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NEIGHBORHOOD SPOTLIGHT
Ingleside was named for the Ingleside Inn, a popular roadhouse in the late 1800s. At that time Ingleside and Oceanview neighborhoods were home to activities at the fringe of the law: rowdy saloons, boxing rings, shooting ranges, and a jail to house all who were caught.
In 1934 the Ingleside jail was turned into City College, a public community college that enrolls up to 1 in 9 San Francisco residents every year.
Ocean Avenue has many cafés, eateries and watering holes. Beep's Burgers is a neighborhood favorite, as is Ocean Ale House.
IMA was founded in June 2017 by Alexander Mullaney, publisher of the Ingleside-Excelsior Light neighborhood newspaper, and Miles Escobedo, co-owner of Ocean Ale House bar and restaurant. Originally, it was named the Ocean View-Merced Heights-Ingleside Business Association.
IMA serves the businesses of the Ocean Avenue, Holloway Avenue, and other nearby pockets of storefronts.
A thriving community requires robust commercial corridors. IMA believes our members are the backbone needed to hold up the wider community.
IMA's purpose is to build and enhance the commerce, safety, and image of Ingleside.
Alexander Mullaney
Ingleside Merchants Association
www.inglesidemerchants.com
What helped you decide to open in the Ingleside District?
Small businesses, like neighborhoods, have unique needs. There are challenges that need to be handled in a dedicated manner. While Ingleside has a Community Benefit District and several well-engaged homeowners associations, there had not been a merchants association for years that could advocate for and organize the vibrant businesses. When we saw more and more businesses opening in the neighborhood, we saw the community growing before our eyes and decided to start a merchants association from the ground up.
What is your most memorable experience since opening?
Celebrating our heritage!
In January, we held a wonderful celebration for our three historic landmarks the Geneva Carbarn and Powerhouse, Ingleside Presbyterian Church and the newly landmarked El Rey theater. Then, in May for Small Business Week, we held a raucous celebration for our four Legacy Businesses. Finally, in September, as part of our annual Craft Beer Bar Crawl, the Western Neighborhood Project's Woody LaBounty gave astounding history talks at each location.
What is your favorite restaurant, business or shop in the neighborhood?
I won't play favorites. To name a few favorites ... Beep's Burgers, Randy's Place, The Ave, Ocean Ale House, Ocean Cyclery, Pho Ha Tien, Sakesan, Mayflower Restaurant, Jojo's Cafe, Go Go 7, Cherry Blossom Bakery, Happy Vape, Fog Lifter Cafe, Champa Garden, Java on Ocean, Auto 280, Faxon Garage, Ocean Hair Design, and Surfaces by David Bonk.
What makes the Ingleside neighborhood different from other merchant corridors in SF?
Ingleside is home to City College of San Francisco, the largest community college west of the Mississippi and one of the most important institutions for small businesses given that it trains workers and owners alike. Between the faculty and students, we have a rich community that comprises and supports our neighborhood's businesses, and we want to work to create an even stronger relationship between the college and the merchant community.
What do you hope for the future for the Ingleside District?
We have a lot more to celebrate. The diversity of people is incredible. Ingleside is a quintessential San Francisco neighborhood with a lot to offer.
With that said, one of our goals is to increase Ingleside's visibility. We're going to let the cat out of the bag: expect a Discover Ingleside Guide to hit streets in early December, just in time for the holidays.


Jamie Evans. Photo courtesy of The Herb Somm.
SevenFifty Daily: How would you describe your business?
Jamie Evans: The Herb Somm is a blog and lifestyle brand that serves as a gourmet guide to cannabis. My site features recipes, industry news, wine and cannabis pairings, and wellness tips. I'm also the founder of Thursday Infused, an event series created to showcase California's talented cannabis chefs and give brands a platform to educate guests about their innovative products. I always like to incorporate wine at every event or educational session that I host. I do terpene education, which allows people to compare the terpenes (organic aroma and flavor compounds) that are found in wine and cannabis, as well as sensory aroma pairings, where people smell wine and cannabis side by side to learn how to smell and evaluate cannabis. I'll work with chefs to create pairing menus for cannabis-infused dinners with wine.
Is there a particular issue that you're trying to address?
It has always been my goal to help end the stigma that surrounds cannabis. In my view, it's a very intellectual product that can benefit your life in so many ways. I also believe that cannabis is an important cooking ingredient. Through my event series, consumers get to experience cannabis cuisine at its finest, while learning how to eat infused foods safely and responsibly. Incorporating cannabis into settings that people are comfortable with—like educational seminars and fine-dining experiences—helps normalize cannabis, which, in the end, will help break the stigma.
Have you had any mentors or people in your field who inspired you?
I am constantly inspired by all of the fantastic women who have found a space in the cannabis industry. It almost feels like a sisterhood, which has created such a dynamic industry to work in. Amanda Reiman of Flow Kana has put in an enormous amount of work toward protecting small growers. Rachel Burkons is also very inspiring—a few years back, she launched Altered Plates, a cannabis catering and events company, with her brother in Los Angeles. I'm also incredibly inspired by Chef Coreen Carroll of the Cannaisseur Series and Monica Lo of Sous Weed, because they have a true gift for cooking with cannabis and making the perfect infusions.
The laws are continually changing, and it takes an enormous amount of time to stay on top of all the new regulations. I recently joined Crop to Kitchen, whose goal is to build a movement to legalize cannabis restaurants in California and position the Bay Area as the capital of cannabis cuisine. We're working together to face new challenges and draft regulations for the culinary sector of cannabis.
Launching Thursday Infused is what brought my brand to life. It's given me the opportunity to connect with the consumer, educating people about the things I'm most passionate about—cannabis, food, and wine.
Wine! I adore Barolo and Barbaresco, as well as Sancerre and Burgundy. I always love a glass of Charles Heidsieck Champagne.
Which three cannabis-related Instagram accounts do you follow most closely?
Read more about Jamie Evans: Infusing Wine Events with Cannabis.


text:
package dan.dit.whatsthat.util.flatworld.mover;

import dan.dit.whatsthat.util.flatworld.collision.Hitbox;

/**
 * Created by daniel on 31.05.15.
 */
public class HitboxNewtonMover extends HitboxMover {
    private static final int STATE_NOT_MOVING = 0;
    private static final int STATE_MOVING = 1;
    private static final int STATE_MOVING_ACCELERATING = 2;
    float mSpeedX;
    float mSpeedY;
    float mAccelX;
    float mAccelY;

    public HitboxNewtonMover() {
    }

    public HitboxNewtonMover(float speedX, float speedY) {
        setSpeed(speedX, speedY);
    }

    /**
     * Creates a new newton mover that moves the given delta with the given speed.
     * The speed is in units per second! Take care that this will not stop the mover after
     * exceeding the given delta, if this is wanted stop it after timeout defined by distance
     * and the given speed.
     * @param deltaX The x delta defining the x speed together with the given total speed.
     * @param deltaY The y delta defining the y speed together with the given total speed.
     * @param speed The total speed of the mover.
     */
    public HitboxNewtonMover(float deltaX, float deltaY, float speed) {
        double dist = Math.sqrt(deltaX * deltaX + deltaY * deltaY);
        float time = (float) (dist / speed);
        setSpeed(deltaX / time, deltaY / time);
    }

    public void setSpeed(float speedX, float speedY) {
        mSpeedX = speedX;
        mSpeedY = speedY;
    }

    public void setAcceleration(float accelX, float accelY) {
        mAccelX = accelX;
        mAccelY = accelY;
    }

    public void multiplySpeed(float multiX, float multiY) {
        mSpeedX *= multiX;
        mSpeedY *= multiY;
    }

    @Override
    public float getSpeed() {
        return (float) Math.sqrt(mSpeedX * mSpeedX + mSpeedY * mSpeedY);
    }

    @Override
    public float getAcceleration() {
        return (float) Math.sqrt(mAccelX * mAccelX + mAccelY * mAccelY);
    }

    @Override
    public int getState() {
        return (mSpeedX == mSpeedY && mSpeedX == 0.f) ? STATE_NOT_MOVING : (mAccelX == mAccelY && mAccelX == 0.f) ? STATE_MOVING : STATE_MOVING_ACCELERATING;
    }

    @Override
    public boolean update(Hitbox toMove, long updatePeriod) {
        float updateFraction = updatePeriod / ONE_SECOND;
        mSpeedX += mAccelX * updateFraction;
        mSpeedY += mAccelY * updateFraction;
        toMove.move(mSpeedX * updateFraction, mSpeedY * updateFraction);
        return false; // internal state changes that the client does not know about are highly unlikely (would be that acceleration stops movement to zero)
    }

    @Override
    public boolean isMoving() {
        return mSpeedX != 0 || mSpeedY != 0 || mAccelX != 0 || mAccelY != 0;
    }

    public float getSpeedX() {
        return mSpeedX;
    }

    public float getSpeedY() {
        return mSpeedY;
    }
}

redpajama_set_name: RedPajamaGithub


Amy Caliri was born in Melrose, MA in 1976 and now lives in Watertown, MA. She has been working as an artist at Gateway Arts since 1995.
During her career Amy Caliri has developed a unique painting and drawing style that is heavily reliant upon line work. Caliri is very observant, a quality which is reflected in her art. She enjoys the creative process, and constantly explores new ideas and techniques.
Caliri's work has been shown at the Gateway Gallery in Brookline, the Berenberg Gallery in Boston, and the Mall at Chestnut Hill in Chestnut Hill, MA. Additionally, Caliri's fiber work has been written about in the Boston Globe by esteemed art critic Cate McQuaid.


text:
The old Windows Photos app is better than the new one, and you can still use it
January 19, 2023 1 week ago9 Views 0 Comments
Many of us are simply accustomed to using the Photos app within Windows 10 and 11 to review images captured by our phones. But the Photos app is actually the new Photos app — and, arguably, the old version is still better. Fortunately, Microsoft seems to have recognized this. What's known as Microsoft Photos Legacy still resides within the Windows Store, and there's one good reason that you might still prefer it over the latest version: its superior content search capabilities. One of the problems with snapping photos we take is that we tend to take the photo, save it or post it on social medi…
Breaking: Ohio State President Is Reportedly Stepping Down
November 28, 2022 2 months ago 0
Published by The Spun By Andrew Holleran The Ohio State University is reportedly set for a major shakeup in leadership. According to a report from
The Golden State Warriors Aren't Trying To Trade Their Young Players
January 20, 2023 January 20, 2023 1 week ago 0
Published by Fadeaway World By Lee Tran The Warriors could keep their young players past the trade deadline. The Golden State Warriors won the championship
Pacers turn back struggling Lakers; Nuggets outlast Clippers in OT
January 20, 2022 1 year ago 0
Published by Philippine Star Luisa Morales – Philstar.com January 20, 2022 | 2:24pm MANILA, Philippines – The Indiana Pacers kept the Los Angeles Lakers struggling
January 29, 2023 6 mins ago 0 Comments

