Three-loop beta-functions and anomalous dimensions in the Standard Model

15th International Workshop on Advanced Computing and Analysis Techniques in Physics Research

物理学;计算机科学

Bednyakov, A.V.^1 ; Pikelner, A.F.^1 ; Velizhanin, V.N.^2

Joint Institute for Nuclear Research, 141980 Dubna, Russia^1

Theoretical Physics Department, Petersburg Nuclear Physics Institute, 188300 St.-Petersburg, Russia^2

关键词: Beta function;    Computer tools;    Dimensional regularization;    Initial parameter;    Renormalization group;    Standard model;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/523/1/012045/pdf
DOI  :  10.1088/1742-6596/523/1/012045

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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 γ5is presented in some details. In addition, for a reasonable set of initial parameters the numerical estimates of the obtained three-loop contributions are presented.