Three-loop beta-functions and anomalous dimensions in the Standard Model
A.V. Bednyakov, A.F. Pikelner, and V.N. Velizhanin
TL;DR
This paper discusses the computational methods and tools used to calculate three-loop renormalization group coefficients in the Standard Model, including techniques for gamma5 treatment and numerical estimates of contributions.
Contribution
It presents a detailed calculation of three-loop beta-functions and anomalous dimensions in the Standard Model using advanced regularization and subtraction techniques, including gamma5 handling.
Findings
Numerical estimates of three-loop contributions provided
Techniques based on dimensional regularization and minimal subtraction explained
Gamma5 treatment detailed for accurate calculations
Abstract
In this talk the methods and computer tools which were used in our recent calculation of the three-loop Standard Model renormalization group coefficients are discussed. A brief review of the techniques based on special features of dimensional regularization and minimal subtraction schemes is given. Our treatment of gamma5 is presented in some details. In addition, for a reasonable set of initial parameters the numerical estimates of the obtained three-loop contributions are presented.
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