Yukawa coupling beta-functions in the Standard Model at three loops

被引：88
作者：
Bednyakov, A. V. [1 ]
Pikelner, A. F. [1 ]
Velizhanin, V. N. [2 ]
机构：
[1] Joint Inst Nucl Res, Dubna 141980, Russia
[2] Petersburg Nucl Phys Inst, Dept Theoret Phys, St Petersburg 188300, Russia
来源：
PHYSICS LETTERS B | 2013年 / 722卷 / 4-5期
关键词：
Standard Model; Renormalization group; QUANTUM-FIELD THEORY; RENORMALIZATION-GROUP EQUATIONS; POLE MASS; HEAVY-QUARK; DIAGRAMS; BEHAVIOR;
D O I：
10.1016/j.physletb.2013.04.038
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present the results for three-loop beta-functions for Yukawa couplings of heavy Standard Model fermions calculated within the unbroken phase of the model. The calculation is carried out with the help of the MINCER program in a general linear gauge, and the final result is independent of the gauge-fixing parameters. In order to calculate three-point functions, we made use of infrared rearrangement (IRR) trick. Due to the chiral structure of the SM a careful treatment of loops with fermions is required to perform the calculation. It turns out that gauge anomaly cancellation in the SM allows us to obtain the result by means of the semi-naive treatment of gamma(5). (C) 2013 Elsevier B.V. All rights reserved.
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页码：336 / 340
页数：5
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