Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case
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...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-06-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.7.043 |
| Summary: | 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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| ISSN: | 2666-4003 |