Three-loop SM RGEs with general Yukawa matrices
A.V. Bednyakov (Dubna, JINR)
TL;DR
This paper presents the three-loop renormalization group equations for all parameters of the Standard Model, focusing on the flavor sector with general complex Yukawa matrices, and discusses calculation techniques and ambiguities.
Contribution
It provides the first complete three-loop RGEs for the SM parameters including general Yukawa matrices, enhancing precision in flavor sector analyses.
Findings
Derived three-loop RGEs for all SM parameters
Analyzed ambiguities in beta-functions for Yukawa matrices
Detailed calculation techniques for complex flavor structures
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.
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Taxonomy
TopicsParticle Accelerators and Free-Electron Lasers · Particle physics theoretical and experimental studies · Black Holes and Theoretical Physics