Abstract
Abstract
We present analytical results for the QCD β-function extended to the gaugeless limit of the unbroken phase of the Standard Model at four-loop level. Apart from the strong coupling itself we include the top-Yukawa contribution and the Higgs self-coupling. We observe a numerically small non-naive γ
5 contribution at order y
t
4
g
s
4
, a feature not encountered in lower loop orders. We discuss the treatment of γ5 which is more involved than in previous calculations at three-loop level.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference68 articles.
1. J.C. Collins, Normal Products in Dimensional Regularization, Nucl. Phys.
B 92 (1975) 477 [INSPIRE].
2. L.N. Mihaila, J. Salomon and M. Steinhauser, Gauge Coupling β-functions in the Standard Model to Three Loops, Phys. Rev. Lett.
108 (2012) 151602 [arXiv:1201.5868] [INSPIRE].
3. L.N. Mihaila, J. Salomon and M. Steinhauser, Renormalization constants and β-functions for the gauge couplings of the Standard Model to three-loop order, Phys. Rev.
D 86 (2012) 096008 [arXiv:1208.3357] [INSPIRE].
4. A.V. Bednyakov, A.F. Pikelner and V.N. Velizhanin, Anomalous dimensions of gauge fields and gauge coupling β-functions in the Standard Model at three loops, JHEP
01 (2013) 017 [arXiv:1210.6873] [INSPIRE].
5. K.G. Chetyrkin and M.F. Zoller, Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the Standard Model, JHEP
06 (2012) 033 [arXiv:1205.2892] [INSPIRE].
Cited by
35 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献