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 |
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SciPost
2022-06-01
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| Series: | SciPost Physics Proceedings |
| Online Access: | https://scipost.org/SciPostPhysProc.7.043 |
| _version_ | 1811332115612041216 |
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| author | Adriano Cherchiglia |
| author_facet | Adriano Cherchiglia |
| author_sort | Adriano Cherchiglia |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T16:32:00Z |
| format | Article |
| id | doaj.art-f3279ce9a75b4510997de5984d2bf790 |
| institution | Directory Open Access Journal |
| issn | 2666-4003 |
| language | English |
| last_indexed | 2024-04-13T16:32:00Z |
| publishDate | 2022-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Proceedings |
| spelling | doaj.art-f3279ce9a75b4510997de5984d2bf7902022-12-22T02:39:33ZengSciPostSciPost Physics Proceedings2666-40032022-06-01704310.21468/SciPostPhysProc.7.043Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model caseAdriano CherchigliaAt 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.https://scipost.org/SciPostPhysProc.7.043 |
| spellingShingle | Adriano Cherchiglia Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case SciPost Physics Proceedings |
| title | Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case |
| title_full | Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case |
| title_fullStr | Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case |
| title_full_unstemmed | Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case |
| title_short | Two-loop gauge coupling $β$-function in a four-dimensional framework: the Standard Model case |
| title_sort | two loop gauge coupling β function in a four dimensional framework the standard model case |
| url | https://scipost.org/SciPostPhysProc.7.043 |
| work_keys_str_mv | AT adrianocherchiglia twoloopgaugecouplingbfunctioninafourdimensionalframeworkthestandardmodelcase |