redpajama_set_name: RedPajamaCommonCrawl


text:
Trauma Violence and PTSD
Principles and Techniques of Trauma-Centered Psychotherapy
David Read Johnson, Ph.D., and Hadar Lubin, M.D.
Principles and Techniques of Trauma-Centered Psychotherapy integrates cognitive-behavioral, psychodynamic, and humanistic methods of trauma treatment into a psychotherapeutic context. Rather than presenting a unique form of intervention or technique, the authors present methods that have been used successfully, some of which are supported by evidence-based research and some by broad clinical experience. This is not a general text, then, but one focused on building competence and confidence in trauma-centered interventions, providing methods that should be readily and widely applicable to clinical practice. The authors recognize that asking a client about the details of a traumatic event is an intimate act that calls upon the therapist to be both compassionate and dispassionate in the service of the client's well-being. Accordingly, the book functions as a guide, instructing and supporting the clinician through this demanding and necessary work.
The book has many useful features:
The book stresses technique, not theory, and is appropriate for clinicians of any theoretical orientation, including cognitive-behavioral, psychodynamic, humanistic, and sociocultural. Similarly, the book will be useful to a range of clinicians, from psychiatrists and psychologists to social workers, marriage and family therapists, and professional counselors.
Dozens of detailed clinical case examples are included that illustrate what to say and what not to say in the wide variety of situations that clinicians are likely to encounter.
Down-to-earth strategies are included for setting up the proper trauma-centered frame for the therapeutic work, conducting a detailed trauma history, exploring the effects of the trauma on present-day behavior, and handling the inevitable disruptions in the therapeutic relationship.
Valuable features include study questions, which conclude each chapter, and appendices, which provide a template for a consent-to-treatment form, a traumatic life events questionnaire, and a clinical assessment interview.
In many long-term therapies, regardless of therapeutic orientation, a moment comes when the clinician or client realizes it is time to engage in a detailed exploration of traumatic events. Principles and Techniques of Trauma-Centered Psychotherapy is for that moment, and its rich clinical transcripts and vast detailed techniques will equip the therapist to embark on that process confidently, humanely, and effectively.
Chapter 1. The Developing Cultural Context of Trauma-Centered Psychotherapy
Chapter 2. Axioms of Trauma-Centered Psychotherapy
Chapter 3. Establishing the Trauma-Centered Frame
Chapter 4. Principles of Trauma-Centered Psychotherapy
Chapter 5. The Four Main Techniques
Chapter 6. The First Session
Chapter 7. Continuing the Trauma History: Getting the Details and Formulating the Trauma Schema
Chapter 8. Conducting Ongoing Treatment: Decoding the Trauma Schema in Current Behaviors
Chapter 9. The Gap: When the Trauma Schema Emerges in the Therapeutic Relationship
Chapter 10. Long-Term Process in Treatment
Chapter 11. Handling the Edges
Chapter 12. Working With Clients With Dissociative Identity Disorder
Chapter 13. Working With Clients With Borderline Personality Disorder
Chapter 14. Trauma-Centered Group Psychotherapy
Chapter 15. Trauma-Centered Couples and Family Psychotherapy
Chapter 16. Adjunctive Methods
Chapter 17. Strains on the Therapist
Chapter 18. Limits to the Trauma-Centered Approach
Answers to Study Questions
Appendix A: Consent to Treatment
Appendix B: Traumatic Life Events Questionnaire
Appendix C: Clinical Interview for Assessment of Trauma History
David Read Johnson, Ph.D., is Co-director of the Post Traumatic Stress Center in New Haven, Connecticut and Associate Clinical Professor in the Department of Psychiatry at Yale University School of Medicine. He was formerly the Unit Chief of the Specialized Inpatient PTSD Unit at the National Center for PTSD, VA Medical Center, in West Haven, Connecticut. He is the co-author (with H. Lubin) of Trauma-Centered Group Psychotherapy for Women (Francis & Taylor, 2008), and co-editor (with N. Sajnani) of Trauma-Informed Drama Therapy: Transforming Clinics, Classrooms, and Communities (Charles C Thomas, 2014), as well as numerous articles on trauma treatment.
Hadar Lubin, M.D., is Co-director of the Post Traumatic Stress Center in New Haven, Connecticut and Assistant Clinical Professor in the Department of Psychiatry at Yale University School of Medicine. She was formerly the Unit Chief of the Specialized Inpatient PTSD Unit at the National Center for PTSD, VA Medical Center, in West Haven, Connecticut. She is the co-author (with D. Johnson) of Trauma-Centered Group Psychotherapy for Women (Francis & Taylor, 2008), as well as numerous articles on trauma treatment.
Principles and Techniques of Trauma-Centered Psychotherapy, by David Read Johnson, Ph.D. and Hadar Lubin, M.D. makes an impact. In this book, two very thoughtful and experienced clinicians and teachers convey incisive perspectives on social and psychological contexts that shape the psychological responses to extremely stressful life events. Then, in successive chapters, they lead the reader through the process of applying trauma-centered psychotherapy in individual, group, and couples therapy. In so doing, they clearly articulate basic techniques as well as typical challenges faced in therapy with traumatized individuals.—John H. Krystal, M.D., Robert L. McNeil, Jr., Professor of Translational Research Chair, Department of Psychiatry, Professor of Neurobiology, Yale University School of MedicineChief of Psychiatry, Yale-New Haven Hospital
Principles and Techniques of Trauma-Centered Psychotherapy is a must read for students, practitioners, educators, and even for experts in the field . . . I believe I have already added to my tool-kit and improved my approach thanks to this well presented, authentic, and authoritative volume.—Frank M. Ochberg, M.D., Clinical Professor of Psychiatry, Michigan State University, Former Associate Director, NIMH, Recipient, Lifetime Achievement Award, ISTSS
In Principles and Techniques of Trauma-Centered Psychotherapy, the authors provide an important and needed addition to the trauma treatment literature. They expertly guide the clinician through the nuances and challenges of asking directly and in detail about traumatic events and experiences. As Lubin and Read note, this approach is not for the faint-hearted. They offer clear rationale for trauma-centered psychotherapy whether it is used as a freestanding approach or is part of a sequenced treatment.—Christine A. Courtois, PhD, ABPP, Psychologist, Independent Practice, Washington, DC, National Clinical Trauma Consultant, Elements Behavioral Health/Promises, Malibu, CA and Brightwater, Landing, Wrightsville, PA, Author, Healing the Incest Wound; Treating Complex Trauma: A Sequenced, Relationship-based Approach (with Julian Ford, PhD)
Facing Campus Sexual Assault and Relationship Violence With Courage
Edited by Helen W. Wilson, Ph.D., and Christina T. Khan M.D., Ph.D. 2023
Treatment of Psychological Distress in Parents of Premature Infants
Edited by Richard J. Shaw, M.D., and Sarah Horwitz, Ph.D. 2021
Treatment of Stress Response Syndromes Second Edition
Mardi J. Horowitz, M.D. 2021
Edited by John H. Coverdale, M.D., Mollie R. Gordon, M.D., and Phuong T. Nguyen, Ph.D. 2020
Psychiatric Evaluation and Treatment of Refugees
Edited by J. David Kinzie, M.D., and George A. Keepers, M.D. 2020
Edited by Michael B. Kelly, M.D., and Anne B. McBride, M.D. 2020
Edited by Emil F. Coccaro, M.D., and Michael S. McCloskey, Ph.D. 2019


text:
Should You Attend the Women's March?
It's a flawed march, but it exists in an even more flawed country.
By Jennifer Wright
Jan 16 2019, 5:43 pm EST
Illustration by Erin Lux
Attending the first Women's March in Washington was, if not one of the better days of my life, at least a day that filled me with tremendous relief. After Trump won, I wondered if I had been the only one who was angry about his remarks on women. Because I was so angry. And, as someone who had been naïve to a lot of the political realities of the country prior to the 2016, it felt surprising to find that I lived in a country that would vote for a man who bragged about grabbing women by the pussy over a very qualified woman. Expressing this anger meant being met by a lot of gleeful laughter from Trump voters. Hearing that, I wondered if I had, as many people said liberals were, been living in a bubble. Maybe "locker room talk" and making fun of women for having their periods wasn't a big deal.
It felt like a big deal to me, but, because I am a woman, I began to doubt myself and thought, "well, maybe I was overreacting?"
But there, at the Woman's March, was proof that I was not the one who was angered. There were 1 million other angry women in Washington, and around 4 million across the country. I was not alone. I hadn't been insane to be upset. There were so many other women feeling the same way I was. It was enormously gratifying to see that.
And that was it. The Women's March was great, and it stayed great forever!
Joking. Of course it didn't. Practically nothing does upon closer examination. Those pussy hats, for instance, turned out to be pretty badly thought out, and alienating to trans women.
That was merely the first, immediately evident flaw. There were also concerns about whether or not the march was inclusive enough regarding women of the color. To that end, while the original organizers of the march were all white, they rightly added more WOC to leadership roles. A conscious effort was made to incorporate more diverse speakers. That seemed evident at the Women's March Power to the Polls campaign. There, speakers included Alicia Garza, one of the founders of Black Lives Matter, the social critic Melissa Harris-Perry, Democratic Nevada Senator Catherine Cortez Masto and many more.
In that regard, at least, the March and its leaders seemed to being moving in the right direction.
Suffice to say, as soon as the Women's March began, it became clear there were ways to improve it, and make it welcoming to more people.
But this year seems to pose a special problem as the leaders of the March are accused of anti-semitism. According to Hannah Alam at Buzzfeed, "the latest controversy seems serious even by the standards of its battle-tested leadership."
The problem has to do with Nation of Islam leader Louis Farrakhan, who Women's March co-chairs seem to have a friendly relationship with. In 1984, Farrakhn called Adolf Hitler "a very great man". His views seemingly haven't changed much since then. At a speech last February he claimed that powerful Jews were his enemy and said "Jews were responsible for the filth and degenerate behavior that Hollywood is putting out turning men into women and women into men." I have to admit that cramming those two horrible sentiments into a single statement was, at least, very efficient of him. That is the only positive thing I can say about it.
Women's March co-chair Tamika Mallory was in the audience—and received a shout-out on stage from Farrakhan at that speech. She posted warmly about him on social media, describing him as the GOAT (Greatest Of All Time).
Thank God this man is still alive and doing well. He is definitely the GOAT. Happy Birthday @louisfarrakhan! ✊
A post shared by Tamika D. Mallory (@tamikadmallory) on May 11, 2017 at 1:06pm PDT
Since then, the Women's March has issued a statement saying that "Minister Farrakhan's statements about Jewish, queer, and trans people are not aligned with the Women's March Unity principles." However, there remains a sense among some that Tamika Mallory and others haven't sufficiently denounced Farrakhan's rhetoric.
The recent article in Tablet claiming that Women's March organizers Tamika Mallory and Carmen Perez allegedly "first asserted that Jewish people bore a special collective responsibility as exploiters of black and brown people," has added to some of the anger directed towards the leaders.
Accordingly, there are a number of articles calling for Jewish women—or anyone who does not support anti-semitism—to refrain from marching this year. The Chicago Chapter of the Women's March cancelled the rally amid the controversy regarding the leaders' perceived anti-semitism. Alyssa Milano has claimed that she won't participate in the March due to Mallory's association with Farrakhan and Linda Sasour's defense of her. Teresa Shook, a founder of the Woman's March, has called "for the current Co-Chairs to step down and to let others lead who can restore faith in the Movement and its original intent." The DNC has pulled its support, as have Senators Kamala Harris and Kirsten Gillibrand.
For more political op-eds, sign up for the Harper's BAZAAR Newsletter.
Now, is this issue one that is being given more consideration because it's one that upsets white, cis-gendered women? Almost certainly! Do we often unfairly expect women to be men's keepers? Absolutely. Is having ties to anyone who thinks Hitler was a great man and refers to Jews as termites still bad? Yes. Yes, it would seem that if you were to be comfortable denouncing anyone, it would be someone who said Hitler was a very great man. No matter how close you are to someone, and how much you might have appreciated some of their better efforts, if you are the leader of a movement meant to encompass a tremendous number of women, you should probably firmly denounce anyone who has ever said they liked Hitler.
There is certainly an argument to be made—and one Rina Raphael made very well—that for the Women's March to survive, the leadership should change.
Taking that into account, and speaking only to this year, should you participate in a March led by women who you might, understandably, associate with individuals who have extremely objectionable views?
There are some groups, like the Women's March Alliance in New York, that have splintered off from the leaders of the Women's March and are hosting their own marches (the Alliance's will be in Columbus Circle this Saturday). Certainly, if you're troubled by the leader's relationship with Farrakhan, you might want to attend that march. Participating in a March not affiliated with the Women's March leadership sounds like a good idea. But that may not be possible in less populated areas.
If you don't want to march, that's understandable. It's certainly hard to regard the March with anything resembling the relief it inspired in me during the first year.
But the Women's March represents far more than its leaders. The Women's March is a visual reminder to every politician that women exist. That they're still out there, engaged, and paying attention to the problems that face us.
"The Women's March is a visual reminder to every politician that women exist."
Because the problems that existed two years ago still exist. If people don't feel as horrified as they did immediately after the election, it is not because those problems have gone away. Conditions have, indeed, become far worse for many women. They've become worse, for instance, for immigrant women, who face gender-specific obstacles when attempting to enter the United States. The Violence Against Women Act has lapsed as part of the government shutdown. Killings of transgender women are at an all time high. The Trump administration is attempting to block access to Birth Control. And through it all, we've got a President who laughs at women sharing stories of sexual assault.
Women have made great strides this year, too, but the fact that there's still work to be done is undeniable. And one of the best ways to make politicians take note that you're out there, paying attention, is to take to the streets. As Kaitlin Tiffany wrote, "The revolution does not need an app; it needs human beings whose presence cannot be denied or danced around."
Politicians can ignore Tweets. Those are easy to ignore. It's much harder to ignore the presence of literally millions of women in the street calling for change.
The Women's March could improve. A lot. Its leadership might need to change. But it's still not as flawed as the system that many politicians force women to exist in. And marching against that system is still worthwhile. If you can't bring yourself to March that day because of the leadership, find another way to support women. Pick up the phone. Call your senators. Fundraise for a women's organization. Just don't forget the reasons you might have been inspired to march in the first place.
Jennifer Wright Jennifer Wright is BAZAAR.com's Political Editor at Large.
More From Opinion
Why Men Don't See Women As Heroes
Elizabeth Warren Is the Adult in the Room
Americans Are Shameless About Their Past
Why Anti-Choice People Are Okay with IVF
Kylie Jenner's 'Handmaid's Tale' Party Is Alarming
LGBTQ Rights Are Under Attack Worldwide
Why Showing My Body Isn't "Brave"
American States Are Declaring a War on Women
Georgia's Abortion Law Affects Women Who Miscarry
Why We Need a Tough President Like Kamala Harris
Spotlight Stories
All The Celebrities Attending the Women's March
Images from the Women's March on Washington, D.C.
See the Women's March on Washington in 360°
Details About the Women's Strike on March 8
A Look at Women's Marches Around the World
The 16 Best Signs from the 2018 Women's Marches


