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High Energy Physics - Phenomenology

arXiv:2110.01739 (hep-ph)
[Submitted on 4 Oct 2021]

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

Authors:Adriano Cherchiglia
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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.
Comments: Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2110.01739 [hep-ph]
  (or arXiv:2110.01739v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2110.01739

Submission history

From: Adriano Lana Cherchiglia [view email]
[v1] Mon, 4 Oct 2021 23:05:35 UTC (674 KB)
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