SciPost Submission Page

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

by Adriano Cherchiglia

Submission summary

As Contributors:	Adriano Cherchiglia
Arxiv Link:	https://arxiv.org/abs/2110.01739v1 (pdf)
Date submitted:	2021-10-06 03:05
Submitted by:	Cherchiglia, Adriano
Submitted to:	SciPost Physics Proceedings
Proceedings issue:	RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology)
Academic field:	Physics
Specialties:	High-Energy Physics - Theory High-Energy Physics - Phenomenology
Approach:	Theoretical

Abstract

At present, the gauge coupling $\beta$-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 $\beta$-function in the Standard Model. We reproduce the same result obtained when applying dimensional regularization.

---