DFS Legal in New York. Does this Open a Door for Online Gambling, too?
22 Aug DFS Legal in New York. Does this Open a Door for Online Gambling, too?
The authorities of New York surely took their time to reach a decision on the nature of daily fantasy sports. The debate started last year, when New York Attorney General Eric Schneiderman ordered DraftKings and FanDuel, the two largest DFS operators in the US (and the world) to cease and desist, since he considered their service to be nothing but a form of gambling. He was not the first to do so (Nevada has introduced DFS regulation similar to the one applied to online gambling before him), but he was the most important official to attack the business, since New York is the largest market for the two companies I mentioned above. The decision of the authorities to legalize daily fantasy sports is surely a huge step ahead for the industry and the players alike.
But there are other, similar activities that are still in the legislative limbo in the state. Like the question of legal online casino and poker games.
Online casinos are a lot different from daily fantasy sports, as they don't involve any skill mentionable. You can http://online-casinos.ca visit Online Casinos in CA and try them yourself to see the difference: they are based mainly on chance, or luck. They are not games of skill, but a form of real money entertainment, and approving them in the state would offer wide access to them for any resident of the state (not just those living around / visiting its land-based gambling destinations). The state has no online casino laws in discussion right now, and it might never even have any in the near future.
The New York Senate has approved its first online poker bill last week since the whole online gambling regulation was put into discussion in the US. And it was a devastating win for the pro-poker legislators: after a lively debate between Sen. John Bonacic, the sponsor of the bill, and Sen. Liz Krueger, one of the hottest opponents of the whole industry, the Senate voted 53 to 5 in favor of the bill. To make the taste of victory even sweeter, the bill was approved on Sen. Bonacic's birthday, even despite Sen. Krueger's rant about how the internet and the smartphones turn Americans into zombies.
While this is surely a major step forward, it's not yet a success – and it might not even be enough for the state to have a poker regulation. The bill still has to pass through the Assembly (it won't this year, for sure), and it may never become a reality. Right now, it's nothing but a bit of hope for those who want to play a game of poker on the go. And that's something, I guess.
What will the future hold? Only time will tell!


text:
Posted in | News | Gold | Silver
El Tigre to Commence Drilling at Sonora Silver-Gold Property
View Supplier Profile
From El Tigre Silver Corp.Dec 19 2012
El Tigre Silver Corp. (the "Company" or "El Tigre") is pleased to report that it has signed a contract with MAJOR DRILLING DE MEXICO, S.A. DE C.V. ("Major Drilling") and has mobilized a core drilling machine and associated equipment to its 431 square kilometer El Tigre silver-gold property in northern Sonora, Mexico. Drilling will commence the first week of January 2013. The Company is fully funded to complete this next phase of drilling.
El Tigre has conducted exploration drilling since 2011 over the highly productive El Tigre vein system. Drilling has more recently focused on the southern 1.2 kilometer portion of the vein system in an area called Gold Hill where a disseminated gold halo around the El Tigre vein was discovered. The original plan for the 2012 program was to drill 5000 meters in 25 holes. That drilling program was divided into two phases with the first phase completed in June with 12 holes for a total of 2293 meters and the drilling that will commence in January is the second phase and is planned for 2700 meters.
The second phase of drilling now has the benefit of new field work that has identified a disseminated target in the foot wall of the El Tigre vein system. Drilling will test this new target, which could expand the overall width of the targeted gold zone.
El Tigre Silver Files NI 43-101 PFS for Mexico El Tigre Silver & Gold Project
El Tigre to Exploit Extensive Silver and Gold Surface Tailings in Sonora
El Tigre Reports Significant Progress in Gold Hill Drilling Campaign
Current plans for the 2013 program include a total of 5000 meters of drilling in 30 to 40 holes. The first phase of this program will be 2,700 meters and will focus on the 1.2 kilometer halo zone which is found on Mula Mountain to the north and Gold Hill to the south. An update to the Company's NI-43-101 technical report, based on the drill holes completed to date and the 2013 holes, is expected to report gold and silver resources. The technical report is scheduled for completion in the second quarter of 2013.
Work has been underway at the project site constructing new access roads and drill sites across the Gold Hill zone to facilitate fan drilling and rock-saw channel sampling on road cuts. Major Drilling has stationed its drilling equipment at the El Tigre camp. This equipment will then be available to be relocated to the Gold Hill target area once work commences in early January 2013. Major Drilling was the drilling contractor used for the 2011 program.
Stuart Ross, President and CEO stated, "Our 2013 exploration program will provide information which will allow for a complete revision of our NI 43-101 Technical Report. For the first time, the company will be able to measure its exploration success with reported resources."
The technical content of this news release has been approved by Steven D. Craig, CPG and Vice President of Exploration for El Tigre, a Qualified Person as defined in NI 43-101.
Source: http://www.eltigresilvercorp.com/
El Tigre Silver Corp.. (2019, February 18). El Tigre to Commence Drilling at Sonora Silver-Gold Property. AZoMining. Retrieved on January 27, 2023 from https://www.azomining.com/News.aspx?newsID=7565.
El Tigre Silver Corp.. "El Tigre to Commence Drilling at Sonora Silver-Gold Property". AZoMining. 27 January 2023. <https://www.azomining.com/News.aspx?newsID=7565>.
El Tigre Silver Corp.. "El Tigre to Commence Drilling at Sonora Silver-Gold Property". AZoMining. https://www.azomining.com/News.aspx?newsID=7565. (accessed January 27, 2023).
El Tigre Silver Corp.. 2019. El Tigre to Commence Drilling at Sonora Silver-Gold Property. AZoMining, viewed 27 January 2023, https://www.azomining.com/News.aspx?newsID=7565.


For decades Ridsdale Steel Fabricators have been cutting, forming and welding metal with precision and expertise. Ridsdale is far more than just another laser cutting shop, we're a full service metal fabricator with all the right equipment and right people all under one roof.
Provider of custom steel fabrication.


Keeping your iPhone, iPad, iPod Touch updated to the freshest and newest version of iOS software is something that Apple users take pride in, but Apple is incorporating a new feature in iOS 12 that takes things up a notch. Basically, it allows all iOS users to ensure they're all updated.
The feature is universally known as "Automatic Updates". Once you activate it, iOS will do an automatic installation of any firmware update on the current device.
If you own an iPad or iPhone and want to make sure that you have the latest iOS version installed, but don't want to keep tabs on whether or not an update has arrived, then the Automatic Updates feature is for you.
Lastly, switch the toggle from inactivate (off) to active (on). If you want to switch automatic updates off again, toggle the switch to the other side.
And that's all what's needed. It's worth mentioning however that in the existing iOS 12 betas, the Automatic Updates feature is switched off by default, you need to toggle it on if you want to activate it. Also, it's possible that the default behavior will be different in a future beta, but we'll have to wait and see.
Apple iOS 12 is slated to arrive later this year, alongside new iPhones, most likely in the month of September. The software is in the beta 3 stage at the moment, and we expect it to go through some changes here and there before it can be officially accessed by the public. We'll keep an eye on the important change and inform you if anything major happens. Till then, keep following UnlockBoot.


text:
Q: Finding the interval of $x$ such that $\left\lfloor \frac{4}{x}\right\rfloor + \left\lfloor \frac{2}{x} \right\rfloor = 7$ This is a problem that I came across in my book.

Find the interval in which $x$ must lie for :
$$\left\lfloor \frac{4}{x}\right\rfloor + \left\lfloor \frac{2}{x} \right\rfloor = 7$$

To find the interval's upper and lower limit I found the value for which $\frac{4}{x} + \left\lfloor \frac{2}{x} \right\rfloor$ equals $7$ and that for which the same expression equals $8$. Finding no value for the latter, I jumped on to $9$.

This method holds true perhaps because there is no such value for which the expression lies in interval $\big[8,9\big)$ but for sake of completeness I wish to know how to determine whether a sum of two floor functions will have a value in any particular interval.
Any other insights into the method of solving problems of this sort are more than welcome.
The interval for $x$ for which the expression holds true comes out to be $\big(\frac{2}{3},\frac{4}{5}\big]$.

A: Let $\;\frac{2}{x} =n+f\;$ where $\;n\;$ is a integer and $\;0\le f<1\;.$
If $\;0\leqslant f<\frac12\;$ then $\;\left\lfloor\frac2x\right\rfloor=n\;$ and $\;\left\lfloor\frac4x\right\rfloor=2n\;.$
If $\;\frac12\leqslant f<1\;$ then $\;\left\lfloor\frac2x\right\rfloor=n\;$ and $\;\left\lfloor\frac4x\right\rfloor=2n+1\;.$
For $\;0\le f<\frac12\;$ there is no solution but for $\;\frac12\leqslant f<1\;$ we have $\;n=2\;$ as a solution.
Therefore $\;\frac2x=2+f\;$ with $\;\frac12\leqslant f<1\;$ satisfies the equation.
Hence,
$\frac52\leqslant\frac2x<3\;\;,$
$\frac13<\frac x2\leqslant\frac25\;\;,$
$\frac23<x\leqslant\frac45\;.$
Consequently, the interval for $x$ for which the expression holds true comes out to be $\left(\frac23,\frac45\right].$

A: Put $x=\frac 2k$ then you are left with $$\lfloor 2k\rfloor +\lfloor k\rfloor =7$$
Since the expression $\lfloor 2k\rfloor +\lfloor k\rfloor =7$ is increasing in $k$ and constant on $[n, n+0.5)$ and $[n+0.5,n+1)$ for all integers $n$. From this it's easy to see that $k=2.5$ and the entire interval $[2.5,3)$ is the solution.
Putting this back we get $(\frac 23,\frac2{2.5}]$.

A: $$\left\lfloor \frac 2x \right\rfloor + \left\lfloor \frac 4x \right\rfloor = 7$$
Let $\dfrac 2x = n + \epsilon$ where $n \in \Bbb Z$ and $0 \le \epsilon < 1$
Then $\dfrac 4x = 2n + 2\epsilon$ where $2n \in \Bbb Z$ and $0 \le 2\epsilon < 2$
So $\left \lfloor \dfrac 4x \right \rfloor$ equals either $2n$ or $2n+1$.
Since $n + 2n = 7$ has no integer solution, then $\dfrac 12 \le \epsilon < 1$ and $n + (2n+1) = 7$. Hence $n = 2$ and
$$\dfrac 2x \in 2 + \left[\dfrac 12, 1 \right)$$
$$\dfrac 2x \in \left[\dfrac 52, 3 \right)$$
$$ \dfrac x2 \in  \left(\dfrac 13, \dfrac 25 \right]$$
$$ x \in  \left(\dfrac 23, \dfrac 45 \right]$$

redpajama_set_name: RedPajamaStackExchange


Was an age of miracles, F Scott Fitzgerald wrote in his essay. F Scott Fitzgerald wrote in his essay Echoes of the Jazz Age. © 2014 Alba Medical Supply.
2014-12-07 · 'So We Read On' and 'Bohemians, Bootleggers, Flappers, and 1931 essay, "Echoes of the Jazz Age BOHEMIANS, BOOTLEGGERS, FLAPPERS, AND SWELLS.
In his 1931 essay "Echoes of the Jazz Age," Fitzgerald wrote, "It was an age of miracles, it was an age of art, it was an age of excess, and it was an age of satire."
echoes of the jazz age Description : The first comprehensive collection of F. Scott Fitzgerald's short stories and essays is now available in eBook only.
2018-01-10 · This is an Essay by F.Scott Fitzgerald in 1931, which I couldn't find through other video sites online. I made it in one night microphone gear for a night.
© Best essays Essay writing | Essay examples Echoes of the jazz age fitzgerald essay.


