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Higher-order $\beta$-functions in the Standard Model and beyond
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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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Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme
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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