Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.03437 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914202311983104 |
|---|---|
| author | Kovyrshin, Gleb Meshcheriakov, Nikolai Shatalova, Victoria Stepanyantz, Konstantin |
| author_facet | Kovyrshin, Gleb Meshcheriakov, Nikolai Shatalova, Victoria Stepanyantz, Konstantin |
| contents | For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all divergences are logarithmical. These expressions allow relating all coefficients at $\varepsilon$-poles, logarithms, and (if exist) mixed terms to the coefficients of the renormalization group functions in any order of the perturbation theory for MS-like renormalization prescriptions. The result admits such a formulation in that $\varepsilon$-poles and $\lnΛ/μ$ enter on the same footing. For theories with two and three couplings we present explicit expressions for the pole/logarithm structure of renormalization constants in the lowest orders of the perturbation theory. They are verified by comparisons with the two-loop explicit calculation for ${\cal N}=1$ SQCD+SQED and also with the previously known three-loop calculations for the $φ^4$-theory with two couplings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes Kovyrshin, Gleb Meshcheriakov, Nikolai Shatalova, Victoria Stepanyantz, Konstantin High Energy Physics - Theory High Energy Physics - Phenomenology For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all divergences are logarithmical. These expressions allow relating all coefficients at $\varepsilon$-poles, logarithms, and (if exist) mixed terms to the coefficients of the renormalization group functions in any order of the perturbation theory for MS-like renormalization prescriptions. The result admits such a formulation in that $\varepsilon$-poles and $\lnΛ/μ$ enter on the same footing. For theories with two and three couplings we present explicit expressions for the pole/logarithm structure of renormalization constants in the lowest orders of the perturbation theory. They are verified by comparisons with the two-loop explicit calculation for ${\cal N}=1$ SQCD+SQED and also with the previously known three-loop calculations for the $φ^4$-theory with two couplings. |
| title | Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.03437 |