That's one way to spice up your daily commute!
A man has been captured on camera absolutely nailing an air drumming routine on the subway.
The absolute legend can be seen in the clip with his earphones in, drumming on his imaginary drum kit with what appears to be some serious precision.
Watch the video above, which was originally posted by Jesse Elder on YouTube and entitled Blast Beat on the B Train.
The curly haired music lover looks every bit punk rock as he drums like no one is watching as subway riders around him look on in amazement.


text:
Helping Authors & Inspiring Readers
My Loving Vigil Keeping
by Carla Kelly
Della's giving up all the comforts of bustling Salt Lake City to teach school in a rural coal mining camp. Little does she know, she may soon be giving up her heart as well. But when tragedy strikes in the Scofield Mine, Della's life will be changed forever. Based on true events, this thrilling new romance from award-winning and bestselling author Carla Kelly is a must-read!
A Reader's Opinion
For me, this story really began once Della arrived in Scofield. At 8,000 ft elevation, the mining camp didn't seem to offer much that would entice a teacher from the city. I felt as though Della endured that first sight simply because she didn't feel turning back was an option, but you soon see her sense of adventure and her willingness to not give up.
Owen Davis is a charmer and I enjoyed his banter with Della. Where I admired Della's courage and strength, Owen was my favorite. Despite his difficulties, he makes room in his life for hope. I enjoyed the blending of cultures and most especially the history behind the mining disaster. The author made this event feel very real and I found myself feeling the same emotions as the characters. The romance is present, but it burns slowly and sweetly. The author definitely has a talent for writing and keeps the pace of the story going from chapter to chapter.
"Live a little and laugh some more"—my favorite line from the book!
Note to Readers: This book has a good deal of religion in it. It didn't bother me, but it is present. I feel that it adds to the story rather than overpowers it, but that is just this reader's opinion.
Format Read: Paperback
Book Source: Publisher
Reviewer's Rating:
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Richard Lannowe Hall BA RASA Founder, manger.
Dr Bill Jerrom: Chair of Trustees. I am a Consultant Clinical Psychologist working in mental health services in the NHS. I have been involved with Sailaday OK since the charity was founded, and I think it has an inspirational and very innovative approach. I have a lot of experience of clinic and residential unit based therapy programmes, and I feel that adventure therapies are potentially very effective, and can help people with very unhappy life stories make rapid changes. The excitement and challenge of sailing in a yacht gives people recovering from addictions a unique opportunity to experience both happiness and competency – you can see this in their video blogs! Sailaday does really change lives.
Martin Little, Trustee and Treasurer .Fellow of the Association of Chartered Certified Accountants and member of the Institute of Chartered Tax Advisers, and partner in Greenwood Wilson Chartered Tax Advisers and Accountants.
Mr Trevor Brookes: I am 48 and work for the UK Border Agency. (Formally HM Customs & Excise ). During over 20 years of service, of which most of it has been connected to maritime activities, I have gained a great appreciation of how sailing and boating can be so challenging, and yet so rewarding and therapeutic. I am also aware of how team working and having a part to play within a team instills a sense of responsibility and membership. Additionally, through my work, I also have an insight into the darker side of drug and alcohol issues, and how difficult it can be for someone to break out of the spiralling circle they might find themselves trapped in when involved in these matters.
John Marshall:I've been an enthusiastic sailor for 30 years and have really appreciated the profound sense of connection with the universe one feels when at sea. It brings a sense of perspective that no other experience does. In supporting Sailaday OK as a trustee I hope to bring this experience to people who really need it. Having met several of the participants I'm assured that they derive real benefits from the therapy.
A British Association of Counselling and Psychotherapy psychotherapist (Snr Accred), supervisor and free-lance trainer in private practice and a higher education lecturer. She has a particular interest in second stage recovery from substance addiction (co-dependency) and is author of Anger, Rage and Relationship: An Empathic Approach to Anger Management (Routledge 2008). Anger management difficulties are conceptualised as a symptom of unprocessed trauma, life events which a person has been unable to process previously. EAM respects an individual's unique character, history and current mental health status rather than delivering a psycho-educational 'one size fits all' programme; clients are assisted to develop the capacity to process life's experiences in a therapeutic relationship rather than teaching 'management strategies' which temporarily suppress rage but don't address underlying trauma. Sue also conceptualises addiction as a symptom of unprocessed trauma requiring a similar, tailored to the client, approach. She enjoys sailing for fun.


text:
\section{Introduction}

The discovery of the Higgs with a mass around $125$ GeV~\cite{Chatrchyan:2012ufa, Aad:2012tfa} completes the last missing piece of the Standard Model (SM) and indicates that the SM precisely describes the fundamental interactions at lower energy scale. But with the discovery of Higgs, the Higgs naturalness problem is still mysterious and remains to be solved in the next decades. To solve this problem, the new physics (NP) should be introduced at TeV scale, such as SUSY~\cite{Wess:1974tw,Volkov:1973ix} and composite Higgs models~\cite{Kaplan:1983fs,Georgi:1984af,Dugan:1984hq}. So far the $14$ TeV LHC has not found any new physics, which may indicate that the NP scale is so high that beyond the reach of current experiment searches. With such a high NP scale, the precise measurements of the SM interactions at lower scale is an available way to search for the hints of NP, which can be well parametrized by high dimensional operators of the SM Effective Filed Theory (SMEFT). So it becomes important to understand the SMEFT for the search of NP imprints. Since the running of Wilson coefficients can significantly affect the contributions of NP to SM processes at loop level, the  anomalous dimensions of effective operators are crucial for correctly calculating the experiment observables in SMEFT without loosing any infrared informations of the NP.

Recently it was found that on-shell scattering amplitudes have remarkable advantages for the study of SMEFT, comparing with the traditional Lagrangian language. The high dimension operators can be described by unfactorizable amplitudes~\cite{Shadmi:2018xan,Ma:2019gtx}, called $amplitude$  $ basis$, without boring with the redundancies from the equation of motion and integration by part (these redundancies are automatically removed by the intrinsic properties of on-shell method: on-shell conditions and momentum conservation). With this new basis, the calculation in SMEFT can be implemented without referring to the Lagrangian. Some surprising relations and properties of EFTs, which are not manifest in quantum field theory, can be easily seen via this method. For example,  some  EFTs can be described by scattering equations~\cite{Cachazo:2013iea} uniformly or constructed/classified systematically from soft limits~\cite{ArkaniHamed:2008gz,Cheung:2016drk,Low:2014nga}. The running of Wilson coefficients of SMEFT can be strongly constrained by selection rules~\cite{Cheung:2015aba,Bern:2019wie,Jiang:2020sdh} based on unitarity cut method.

Since the on-shell scattering amplitudes are only described by the physical degrees of freedom, the calculations in SMEFT can be very efficient via on-shell method without involving gauge fixings and ghosts. Particularly, the one-loop amplitudes can be decomposed into the sum of a basis of scalar integrals plus rational functions. And the coefficients of the scalar integrals are determined by the product of the tree-level on-shell amplitudes from the generalized unitary cuts~\cite{Bern:1994zx,Bern:1994cg,Bern:1997sc}. So the one-loop amplitudes can be obtained through simple tree-level calculations without involving any loop integrations. In the basis of scalar integrals, only the bubble integrals are UV divergent, so the anomalous dimension matrix is simply determined by the coefficients of massive and massless bubbles, which can be obtained by Stokes's Theorem~\cite{Mastrolia:2009dr} or other methods~\cite{ArkaniHamed:2008gz,Huang:2012aq,Forde:2007mi,Anastasiou:2006jv} (for massive bubble integrals) and collinear divergences of tree level amplitudes (for massless bubble integrals)~\cite{Giele:1991vf,Giele:1993dj,Kunszt:1994np}. Notice that UV divergences from massless bubble integrals are universal and only determined by renormalizable interactions so they can be directly read out without any calculations~\cite{Kunszt:1994np}. Comparing with the existing calculation of the anomalous dimension matrix of dimension six~\cite{Grojean:2013kd,Jenkins:2013wua,Alonso:2013hga,Jenkins:2013zja,Alonso:2014zka} via Feynman diagrams, the on-shell method appears to be more convenient and powerful, especially when applied in the calculations involving higher dimension operators.

In this paper we demonstrate how to use the on-shell method to derive the anomalous dimension matrix via tree-level amplitudes and give some non-trivial examples, such as $F^3$ type operators and dimension 8 operators (the complete dimension 8 operator basis can be found in~\cite{Li:2020gnx, Murphy:2020rsh}). Since the UV divergence from a massless bubble integral is universal (only depends on the external legs attached to this bubble diagram), we list all the UV divergent factors from massless bubbles for all the SM fields. So people can directly use these results to calculate the renormalization of SMEFT operators at one-loop level without calculating this kind of UV divergences again. We find that the custodial symmetry can also explain some zeros in anomalous dimension matrices, which can not be explained by the existing selection rules. Based on unitary cuts, the anomalous dimension matrices of the operators with arbitrary dimensions that contribute to $2 \to 2$ processes can be easily expressed in universal forms and we explicitly show the universal expressions for the running of $B^+B^-H^2 D^n$ type operators generated from the insertion of general $H^4 D^{2n +4}$ type operators at one-loop level.

The structure of this paper is organized as follows. A detailed discussion about the anomalous dimension calculation in SMEFT via the on-shell method is presented in Sec.~\ref{sec:Intro}, and some examples are shown in Sec.~\ref{sec:example}. The anomalous dimension matrix for dimension 8 amplitude basis $V^+ V^- H^2$ is obtained in Sec.~\ref{sec:dim8}. We show the universal results of anomalous dimensions for general amplitude basis $B^+ B^- H^2 D^{2n}$  in Sec.~\ref{sec:universal} and conclude in Sec.~\ref{sec:conclusion}. A simple example of deriving collinear divergent factor and detailed calculation of the anomalous dimension of $\mathcal{O}_{eW}$ via on-shell method are presented in App.~\ref{collinear} and App.~\ref{app:Oew}.

\section{The on-shell loop method based on unitary cut}
\label{sec:Intro}
Since the renormalization of on-shell SMEFT is induced by UV divergent part of amplitudes, in this section we explain how to derive the full UV divergences of the amplitudes via unitary cut and collinear singularities of tree-level amplitudes.

The non-renormalizable interactions of the on-shell SMEFT can be described by the amplitude  basis
$ \sum_i c_i \mathcal{M}_{\mathcal{O}^i} $, where $c_i$ is the Wilson coefficient. To obtain the RG equations for $c_i$, we consider the amplitude which receives tree-level contribution from $\mathcal{M}_{\mathcal{O}^i} $ as well as loop contributions with another amplitude basis $\mathcal{M}_{\mathcal{O}^j}$ insertion. The full amplitude takes the form of
\begin{align}
\mathcal{A}_i ^{\text{1-loop}} \sim c_i(\mu)-\gamma_{ij}\frac{1}{16\pi^2}c_j(\mu)(\frac{1}{2\epsilon}+\log \mu+\ldots),
\end{align}
where  the terms $\frac{1}{2\epsilon}+\log \mu$ come from the UV divergence with dimension regularization $D=4-2\epsilon$ and $\mu$ is the renormalization scale. By demanding the full amplitude being independent of the scale $\mu$, one directly obtains the renormalization group (RG) equation
\begin{align}
\frac{\text{d} c_i(\mu)}{\text{d} \log \mu}=\sum_j\frac{1}{16\pi^2}\gamma_{ij}c_j(\mu),
\label{rge}
\end{align}
where $\gamma_{ij}$ is the the anomalous dimension matrix governing the RG running.
\subsection{Unitarity cut and bubble coefficients}
To extract the UV divergence in the one-loop amplitude, a convenient way is to decompose it into the combination of  a basis of scalar integrals including boxes, triangles and bubbles plus rational functions~\cite{Bern:1994zx,Bern:1994cg}
\begin{equation}
\mathcal{A}^{\text{1-loop}}=\sum_k C_4^k I_4^k+\sum_j C_3^j I_3^j+\sum_k C_2^i I_2^i+R.
\label{rge}
\end{equation}
Here the index $i$ ($j$ or $k$) labels the distinct integrals with different partition of the external legs. These integrals capture the branch cuts of the loop amplitudes and their coefficients $C^i_{4,3,2}$ can be obtained from tree level amplitudes by generalized unitary cut~\cite{Bern:2004cz,Bern:2004ky,Britto:2004nc}. The scalar bubbles are the only UV divergent integrals in four dimensions. With dimension regularization it takes the form:
\begin{eqnarray}
I_2^i &\equiv&-i\int \frac{d^d l}{(2\pi)^d} \frac{1}{l^2(l-K)^2}
=\frac{1}{(4\pi)^2}(\frac{1}{\epsilon}-\log \frac{-K^2}{\mu^2}+...).
\label{bubble}
\end{eqnarray}
So the only job to derive anomalous dimension matrix is to extract the bubble coefficients. They can be easily  obtained by using Stokes's theorem based on unitary cut~\cite{Mastrolia:2009dr}. In the following section, we will briefly discuss about this method.

