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Higher-order $\beta$-functions in the Standard Model and beyond

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arxiv 2110.06938 v1 pith:A767USKO submitted 2021-10-13 hep-ph hep-th

classification hep-phhep-th
keywords betafunctionfunctionsloopsmatrixyukawaambiguitiesarising
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this contribution we consider the recent computation of the gauge coupling $\beta$-function at four loops and the Yukawa matrix $\beta$-function at three loops in the most general, renormalizable and four-dimensional quantum field theory. Furthermore, we discuss ambiguities and divergences arising in Yukawa matrix $\beta$-functions.

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Cited by 1 Pith paper

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  1. Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme

    hep-ph 2025-06 conditional novelty 7.0 of 10

    First 4-loop BMHV renormalization of an Abelian chiral gauge theory, with explicit finite symmetry-restoring counterterms and an application to the SM fermionic sector.

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