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

Adriano Cherchiglia

SciPost Phys. Proc. 7, 043 (2022) · published 22 June 2022

Proceedings event

15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology


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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