\begin{figure}
\centering
\begin{tikzpicture}

\node[draw,circle,fill=gray,inner sep=8pt] (amp1) at (0,0) {$A_L$};
\node[draw,circle,fill=gray,inner sep=8pt] (amp2) at (3,0) {$A_R$};
\fill (-1,0.3) circle (2pt);
\fill (-1.1,0) circle (2pt);
\fill (-1,-0.3) circle (2pt);
\fill (4,0.3) circle (2pt);
\fill (4.1,0) circle (2pt);
\fill (4,-0.3) circle (2pt);
\draw node at (4.5,0) {$K_i$};
\draw[thick] (amp1) to [out=45,in=180] (1,0.8) node[label=$l_1 $] {};
\draw[thick] (amp1) to [out=-45,in=180] (1,-0.8) node[label=$l_2$] {};
\draw[thick] (amp2) to [out=135,in=0] (2,0.8) node[label=$-l_1$] {};
\draw[thick] (amp2) to [out=-135,in=0] (2,-0.8) node[label=$-l_2$] {};
\draw[thick] (amp1) to [out=-135,in=45] (-1,-1) node[label=$$] {};
\draw[thick] (amp1) to [out=135,in=-45] (-1,1) node[label=$$] {};
\draw[thick] (amp2) to [out=45,in=-135] (4,1) node[label=$$] {};
\draw[thick] (amp2) to [out=-45,in=135] (4,-1) node[label=$$] {};
\draw[dashed] (1.5,-1) -- (1.5,1);
\end{tikzpicture}
\caption{$K_i$-channel double cut.} \label{fig:cut}
\end{figure}

\subsection{Extraction of bubble coefficient}
Since there are two propagators in the loop of bubble integrals,  the bubble coefficients can be extracted by double cuts.
To extract the coefficient $C^i_2$, the  $K_i$-channel  double cut should be implemented  to $\mathcal{A}^{\text{1-loop}}$ in eq.~\ref{rge}, as illustrated in Fig.~\ref{fig:cut}. The left hand side of this equation  becomes
\begin{eqnarray}
\text{Cut}_{K_i}[\mathcal{A}^{\text{1-loop}}]= \int d \text{LIPS}_i  \sum_{h_i} \mathcal{A}_L^{\text{tree}} (l_1, l_2,h_i) \mathcal{A}_R^{\text{tree}}(-l_1,-l_2, -h_i),
\label{eq:disc_l}
\end{eqnarray}
where $d \text{LIPS}_i=d l_1^4 d^4 l_2^4 \delta^{(+)}(l_1^2)\delta^{(+)}(l_2^2)\delta(l_1+l_2-K_i)$ is the Lorentz-invariant phase space associated with the $K_i$-channel cut, $l_{1,2}^\mu$ is momentum of the propagators, $\mathcal{A}_L^{\text{tree}}, \mathcal{A}_R^{\text{tree}}$ are tree level amplitudes on each side of the cut and $h_i$ is the polarization configuration of the cutted internal legs.

The coefficient of bubble is proportional to the rational terms of the double cut, because the un-cutted propagators in the $I_{3,4}$ will make the integration variable $l_{1}$ appear in the denominators and thus contribute only irrational terms.  So the bubble coefficients is given by
\begin{eqnarray}
 C_2^i= -\frac{1}{2\pi i} \text{Rational} [\int d \text{LIPS}_i  \sum_{h_i} \mathcal{A}_L^{\text{tree}} \mathcal{A}_R^{\text{tree}} ],
\label{eq:c2}
\end{eqnarray}
where the factor $-2\pi i$ is from the double cut  on bubble integral $I_2^i$ (will be seen in the following discussion).
To efficiently calculate the phase space integral,  the loop momentum can be parametrized as
\begin{eqnarray}
(l_1)_{a \dot{a}}=t \lambda_a \tilde{\lambda}_{\dot{a}},
\end{eqnarray}
so that the phase space integral can be written as
\begin{eqnarray}
\int d \text{LIPS}_i=\int t dt \int_{\bar{\lambda}=\tilde{\lambda}} \frac{ \langle \lambda d\lambda \rangle [\tilde{\lambda} d\tilde{\lambda}]}{\langle l| K_i |l]} \delta(t-\frac{K^2_i}{\langle l |K_i| l]}).
\end{eqnarray}

Notice that we are integrating over the contour $\bar{\lambda}=\tilde{\lambda}$ so that the loop momentum is real. The spinor variables $\lambda (\tilde{\lambda})$ can be further decomposed  into a basis of two massless spinors with a complex coefficient $z$,
\begin{eqnarray}
\ket{ \lambda} = \ket{p}+z \ket{q}, |\lambda ]= |p]+\bar{z} |q],
\end{eqnarray}
where $p_\mu$ and $q_\mu$ are two null momenta satisfying
$K_\mu^i=p_\mu+q_\mu.$
With this parametrization, the phase space integral can be expressed in terms of the integration of complex variable $z$,
\begin{eqnarray}
\int d \text{LIPS}_i= \oint dz \int d \bar{z} \int  dt  \;t^2 \delta(t-\frac{1}{(1+z\bar{z})}).
\end{eqnarray}
Then the cut of the bubble integral can be easily evaluated and equal to
\begin{eqnarray}
\text{Cut} [I_2^i]&=&\oint dz \int d \bar{z} \int t^2 dt \delta(t-\frac{1}{(1+z\bar{z})})
=\int dz \frac{-1}{(1+z\bar{z})z}
=-2\pi i.
\end{eqnarray}
In the last two step, we first integrate over $\bar{z}$ and then sum over the residues at all poles of $z$. This result explains the $-2 \pi i$ factor in Eq.~\ref{eq:c2}.  Under this parametrization the cutted amplitude becomes
\begin{eqnarray}
\Delta_i(z,\bar z) &\equiv&   \int d \text{LIPS}_i  \sum_{h_i} \mathcal{A}_L^{\text{tree}} \mathcal{A}_R^{\text{tree}}
= \oint dz \int d \bar z   t^2 \sum_{h_i}  \mathcal{A}_L(t, z, \bar z ) \mathcal{A}_R (t,z, \bar z )\vert_{t= \frac{1}{1+z \bar z}}.
\end{eqnarray}
 After perform the $z$-integration via Cauchy's Residue Theorem, finally  $C_2^i$ in  Eq.~\ref{eq:c2} can be easily evaluted via the following expression,
 \begin{eqnarray}
 C_2 = \frac{\Delta_i ^{ \text{Rational}}}{-2\pi i} =-\text{Res}_{z=0} F^{\text{Rational}}(z,\bar z)  -\text{Res}_{z \ne 0} F^{\text{Rational}}(z,\bar z),
 \end{eqnarray}
 where  $F^{\text{Rational}} $ is the rational part of $F(z,\bar z) =\int d \bar z  t^2\sum_{h_i}  \mathcal{A}_L(t, z, \bar z ) \mathcal{A}_R (t,z, \bar z )\vert_{t= \frac{1}{1+z \bar z}}$.
\subsection{Collinear divergence}
Using unitary cut we can not get the full UV divergences of loop amplitudes. Only the coefficients of massive bubble ($K^2_i>0$) can be obtained via unitary cut. Massless bubbles with $K^2_i=0$ also contain UV divergences, which simply vanish in dimension regularization due to the cancellation between UV and collinear IR divergence. Since the physical cross section is free of collinear divergences, the collinear divergences of the tree amplitudes must be cancelled by collinear loop IR divergences. So the UV divergence in massless bubbles can be extracted by calculating collinear divergences of the corresponding tree amplitudes.
The one-loop collinear IR divergence can be parametrized as~\cite{Giele:1991vf,Giele:1993dj,  Kunszt:1994np}
\begin{eqnarray}
\mathcal{A}_{\text{n,col}}^{\text{1-loop}} = -(\frac{1}{4\pi} )^2 \sum_{a}^n \frac{\gamma(a)}{\epsilon} \mathcal{A}^{\text{tree}},
\end{eqnarray}
where the sum is over all external legs and $\gamma(a)$ is the collinear factor for each particle $a$.
We want to emphasize that the collinear factors only depend on the external legs and are universal for SMEFT. In Appendix~\ref{collinear} we show one example of deriving the collinear factors. For all the SM fields the collinear factors are obtained to be,
\begin{eqnarray} \label{eq:collinear}
\gamma(H^a)&=& \gamma(H^{\dagger \dot a}) =2y_h^2g_1^ 2  -\frac{1}{2} \text{Tr}[ N_c Y_u^\dagger Y_u+ N_c Y_d^\dagger Y_d+Y_e^\dagger Y_e] +2g_2^2C_2(2), \nonumber \\
\gamma(B) &=& -\frac{g_1^{2}}{3} \Big[ n_g N_c ( y_{q}^2 +y_{u}^2 +y_{d}^2) + n_{g}( y_{\ell}^2 +y_{e}^2 )+y_h^2 \Big], \nonumber \\
\gamma(W^{a}) &=& g_2^2\Big[\frac{11}{3} -\frac{1}{3} ( \frac{n_g}{2}N_c +\frac{n_{g}}{2} +\frac{1}{4}) \Big], \nonumber \\
\gamma(g)&=&   g_3^2 \Big( \frac{11N_c}{6} -\frac{1}{3} n_g \Big), \nonumber \\
\gamma(\ell) &=& \frac{3}{2} g_2^2 C_2(2) + \frac{3}{2} y_{\ell}^2 g_1^{ 2} -\frac{1}{4} Y_e^\dagger Y_e, \nonumber \\
\gamma(e) &=& \frac{3}{2} y_{e}^2 g_1^{2}   -\frac{1}{2}Y_e^\dagger Y_e, \nonumber \\
\gamma(q) &=& \frac{3}{2} g_3^2 C_2(N_c)+\frac{3}{2} g_2^2 C_2(2)+ \frac{3}{2} y_{q}^2 g_1^{ 2} - \frac{1}{4} (Y_u^\dagger Y_u+ Y_d^\dagger Y_d),  \nonumber \\
\gamma(u) &=& \frac{3}{2} g_3 C_2(N_c)+ \frac{3}{2} y_{u}^2 g_1^{ 2}  - \frac{1}{2}Y_u^\dagger Y_u,\nonumber \\
\gamma(d) &=& \frac{3}{2} g_3 C_2(N_c)+ \frac{3}{2} y_{u}^2 g_1^{ 2}  - \frac{1}{2} Y_d^\dagger Y_d.
\end{eqnarray}
Here $q$ and $l$ are $SU(2)$ doublets for left hand quarks and leptons, while $u,d$ and $e$ are right hand singlets. $g_3$, $g_2$ and $g_1$ are the gauge couplings of $SU(3)_C \times SU(2)_L \times U(1)_Y$, with $y_i$ being the hypercharge. $Y_{u}$ , $Y_{d}$ and $Y_e$ are Yukawa couplings. $N_c=3$ is QCD color number; $n_g=3$ is the number of  generations. And $C_2(N)=\frac{N^2-1}{2N}$.

So for any SMEFT loop calculation, the UV divergences of massless bubbles can be directly read from Eq.~\ref{eq:collinear}  without  any calculation.

Combining the UV divergences from massive bubbles with collinear IR divergences, we can finally obtain the anomalous dimension matrix correctly. In the next section we will give some non-trivial examples to clearly show how  to get the anomalous dimension matrix systematically via on-shell method.

