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
相关论文
共 50 条
  • [1] Three-loop beta-functions and anomalous dimensions in the Standard Model
    Bednyakov, A. V.
    Pikelner, A. F.
    Velizhanin, V. N.
    15TH INTERNATIONAL WORKSHOP ON ADVANCED COMPUTING AND ANALYSIS TECHNIQUES IN PHYSICS RESEARCH (ACAT2013), 2014, 523
  • [2] Three-loop SM beta-functions for matrix Yukawa couplings
    Bednyakov, A. V.
    Pikelner, A. F.
    Velizhanin, V. N.
    PHYSICS LETTERS B, 2014, 737 : 129 - 134
  • [3] Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
    Martin, Stephen P.
    PHYSICAL REVIEW D, 2014, 89 (01)
  • [4] Gauge and Yukawa coupling beta functions of two-Higgs-doublet models to three-loop order
    Herren, Florian
    Mihaila, Luminita
    Steinhauser, Matthias
    PHYSICAL REVIEW D, 2018, 97 (01)
  • [5] Four-Loop Gauge and Three-Loop Yukawa Beta Functions in a General Renormalizable Theory
    Bednyakov, Alexander
    Pikelner, Andrey
    PHYSICAL REVIEW LETTERS, 2021, 127 (04)
  • [6] The three-loop SSM beta-functions
    Ferreira, PM
    Jack, I
    Jones, DRT
    PHYSICS LETTERS B, 1996, 387 (01) : 80 - 86
  • [7] Gluino contribution to the three-loop beta function in the minimal supersymmetric standard model
    Clavelli, L
    Coulter, PW
    Surguladze, LR
    PHYSICAL REVIEW D, 1997, 55 (07) : 4268 - 4272
  • [8] Three-loop MS renormalization of QED in the 't Hooft-Veltman gauge
    Gracey, J. A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (46) : 13989 - 13996
  • [9] Three-loop renormalization of the effective potential
    Chung, JM
    Chung, BK
    PHYSICAL REVIEW D, 1997, 56 (10): : 6508 - 6523
  • [10] Gauge coupling beta functions in the standard model to three loops
    Mihaila, Luminita N.
    Salomon, Jens
    Steinhauser, Matthias
    PHYSICAL REVIEW LETTERS, 2012, 108 (15)