Three-loop SM beta-functions for matrix Yukawa couplings
A.V. Bednyakov, A.F. Pikelner, V.N. Velizhanin
TL;DR
This paper extends the calculation of three-loop beta-functions for Yukawa couplings in the Standard Model to complex matrices, providing detailed results and addressing ambiguities in the flavor structure analysis.
Contribution
It provides the first comprehensive three-loop beta-functions for complex Yukawa matrices in the Standard Model, enhancing precision in flavor physics studies.
Findings
Extended previous results to complex Yukawa matrices
Performed calculations in unbroken SM phase using MINCER, cross-checked with MATAD/BAMBA
Analyzed ambiguities in Yukawa matrix beta-functions
Abstract
We present the extension of our previous results for three-loop Yukawa coupling beta-functions to the case of complex Yukawa matrices describing the flavour structure of the SM. The calculation is carried out in the context of unbroken phase of the SM with the help of the MINCER program in a general linear gauge and cross-checked by means of MATAD/BAMBA codes. In addition, ambiguities in Yukawa matrix beta-functions are studied.
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