\section{Examples for calculation of anomalous dimension matrix}
\label{sec:example}
In this section we give some examples to demonstrate the on-shell loop method for calculating the RG running of SMEFT in detail.
\subsection{$\mathcal{O}_{HB}$}
\tikzset{
    photon/.style={decorate, decoration={snake}},
    electron/.style={draw=blue, postaction={decorate},
        decoration={markings,mark=at position .55 with {\arrow[draw=blue]{>}}}},
    gluon/.style={decorate, draw=magenta,
        decoration={coil,amplitude=4pt, segment length=5pt}}
}
\begin{figure}
\centering
\begin{tikzpicture}
\node[draw,circle,fill=gray,inner sep=8pt] (amp1) at (0,0) {$A_L$};
\node[draw,circle,fill=gray,inner sep=8pt] (amp2) at (3,0) {$A_R$};

\draw[thick,dotted] (amp1) to [out=45,in=180] (1,0.8) node[label=$H^\dagger $] {};
\draw[thick,dotted] (amp1) to [out=-45,in=180] (1,-0.8) node[label=$H$] {};
\draw[thick,dotted] (amp2) to [out=135,in=0] (2,0.8) node[label=$H$] {};
\draw[thick,dotted] (amp2) to [out=-135,in=0] (2,-0.8) node[label=$H^\dagger$] {};
\draw[thick,photon] (amp1) to [out=-135,in=45] (-1,-1) node[label=$B^+$] {};
\draw[thick,photon] (amp1) to [out=135,in=-45] (-1,1) node[label=$B^+$] {};
\draw[thick,dotted] (amp2) to [out=45,in=-135] (4,1) node[label=$H^\dagger$] {};
\draw[thick,dotted] (amp2) to [out=-45,in=135] (4,-1) node[label=$H$] {};
\draw[dashed] (1.5,-1) -- (1.5,1);
\end{tikzpicture}

\begin{tikzpicture}
\node[draw,circle,fill=gray,inner sep=8pt] (amp1) at (0,0) {$A_L$};
\node[draw,circle,fill=gray,inner sep=8pt] (amp2) at (3,0) {$A_R$};

\draw[thick,dotted] (amp1) to [out=-45,in=180] (1,-0.8) node[label=$H$] {};
\draw[thick,dotted] (amp1) to [out=135,in=-45] (-1,1) node[label=$H^\dagger$] {};
\draw[thick,photon] (amp2) to [out=135,in=0] (2,0.8) node[label=$B^-$] {};
\draw[thick,dotted] (amp2) to [out=-135,in=0] (2,-0.8) node[label=$H^\dagger$] {};
\draw[thick,photon] (amp1) to [out=-135,in=45] (-1,-1) node[label=$B^+$] {};
\draw[thick,photon] (amp1) to [out=45,in=180] (1,0.8) node[label=$B^+$] {};
\draw[thick,dotted] (amp2) to [out=45,in=-135] (4,1) node[label=$H$] {};
\draw[thick,photon] (amp2) to [out=-45,in=135] (4,-1) node[label=$B^+$] {};
\draw[dashed] (1.5,-1) -- (1.5,1);
  \begin{scope}[xshift=6cm]
  \node[draw,circle,fill=gray,inner sep=8pt] (amp1) at (0,0) {$A_L$};
  \node[draw,circle,fill=gray,inner sep=8pt] (amp2) at (3,0) {$A_R$};

\draw[thick,dotted] (amp1) to [out=-45,in=180] (1,-0.8) node[label=$H^\dagger$] {};
\draw[thick,dotted] (amp1) to [out=135,in=-45] (-1,1) node[label=$H$] {};
\draw[thick,photon] (amp2) to [out=135,in=0] (2,0.8) node[label=$B^-$] {};
\draw[thick,dotted] (amp2) to [out=-135,in=0] (2,-0.8) node[label=$H$] {};
\draw[thick,photon] (amp1) to [out=-135,in=45] (-1,-1) node[label=$B^+$] {};
\draw[thick,photon] (amp1) to [out=45,in=180] (1,0.8) node[label=$B^+$] {};
\draw[thick,dotted] (amp2) to [out=45,in=-135] (4,1) node[label=$H^\dagger$] {};
\draw[thick,photon] (amp2) to [out=-45,in=135] (4,-1) node[label=$B^+$] {};
\draw[dashed] (1.5,-1) -- (1.5,1);
    \end{scope}
\end{tikzpicture}
\caption{Unitary cuts in calculating the running of $O_{HB}$. The upper plot is the $s$ channel cut and the lower two plots are $t$ channel cuts.} \label{fig:OHBcut}
\end{figure}

We first focus on a simplest case: the contributions proportional to $U(1)_Y$ gauge interactions to the running of the dimension 6 operator $\mathcal{O}_{HB}=H^\dagger H B^{\mu \nu}B_{\mu \nu}$.  In the amplitude basis, this operator corresponds to the local amplitude
\begin{eqnarray}
\mathcal{A}(B^+,B^+,H^\alpha,H^{\dagger \dot \beta})=2C_{HB}\delta^{\alpha \dot \beta}[12]^2.
\label{B+B+}
\end{eqnarray}
Here the superscript "$+$" denotes the positive helicity.

The Higgs $U(1)_Y$ gauge  interactions and quartic term can be expressed as
\begin{eqnarray}
\mathcal{L} &=& -\frac{1}{4}B_{\mu \nu} B^{\mu \nu} +|D_\mu H|^2 -\frac{1}{4}\lambda |H|^4.
\label{U1L}
\end{eqnarray}
where $D_\mu =\partial_\mu -ig_1 y_h B_\mu$.

Now let's consider the amplitude   $\mathcal{A}(B^+,B^+,H^{\dagger \dot \alpha},H^\alpha)$ at one-loop. As shown in Fig.~\ref{fig:OHBcut}, applying different double cuts, this amplitude are separated into dimension 6 part and dimension 4 part. The dimension 6 part can be read from Eq.~\ref{B+B+} and the dimension 4 part can be derived from Eq.~\ref{U1L},
\begin{eqnarray}
\mathcal{A}^4(H^\alpha H^{\dagger \dot \alpha} B^{+} B^-) &=&  -2y_h^2g_1^2 \delta^{\alpha \dot \alpha} \frac{\vev{14} \vev{24}}{\vev{13} \vev{23}}, \\\label{HHBB}
\mathcal{A}^4(H^\alpha H^{\dagger \dot \alpha} H^\beta  H^{\dagger \dot \beta}) &=&(\delta^{\alpha \dot \alpha} \delta^{\beta \dot \beta} +\delta^{\alpha \dot \beta} \delta^{\beta \dot \alpha} )(  -\frac{\lambda}{2} +y_h^2g_1^2)+2y_h^2g_1^2\Big[\delta^{\alpha \dot \alpha} \delta^{\beta \dot \beta} \frac{\vev{24}[24] }{\vev{12}[12]}+\delta^{\alpha \dot \beta} \delta^{\beta \dot \alpha} \frac{\vev{24}[24] }{\vev{14}[14]}  \Big].\nonumber\\\label{HHHH}
\end{eqnarray}

First consider the $s$-channel cut (the upper plot in Fig.~\ref{fig:OHBcut}). With the tree level amplitudes Eq.~\ref{B+B+} and Eq.~\ref{HHHH} it can be expressed as
\begin{eqnarray}
&&\text{Cut}_{12}[\mathcal{A}(B^+ (p_1)B^+(p_2) H^{\dagger \dot \alpha}(p_3) H^\alpha)(p_4)]\nonumber\\
&=&\int d \text{LIPS} \mathcal{A}_L(B^+(p_1)B^+(p_2) H^{\beta}(l_1) H^{\dagger \dot \beta} (l_2))\delta^{\beta \dot \sigma} \delta^{\sigma \dot \beta}  \mathcal{A}_R(H^{\dagger \dot\sigma} (-l_1)H^\sigma (-l_2) H^{\dagger \dot \alpha} (p_3)H^\alpha(p_4) ) \nonumber\\
&=&\int d \text{LIPS} C_{HB} \delta^{\sigma \dot \sigma  } [12]^2\Big[(\delta^{\sigma \dot \sigma} \delta^{\alpha \dot \alpha} +\delta^{\sigma \dot \alpha} \delta^{\alpha \dot \sigma} )(  -\frac{\lambda}{2} +y_h^2g_1^2) \nonumber\\
&&+2y_h^2g_1^2\Big(\delta^{\sigma \dot \sigma} \delta^{\alpha \dot \alpha} \frac{\vev{-l_2 3}[-l_2 3] }{\vev{-l_1-l_2}[-l_1-l_2]}+\delta^{\sigma \dot \alpha} \delta^{\alpha \dot \sigma}  \frac{\vev{-l_2 3}[-l_2 3] }{\vev{-l_1 3}[-l_1 3]}  \Big)\Big],
\end{eqnarray}
where $l_{1,2}$ is the momentum of the cutted internal Higgs leg.
We then use the relations  $|-l\rangle=i| l\rangle,|-l]=i| l]$~\footnote{For  internal fermion leg, the complex factor $i$ can be removed because the fermion statistic cancels the minus sign from momentum flipping.}  and $l_1+l_2=p_3+p_4$ to express it as function of $l_1$. Following  the procedure presented in the previous section, we should parametrize the loop momentum as
\begin{eqnarray} \label{eq:para_12}
|l_1\rangle =\sqrt{t}( \ket{3} +z \ket{4}) \quad |l_1] =\sqrt{t}( |3] +\bar z |4]),
\end{eqnarray}
and then the bubble coefficient can be extracted through Stokes' Theorem,
\begin{eqnarray}
\Delta_{12} &=&[12]^2\delta^{\alpha \dot \alpha}\oint dz \int d \bar z t^2\Big( (-\frac{3}{2}\lambda+3y_h^2g_1^2)+2y_h^2g_1^2(-2t^3+\frac{1}{z \bar z}t^2)  \Big)|_{t =(1+z \bar z)^{-1} }\nonumber\\
&=& [12]^2\delta^{\alpha \dot \alpha}\oint dz \Big( (-\frac{3}{2}\lambda+3y_h^2g_1^2)\frac{-1}{z(1+z \bar z)}+2y_h^2g_1^2(\frac{1}{z (1+z \bar z)^2}+\frac{1}{z(1+z \bar z)}+\frac{\log(-z \bar z)-\log(1+z \bar z)}{z})  \Big)\nonumber\\
&=&2\pi i [12]^2\delta^{\alpha \dot \alpha} (\frac{3}{2}\lambda+y_h^2g_1^2).
\end{eqnarray}
In the last step we discard the log terms, take the residue at $z=0$ and set $\bar z=z$. Finally we can get the bubble coefficient from s-channel double cut
\begin{eqnarray}
C_2^{12} =-(y_h^2g_1^2 +\frac{3\lambda}{2} )C_{HB} \delta^{\alpha \dot \alpha}[12]^2.
\end{eqnarray}

Following the same procedure, The contribution from t-channel cut is given by
\begin{eqnarray} \label{eq:cut}
&&\text{Cut}_{13}[\mathcal{A}(B^+(p_1) B^+(p_2) H^{\dagger \dot \alpha}(p_3) H^\alpha)(p_4)]\nonumber\\ &=& \mathcal{A}_L(B^+(p_1)H^{\dagger \dot \alpha}(p_3)B^+(l_1)H^\beta (l_2))\delta^{\beta \dot \beta} \mathcal{A}_R(B^-(-l_1)H^{\dagger \dot \beta}(-l_2)B^+(p_2) H^\alpha(p_3) ) \nonumber\\
&+& \mathcal{A}_L(B^+(p_2)H^\alpha(p_4) B^+(-l_1) H^{\dagger \dot \beta}(-l_2))\delta^{\beta \dot \beta} \mathcal{A}_R(B^-(-l_1)H^{ \beta}(-l_2)B^+(p_1) H^{\dagger \dot \alpha}(p_3) ) \nonumber\\
&=& -2y_h^2g_1^2 C_{HB} \delta^{\alpha \dot \alpha} [1l_1]^2\frac{\vev{4 -l_1} \vev{-l_2-l_1}}{\vev{42} \vev{-\ell_2 2}} +(1 \leftrightarrow 2,3 \leftrightarrow 4).
\end{eqnarray}
 Using Stokes' Theorem again after proper parametrization, we can get the bubble coefficient for t-channel cut,
\begin{eqnarray}
C_2^{13} =-2y_h^2g_1^2 C_{HB} \delta^{\alpha \dot \alpha} [12]^2.
\end{eqnarray}
The u-channel cut is the same as t-channel cut under $p_1 \leftrightarrow p_2$ and we get
\begin{eqnarray}
C_2^{13} =C_2^{14}.
\end{eqnarray}
So the total contribution from massive bubble integral is
\begin{eqnarray}
C_2 = C_2^{13} +C_2^{14}  +C_2^{12}  = -(5y_h^2g_1^2 +\frac{3\lambda}{2} )C_{HB} \delta^{\alpha \dot \alpha}[12]^2.
\end{eqnarray}

The parts of UV divergences cancelled by IR divergences can be read from Eq.~\ref{eq:collinear} according to the external legs:
\begin{eqnarray}
C_{IR} =- (2\gamma(B) +2 \gamma(H))  \delta^{a \dot a}C_{HB}[12]^2.
\end{eqnarray}
So we can find the total UV divergences of operator $\mathcal{O}_{HB}$ from $U(1)_Y$ gauge interactions at one-loop level as
\begin{eqnarray}
C_{UV} &=& C_2 -C_{IR} =- \Big[y_h^2g_1^2 \big(5-2\gamma(H) -2\gamma(B) \big) +\frac{3\lambda}{2} \Big]\frac{1}{(4\pi)^2} \delta^{a \dot a} C_{HB}[12]^2  \nonumber \\
 &=& - \Big[\frac{5}{3}y_h^2g_1^2 +\frac{3\lambda}{2} \Big]\frac{1}{(4\pi)^2} \delta^{a \dot a} C_{HB}[12]^2.
\end{eqnarray}
 So the running of $C_{HB} $ is
\begin{eqnarray}
\dot{C}_{HB}  = 2\Big[\frac{5}{3}y_h^2g_1^2 +\frac{3\lambda}{2} \Big] C_{HB},
\end{eqnarray}
where $\dot{C}_{HB}\equiv (4\pi)^2 \mu \frac{d C_{HB}}{d \mu}$. This expression is exactly the same as the results in~\cite{Alonso:2013hga,Jenkins:2013zja}.

