Three-loop SM beta-functions for matrix Yukawa couplings

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.

9 pages, references added, version accepted by PLB

References in corpus (3)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops

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• Renormalization Group Evolution of Flavour Invariants
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions
• Divergences in anomalous dimension matrices of quarks at three loops: Explanation and simple solution