Renormalization constants and beta functions for the gauge couplings of the standard model to three-loop order

被引:73
|
作者
Mihaila, Luminita N. [1 ]
Salomon, Jens [1 ]
Steinhauser, Matthias [1 ]
机构
[1] Karlsruhe Inst Technol, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany
来源
PHYSICAL REVIEW D | 2012年 / 86卷 / 09期
关键词
QUANTUM-FIELD THEORY; GROUP EQUATIONS; 2-LOOP; QCD; DIAGRAMS; BEHAVIOR;
D O I
10.1103/PhysRevD.86.096008
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We compute the beta functions for the three gauge couplings of the Standard Model in the minimal subtraction scheme to three loops. We take into account contributions from all sectors of the Standard Model. The calculation is performed using both Lorenz gauge in the unbroken phase of the Standard Model and background field gauge in the spontaneously broken phase. Furthermore, we describe in detail the treatment of gamma(5) and present the automated setup which we use for the calculation of the Feynman diagrams. It starts with the generation of the Feynman rules and leads to the bare result for the Green's function of a given process.
引用
收藏
页数:27
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