\subsection{$F^3$ type operators}
For the $F^3$ type operators, with $F$ denoting the field strength of non-Abelien gauge fields, the leading amplitude is three-point scattering amplitude, which does not depend on any UV scale if the three external legs are on-shell. So its UV divergences can not be extracted through unitarity cut. However we can calculate its next leading $4$-points amplitude to derive its RG running.
The color-ordered leading amplitude of dimension 6 operator $\mathcal{O}_{G^3} =C_{G^3} \text{Tr}[G^3_{\mu \nu}]$ can be expressed as
\begin{eqnarray}
\mathcal{A}(g^+_1 g^+_2 g^+_3)=C_{G^3} [12][23][31].
\end{eqnarray}
It contributes to the 4-point all plus tree-level amplitude, which can be constructed through all-line shift~\cite{Cohen:2010mi},
\begin{eqnarray}
\mathcal{A}^{\text{tree}}(g^+_1g^+_2g^+_3g^+_4)= 2  g_3 C_{G^3} \frac{[12][13][42]}{\vev{34}}.
\end{eqnarray}
According to unitary cut, it is easy to find that the loops with quark internal legs does not contain UV divergences, because the the helicity selection rules forbid the tree level amplitude for two quarks and two $g^+$ at dimension 4. So only $\mathcal{O}_{G^3}$ insertion contribute to itself  RG running.
Following the same procedures as above, we can get the coefficients of the bubble integral,
\begin{eqnarray}
C_{2} = -6g^2_3 N_c \mathcal{A}^{\text{tree}}(g^+_1g^+_2g^+_3g^+_4).
\end{eqnarray}
After including the massless bubble contributions which can be directly read from Eq.~\ref{eq:collinear}, the total divergences in the one-loop amplitude is
\begin{eqnarray}
C_{UV} =\frac{(-6g_3^2 N_c + 4 g_3^2 \gamma(g))}{(4\pi)^2}\mathcal{A}^{\text{tree}}(g^+_1g^+_2g^+_3g^+_4).
\end{eqnarray}

These divergences of this four-point amplitude contain both the gauge coupling $g_s$ and $C_{G^3}$ renormalization and with requirement that the amplitude independent on the renormalizable scale  we can get the following RG equation
\begin{eqnarray} \label{eq:RG_EQ}
(4\pi)^2 \beta_{g_3} C_{G^3} + g_3 \dot{C}_{G^3} =4g_3^3(3 N_c - 2 \gamma(g)) C_{G^3},
\end{eqnarray}
where $\beta_{g_3}$ is the beta function of gauge coupling $g_3$. We can also derive $\beta_{g_3}$ through on-shell method,
\begin{eqnarray}
\beta_{g_3} =-\frac{2g^3_3}{(4\pi)^2} \gamma(g).
\end{eqnarray}
Substituting the expression of $\beta_{g_3}$ into the Eq.~\ref{eq:RG_EQ}, we can get the RG running of $C_{G^3}$
\begin{eqnarray}
\dot{C}_{G^3}= \big[12 N_c -6\gamma(g)\big]g^2_3C_{G^3}.
\end{eqnarray}
With these examples we can find that on-shell method is very efficient to calculate SMEFT RG running. We do not need to do loop calculation. All the divergences can be extracted from the tree level amplitudes.
We also present  more complicated calculations for the operator $\mathcal{O}_{eW}$  in App.~\ref{app:Oew}.

\section{Anomalous dimensions at dimension 8: the $V^+V^-H^2$ example}
\label{sec:dim8}
The method introduced above can be applied to efficiently obtain the RG running of higher dimension operators. In this section we consider the running at dimension 8. In particular we present the contribution from the $H^4$ type local amplitudes to the RG running of the coefficients of the $V^+V^-H^2$ type amplitude.

The $V^+V^-H^2$ amplitude at dimension 8 is important in phenomenology because it gives leading BSM correction to the $VVHH$ scattering in the SMEFT, due to the non-interference at dimension 6~\cite{Azatov:2016sqh}. Also this amplitude basis is only generated at one-loop order when we integrate out some heavy particles in a weakly coupled UV theory~\cite{Jiang:2020sdh,Craig:2019wmo,Arzt:1993gz, Giudice:2007fh,Einhorn:2013kja}, which makes the contribution from the mixing with a potentially tree level generated local amplitude (operator) important. So in this section we calculate the RG running of this coupling from the mixing with $H^4$ amplitude basis at dimension 8. Notice that if we ignore the fermions, this is the only leading contribution. All others, including the contributions from the loops containing two dimension 6 amplitude basis, are more than one-loop suppressed if we take into account the tree/loop classification of the local amplitude.

There are three independent $H^4$ type local amplitudes at dimension 8. It is convenient to write them in the following form:
\begin{eqnarray}
\mathcal{A}(H^\alpha  H^\beta  H^{\dagger \dot \alpha} H^{\dagger \dot \beta})_{\text{dim8}} &\supset&  T^+_{ \alpha\beta\dot\alpha\dot\beta} C_{0,2}^{H^4+} (s_{13} -s_{23})^{2}, \; \; T^+_{\alpha\beta\dot\alpha\dot\beta} C_{2,0}^{H^4+}s_{12}^2, \; \; T^-_{\alpha\beta\dot\alpha\dot\beta} C_{1,1}^{H^4-} s_{12} (s_{13} -s_{23}), \nonumber\\
\label{h4}
\end{eqnarray}
where $T^\pm _{\alpha\beta\dot\alpha\dot\beta} \equiv \delta_{\alpha \dot\alpha} \delta_{\beta \dot\beta}  \pm \delta_{\beta \dot\alpha} \delta_{\alpha \dot\beta} $.

The dimension 8 $V^+V^-H^2$ type amplitudes can be written as:
\begin{eqnarray} \label{eq:HV8}
\mathcal{A}(B^+ B^- H^\alpha H^{\dagger \dot \beta} )_{\text{dim8}} &=&C_{H^2B^+B^-}\delta_{\alpha\dot \beta}[1|3|2\rangle^2,\nonumber \\
\mathcal{A}( W^{a+} W^{b-} H^\alpha H^{\dagger \dot \beta})_{\text{dim8}} &\supset& C_{H^2W^+W^-}^+T^{ab+}_{\alpha \dot \beta}[1|3|2\rangle^2,\; \; C_{H^2W^+W^-}^-T^{ab-}_{\alpha \dot \beta}[1|3|2\rangle^2,\nonumber \\
\mathcal{A}(W^{a+} B^- H^\alpha H^{\dagger \dot \beta} )_{\text{dim8}} &=&C_{H^2W^+B^-}\tau^a_{\dot \beta \alpha}[1|3|2\rangle^2,\nonumber \\
\mathcal{A}(B^{+} W^{a-} H^\alpha H^{\dagger \dot \beta} )_{\text{dim8}} &=&C_{H^2B^+W^-}\tau^a_{\dot \beta \alpha}[1|3|2\rangle^2,
\end{eqnarray}
where $\tau^a_{\alpha \dot \beta}$ is Pauli matrix, $T^{ab+}_{\alpha \dot \beta} =\delta^{ab}\delta_{\alpha \dot \beta}$ and $T^{ab-}_{\alpha \dot \beta} =i \epsilon^{abc} \tau^c_{\alpha \dot \beta}$.

The loop contributions to the running can be obtained by gluing the $H^4$ amplitude basis in Eq.~\ref{h4} with the $V^+V^-H^2$ amplitudes in SM, which are
\begin{eqnarray}
\mathcal{A}^{\text{SM}}(H^\beta,H^{\dagger \dot \alpha},B^+,W^{i-})&=&-g_1g_2y_h(\tau^i)^{\dot \alpha} _\beta \frac{\vev{14} \vev{24}}{\vev{13} \vev{23}},\\
\mathcal{A}^{\text{SM}}(H^\beta,H^{\dagger \dot \alpha},W^+,B^{i-})&=&-g_1g_2y_h(\tau^i)^{\dot \alpha} _\beta \frac{\vev{14} \vev{24}}{\vev{13} \vev{23}},\\
\mathcal{A}^{\text{SM}}(H^{\beta},H^{\dagger \dot \alpha}, W^{a+},W^{b-})&=&-2g_2^2\frac{\l4|1|3]^2}{\l34\rangle[34]}\big(\frac{(t^b t^a)^{\dot \alpha}_\beta}{\l24\rangle[24]}+\frac{(t^a t^b)^{\dot \alpha}_\beta}{\l23\rangle[23]}\big),
\end{eqnarray}
in addition to the $B^+B^-H^\dagger H$ amplitude in Eq.~\ref{HHBB}. Here $t^a=\tau^a/2$ are the $SU(2)$ generators.

Applying the unitary method, we obtain the RG running of $V^+ V^- H^2$ type operators as following:
\begin{eqnarray}
\dot C_{H^2B^+B^-}&=&-2g_1^2 y_h^2 (C_{0,2}^{H^4+}+C_{2,0}^{H^4+}+\frac{1}{3}C_{1,1}^{H^4-}),\nonumber \\
\dot C_{H^2B^+W^-}&=&-\frac{1}{3}g_1g_2 y_h (C_{0,2}^{H^4+}+C_{2,0}^{H^4+}-C_{1,1}^{H^4-}),\nonumber \\
\dot C_{H^2W^+B^-}&=&-\frac{1}{3}g_1g_2 y_h (C_{0,2}^{H^4+}+C_{2,0}^{H^4+}-C_{1,1}^{H^4-}),\nonumber \\
\dot C_{H^2W^+W^-}^+&=&-\frac{1}{2}g_2^2 (C_{0,2}^{H^4+}+C_{2,0}^{H^4+}+\frac{1}{3}C_{1,1}^{H^4-}),\nonumber \\
\dot C_{H^2W^+W^-}^-&=&0.
\end{eqnarray}
The dependence of these equations on the specific combinations $(C_{0,2}^{H^4+}+C_{2,0}^{H^4+}+\frac{1}{3}C_{1,1}^{H^4-})$ and $(C_{0,2}^{H^4+}+C_{2,0}^{H^4+}+\frac{1}{3}C_{1,1}^{H^4-})$ are expected by demanding the right angular momentum and $SU(2)_L$ quantum number\cite{Jiang:2020sdh}. The zero in the last equation can be understood from the fact that the there is $SO(4)$ custodial symmetry in both  $H^4$ operators and $\mathcal{A}^{SM}(H^{\beta}H^{\dagger \dot\alpha} W^{a+}W^{b-})$, while dimension $8$ amplitude basis  $\mathcal{A}( W^{a+} W^{b-} H^\alpha H^{\dagger \dot \beta})_{\text{dim8}}=C_{H^2W^+W^-}^-T^{ab-}_{\alpha \dot \beta}[1|3|2\rangle^2$ violate this symmetry. So custodial symmetry can provide some new selection rules, which can not be explained by existing selection rules, based on on-shell method.

