content_image/350316.jpg content_image/350317.jpg content_image/350319.jpg content_image/350323.jpg content_image/350324.jpg content_image/350325.jpg content_image/350326.jpg content_image/350328.jpg
<img src='content_image/350316.jpg'>

<img src='content_image/350317.jpg'>

Equations (19)–(29) possess ultraviolet (UV) divergences . Taking into account the mass countert- erm and employing Eq. (17) we find that Δ E SE( B ) SQED has a non-zero UV-divergent part, 

<img src='content_image/350319.jpg'>

By the end of the next subsection we will show that the sum of all the UV-divergent terms is zero. 

## B. ”Modified vertex” diagrams 

For the irreducible parts of the diagrams C and F we have, 

<img src='content_image/350323.jpg'>

<img src='content_image/350324.jpg'>

<img src='content_image/350325.jpg'>

<img src='content_image/350326.jpg'>

Since these diagrams have one vertex inside the self-energy loop, the corresponding expressions have the following structure of the ω -dependent denominators: (Δ$_{1}$ − ω ) − $^{1}$(Δ$_{2}$ − ω ) − $^{1}$. All the reducible terms that have similar structure are denoted as Δ E SE( H ) $_{SQED}$, 

<img src='content_image/350328.jpg'>

