Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops

被引：59
|
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：
JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 01期
关键词：
Renormalization Group; Standard Model; RENORMALIZATION-GROUP EQUATIONS; SINGLET TRANSVERSITY OPERATOR; 2-LOOP RENORMALIZATION; B-QUARK; QCD; DIAGRAMS; BEHAVIOR; MASSES;
D O I：
10.1007/JHEP01(2013)017
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We present the for three-loop gauge field anomalous dimension's in the SM calculated in the background field gauge within the unbroken phase of the model. The results are valid for the general background field gauge parameterized by three independent parameters. Both quantum and background fields are considered. The former are used to find three-loop anomalous dimensions for the gauge-fixing parameters, and the latter allow one to obtain the three-loop SM gauge beta-functions. Independence of beta-functions of gauge-fixing parameters serves as a validity check of our final results.
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页数：23
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