Three-loop SM RGEs with general Yukawa matrices

Abstract

The results for the three-loop renormalization group equations for all fundamental parameters of the SM Lagrangian are presented. Special attention is paid to the Flavor sector of the SM, which parameterized by general complex non-diagonal Yukawa couplings. Some details of calculation techniques are given. In addition, ambiguities in the beta-functions for the matrix couplings are discussed.

5 pages, minor changes, talk presented at Quarks 2014 seminar, 2-8 June, 2014, Suzdal, Russia

References in corpus (4)

• 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
• Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model
• GraphState - a tool for graph identification and labelling