English

Two-loop gauge coupling $\beta$-function in a four-dimensional framework: the Standard Model case

High Energy Physics - Phenomenology 2021-10-06 v1

Abstract

At present, the gauge coupling β\beta-function in the Standard Model (SM) is known up to four-loop order. As most SM calculations, dimensional regularization was employed. Despite its striking success, other regularization schemes have emerged, which aim to stay in the physical dimension as far as possible. In this contribution, we apply Implicit Regularization, a scheme defined in momentum space that complies with BPHZ, to obtain the two-loop gauge coupling β\beta-function in the Standard Model. We reproduce the same result obtained when applying dimensional regularization.

Keywords

Cite

@article{arxiv.2110.01739,
  title  = {Two-loop gauge coupling $\beta$-function in a four-dimensional framework: the Standard Model case},
  author = {Adriano Cherchiglia},
  journal= {arXiv preprint arXiv:2110.01739},
  year   = {2021}
}

Comments

Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)