Read the following document:
Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
Christoph Dlapa, Gregor Kälin, Zhengwen Liu, Jakob Neef, and Rafael A. Porto
Phys. Rev. Lett. 130, 101401 – Published 10 March 2023

[ABSTRACT]
We obtain the total impulse in the scattering of nonspinning binaries in general relativity at fourth post-Minkowskian order, i.e., 
O
(
G
4
)
, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total radiated spacetime momentum as well as the associated energy flux. The latter can be used to compute gravitational-wave observables for generic (un)bound orbits. We employ the (“in-in”) Schwinger-Keldysh worldline effective field theory framework in combination with modern “multiloop” integration techniques from collider physics. The complete results are in agreement with various partial calculations in the post-Minkowskian and post-Newtonian expansion.

Please give the main points along with a quote in the following format:
POINT i:
QUOTE i\_j:
user
point 1: the study derives the total impulse in the scattering of nonspinning binaries in general relativity at fourth post-minkowskian order, including different types of radiation-reaction effects.
quote 1_1: "we obtain the total impulse in the scattering of nonspinning binaries in general relativity at fourth post-minkowskian order, i.e., o(g^4), including linear, nonlinear, and hereditary radiation-reaction effects."

point 2: the authors calculate the total radiated spacetime momentum and the associated energy flux, which can be used to compute gravitational-wave observables for various orbits.
quote 2_1: "we derive the total radiated spacetime momentum as well as the associated energy flux. the latter can be used to compute gravitational-wave observables for generic (un)bound orbits."

point 3: the research employs the schwinger-keldysh worldline effective field theory framework and multiloop integration techniques from collider physics.
quote 3_1: "we employ the (“in-in”) schwinger-keldysh worldline effective field theory framework in combination with modern “multiloop” integration techniques from collider physics."

point 4: the complete results of this study confirm various partial calculations in the post-minkowskian and post-newtonian expansion.
quote 4_1: "the complete results are in agreement with various partial calculations in the post-minkowskian and post-newtonian expansion."
assistant
POINT 1: The study derives the total impulse in the scattering of nonspinning binaries in general relativity at fourth post-Minkowskian order, including different types of radiation-reaction effects.
QUOTE 1_1: "We obtain the total impulse in the scattering of nonspinning binaries in general relativity at fourth post-Minkowskian order, i.e., O(G^4), including linear, nonlinear, and hereditary radiation-reaction effects."

POINT 2: The authors calculate the total radiated spacetime momentum and the associated energy flux, which can be used to compute gravitational-wave observables for various orbits.
QUOTE 2_1: "We derive the total radiated spacetime momentum as well as the associated energy flux. The latter can be used to compute gravitational-wave observables for generic (un)bound orbits."

POINT 3: The research employs the Schwinger-Keldysh worldline effective field theory framework and multiloop integration techniques from collider physics.
QUOTE 3_1: "We employ the (“in-in”) Schwinger-Keldysh worldline effective field theory framework in combination with modern “multiloop” integration techniques from collider physics."

POINT 4: The complete results of this study confirm various partial calculations in the post-Minkowskian and post-Newtonian expansion.
QUOTE 4_1: "The complete results are in agreement with various partial calculations in the post-Minkowskian and post-Newtonian expansion."
assistant