\section{Universal results for anomalous dimensions}
\label{sec:universal}
From above examples, we find that the anomalous dimension matrix is strongly dependent on the external legs of amplitude basis. With on-shell method, the structure of anomalous dimension matrix can be clearly seen and some universal results for the RG running of the amplitude basis can be obtained. For example, notice that the bubble coefficients of  any four point amplitudes are determined by the product of two four point tree level amplitudes. And since the four point amplitude basis of any dimension can be expressed in a uniform way: the product of spinor contractions and polynomials of Mandestam variables $s$ and $t$, the RG running of this kind of basis should also be able to expressed in the uniform form. Since in this work we focus on how to use on-shell method to derive the RG running in SMEFT, we just give a simple example to confirm this claim. More universal results will be presented in the future work. We will show the RG running for $H^2 B^+ B^- D^{2n}$ type amplitude basis at any dimensions generated from the general $H^4 D^{2n+4}$ type amplitude basis.  These basis can be expressed uniformly as
\begin{eqnarray}
\mathcal{A}(H^\alpha  H^\beta  H^{\dagger \dot \alpha} H^{\dagger \dot \beta}) &\supset&  T^+ _{\alpha\beta\dot\alpha\dot\beta} C_{m,2n}^{H^4+} s_{12}^m (s_{13} -s_{23})^{2n}, \; \; T^- _{\alpha\beta\dot\alpha\dot\beta} C_{m,2n+1}^{H^4-} s_{12}^m (s_{13} -s_{23})^{2n+1}, \nonumber \\
\mathcal{A}( B^{+} B^{-}H^\alpha H^{\dagger \dot \beta}) &=&C_{m,n}^{H^2B^+B^-}[1|p_3 \ket{2}^2 s_{12}^m (s_{13} -s_{23})^{n}.
\end{eqnarray}

Applying the on-shell method as above, we can obtain the universal RG running for $C_{m,n}^{H^2B^+B^-}$, compactly collected as,
\begin{eqnarray}
\dot C_{m,n}^{H^2B^+B^-}&=&-4y_h^2 \Big(\sum^{i,j}_{i+2j=m+n+2}3C_{i,2j}^{H^4+}F(m,n,i,2j)+\sum^{i',j'}_{i'+2j'=m+n+1}C_{i',2j'+1}^{H^4-}F(m,n,i',2j'+1)\Big),\nonumber\\
F(m,n,i,k)&=&\sum^{g,f,h,l,d}_{2g+f+h=n}
(\frac{1}{4})^{l-1}(-1)^gC_{i}^{2l-d}C_{2j}^{d}C_{l-1}^{g}C_{i-2l+d}^{h}C_{2l}^{l+1}C_{2j-d}^{l}\nonumber \\
&\times&\int_0^1 (1-\frac{1}{2t})^h(-\frac{1}{2t})^{m-2l+d-h}(-\frac{1}{2}+\frac{t}{2}+\frac{1}{2t})^f(\frac{3}{2}+\frac{t}{3}-\frac{1}{2t})^{2j-d-f}(\frac{1}{t}-1)^lt^{d+i} dt.
\end{eqnarray}
So the anomalous dimensions for $H^2 B^+ B^-D^{2n}$ basis at any dimension can be readily read from this universal expression. For example, the amplitude basis at dimension 8, or $(m=0,n=0)$, can get three contributions in above sum,
\begin{eqnarray}
(i=0,j=1,d=2,l=1,g=h=f=0);\nonumber \\
(i=2,j=0,d=0,l=1,g=h=f=0);\nonumber \\
(i'=1,j'=0,d=1,l=1,g=h=f=0).
\end{eqnarray}
 With a simple integral $\int _0^1(\frac{1}{t}-1)t^2=\frac{1}{6}$,
we can obtain its RG running,
\begin{eqnarray}
\dot C_{00}^{H^2B^+B^-}&=&-2g_1^2 y_h^2 (C_{0,2}^{H^4+}+C_{2,0}^{H^4+}+\frac{1}{3}C_{1,1}^{H^4-}),
\end{eqnarray}
which recovers the result we obtained in previous section.

\section{Conclusion}
\label{sec:conclusion}
The on-shell amplitude methods have remarkable advantages in studying SMEFT. The non-renormalizable interactions can be described by unfactorizable amplitude basis without worrying about redundancies. Comparing with Feynman diagrams calculations, the loop-level amplitudes can be constructed by unitary cut very efficiently, because there are no unphysical degrees of freedom in on-shell amplitudes. Especially, since the UV divergences of one-loop amplitudes are only from scalar bubble integrals and the bubble coefficients are related to the tree-level amplitudes, the on-shell method is very convenient to obtain the renormalization group running of higher dimension operators (amplitude basis).

In this work we demonstrate in detail how to extract the full UV divergences of the loop amplitudes. The coefficients of massive bubble integrals can be extracted by Stokes' Theorem analytically. However, the UV divergences from massless bubble integrals are canceled by collinear IR divergences so they can not be obtained by unitary cut. However, they can be extracted from the collinear divergences of tree-level amplitudes. Since they are universal in SMEFT, we calculate the collinear divergence factors for all the standard model fields and list them in Eq.~\ref{eq:collinear}. So the UV divergences from the massless bubbles can be directly read from the list.

We present some examples to show how to derive the anomalous dimension matrix correctly. Some selection rules can be easily observed based on this method, like the ones from angular momentum conservation or global symmetries observed in our calculations for some dimension 8 operators. This method makes the structure of anomalous dimension matrix transparent, so the running of the general 4-point amplitude basis can be expressed in a universal form. We present the universal expressions for the anomalous dimension matrix of the general amplitude basis $H^2 B^+ B^- D^{2n}$ generated from the contributions of general $H^4 D^{2n+4}$ type amplitude basis at one-loop level.

\section*{Note added}
While this paper was being finalized, Ref.~\cite{EliasMiro:2020tdv,Baratella:2020lzz} appeared, which presents a similar topic. \cite{EliasMiro:2020tdv} uses both form factors and on-shell amplitudes in their calculations and gives the anomalous dimensions at two loops. \cite{Baratella:2020lzz} uses the on-shell unitary cut similar to us but considers only the mixing between different operators, for which there are no IR contributions. In this paper, we take a pure on-shell method and demonstrate the complete procedure in deriving the anomalous dimension at one loop,  obtaining the bubble coefficients  and subtracting the collinear divergences. We also give new results in dimension 8 as well as universal expressions in general dimensions.

\acknowledgments
We thank Rui Yu, Qingjun Jin and Gang Yang for useful discussions. J.S. is supported by the National Natural Science Foundation of China (NSFC) under grant No.11947302, No.11690022, No.11851302, No.11675243 and No.11761141011 and also supported by the Strategic Priority Research Program of the Chinese Academy of Sciences under grant No.XDB21010200 and No.XDB23000000. T.M. are supported by the United States-Israel Binational Science Foundation~(BSF) (NSF-BSF program Grant No. 2018683) and the Azrieli foundation.

redpajama_set_name: RedPajamaArXiv


text:
Q: Angular 2 - Redirct a user to homepage if they try to access a logged in page. (I need it not to hit the components constructor) Angular 2 - Redirct a user to homepage if they try to access a logged in page. (I need it not to hit the components constructor)
I'm using typescript and angular2.
Currently only works if I have no calls to services in a components constructor.
Currently I'm using doing this (But it keeps hitting the internal components constructor still and causing errors):
import {Directive, Attribute, ElementRef, DynamicComponentLoader} from 'angular2/core';
import {Router, RouterOutlet, ComponentInstruction} from 'angular2/router';

@Directive({
  selector: 'router-outlet'
})
export class LoggedInRouterOutlet extends RouterOutlet {
  publicRoutes: any;
  private parentRouter: Router;

  constructor(_elementRef: ElementRef, _loader: DynamicComponentLoader, _parentRouter: Router, @Attribute('name') nameAttr: string) {
    super(_elementRef, _loader, _parentRouter, nameAttr);
    this.parentRouter = _parentRouter;
    this.publicRoutes = {
      '/Home': true
    };
  }

  activate(instruction: ComponentInstruction) {
      console.log("here");
      this.parentRouter.navigate(['/Home']);
      return super.activate(instruction);
  }
}

It currently only works if an internal page doesn't have anything in its constructor.

A: What you need is @CanActivate directive in front of protected component.
https://angular.io/docs/ts/latest/api/router/CanActivate-decorator.html
@CanActivate(() => checkAuth())
export class ProtectedCMP {}

Consider this Plunker (protected.component.ts )
https://plnkr.co/edit/sGzQIFsLJaFHsjGT1MpP?p=preview


URLs are the base of the Web, being the combination between origin and path. URLs are still shown at the top of the browser's page as part of the UI design. It is still done that way because of three reasons all for the users: so they can see who is talking to them, so they can know where they are in a website and can surf by modifying the URL and so they can share the link.
When the user want to find you for the first time on the internet, most likely he or she will use a search engine, because they won't probably know the origin. Unconsciously, they expect that the top result to be what they are really looking for. If they can't consider the top result is the right one, then most likely you already lost the battle of security.
It is very important for your customers to know who is talking to them on the Web and you can really use the search engines in your favour.
When they revisit your website, they usually start to write the name in the bar and wait for it to be autocomplete or to come back to the search engine. If they end up on a website using a link, they look at the URL and try to remember if they saw it before and if it was the same as the last time they have been here from a search engine. This path is somehow secure, but not all your visitors pay attention to this detail.
Know your users. Nowadays, most of them come from mobile devices. Not all of them are that accustomed with what is really going on the internet. They are used to logos and apps and now they are being shown a box containing https:// and www.
There are billion of people who are going online for the first time and it is happening via mobile. Few know how to manually change the URLs, so we recommend you to better optimize for the majority which in some cases is 99%. Let the other 1% "hackers" try harder.
Give them the SLICE (Linkability, Indexability, Composability and Ephemerality). These principles are the foundation of sharing. It is very important for your customers to share what they see on your website.
Going back to reason number one – assuming it is better offered by submitting they know your brand and knowing about reason number two is not quite in the preferences of the pixels users have on mobile, then we should ask ourselves if it is better for your business to have a new button in the website so users can share the link or at list copy it.
As a conclusion, you need to know that your users need a way to share what they see and this may be difficult for those who go online for the first time on mobile. Keep in mind that search engines help if you build your URLs having UI in mind.
Why Should You Use Woocommerce for Your Business?


Worth isn't always obvious to the seller, but the client knows value when they see it. Especially when they feel value in the product that they are thinking about purchasing. Value isn't always what you think it is either.
One of the challenges we face is figuring out what is valuable to our clients and prospects and what isn't. So how do we understand value in a way that enables us to make more, higher value sales?
This is an issue I have with the "Always Be Closing" school of thought. It assumes that you have some higher level of knowledge about what your prospect needs.
That's wrong. You have no idea, but you can find out. How? You can ask.
Ask your prospects what they hope to gain by going to a game: this might open up a conversation about wanting to impress their child, or entertain a client, or create a promotion for their business. Who knows? But the key is that you do not define value, your client does. So let them tell you what value means to them.
Ask yourself a quick question: When was the last time you changed your mind? I'm sure it was in the last 20 minutes or so.
What does this mean in terms of value? It means that what someone finds value in will change over time and likely many times. So you need to always be aware that value is fluid and will change over and over again. So be aware.
This is may be the key to your long-term sales success, understanding that value evolves and increases (and to be fair, can decrease) based on the investment in your relationships.
So what can you do to increase the value of your relationships so that you are nurturing them? You have to always be delivering value. There are many ways for you to deliver value that strengthens a relationship with a client.
The thing about value is that it grows or shrinks depending on the strength of your connection with your audience. And in sports, we all too often look at our relationships as transactional items, but the course of value runs deeply through our relationships.


text:
class Room : public sf::Drawable {
public:
	Room(int x, int y);
	~Room();

	static int getIndex(int i, int j);
	static std::pair<int, int> getPos(int index);

	// next(x, y)
	// @return -- index of adjacent room
	int next(int x, int y) const;

  void update(float dt);

	void load(const std::string& filename);
	void save() const;

public:
	const int x, y;
	const int index;

	static const int kRoomsX = 2;
	static const int kRoomsY = 2;
	static const int kRooms = kRoomsX * kRoomsY;

	// TODO Think of a way to represent depth/order of drawing
	std::vector<sf::Drawable*> drawables;

	std::vector< sf::Rect<float> > blocks;
  std::vector<Water> waters;

private:
	Room() : x(-1), y(-1), index(-1) { } // A room must have a location

  void addBlock(float left, float top, float width, float height,
								const sf::Color& color=sf::Color::Black);
	void buildBounds();
	void draw(sf::RenderTarget& target, sf::RenderStates states) const;
};

#endif


If you have a teenager that is very interested in poetry, you might have to deal with a lot of sub-par rhyming. This can be frustrating for you if your child wants to share a lot of his or her poems with you. However, you can help improve your child's rhyming in a variety of ways. This will help your child be a lot more successful with writing poetry and increase the chances that he or she will continue to write poetry in the future. Here are some tips for helping your child improve his or her rhymes.
When you are driving your child to soccer practice or taking him or her to school, encourage your child to think of rhymes for everyday objects that you point out. Make a game of it. Choose a word and say something that rhymes with that word. Then, have your child say another word that rhymes. Go back and forth until one of you cannot think of a word that rhymes. Whoever cannot think of a word loses a point. This will turn rhyming into a competition which can help your child be more interested and motivated in the practice.
Also be sure that you are providing your child with a decent amount of samples of good rhyming in poetry. This will help your child get exposed to different rhyming schemes and different examples of rhymes that he or she might never have thought of on his or her own. Encourage your child to find a poet that he or she wants to emulate and have him or her read a lot of that poet. Then, have him or her write poems that are supposed to sound as though the poet wrote them. This will also help your child practice his or her rhyming.
Finally, talk to your child about how slant rhymes are a last resort. Slant rhymes are when a poet uses words that don't quite rhyme but come very close to doing so. Slant rhymes, when overused, can make a poem difficult to read because the tone will be off. Show your child examples of overused slant rhymes. Encourage your child to spend time with rhyming dictionaries on the Internet before he or she resorts to slant rhymes.
For more information, talk to a company that specializes in poetry contests for teenagers.