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

Cherchiglia, Adriano

doi:10.21468/SciPostPhysProc.7.043

SciPost Physics Proceedings

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

doi: 10.21468/SciPostPhysProc.7.043
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15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.7.043
TI  - Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case
PY  - 2022/06/22
UR  - https://scipost.org/SciPostPhysProc.7.043
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 7
SP  - 043
A1  - Cherchiglia, Adriano
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysProc.7.043,
	title={{Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case}},
	author={Adriano Cherchiglia},
	journal={SciPost Phys. Proc.},
	pages={043},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.7.043},
	url={https://scipost.org/10.21468/SciPostPhysProc.7.043},
}

Cited by 3

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¹ Adriano Cherchiglia

¹ Universidade Federal do ABC [UFABC]

Funders for the research work leading to this publication

European Cooperation in Science and Technology
Fundação para a Ciência e a Tecnologia (through Organization: Fundação para a Ciência e Tecnologia [FCT])