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

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.

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Submission & Refereeing History

Submission 2110.01739v1 on 6 October 2021

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Strengths

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings.

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Report

The article reports on the work presented at RADCOR/LoopFest 2021. It fulfills all the requirements for publication in SciPost Proceedings and therefore we recommend its publication.

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• validity: high
• significance: high
• originality: good
• clarity: high
• formatting: excellent
• grammar: excellent