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

Abstract

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 gamma5.

7 pages, 1 figure, discussion about gamma5 extended, numerical estimates changed according to new ancillary files with correct results

References in corpus (6)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order
• LanHEP - a package for automatic generation of Feynman rules from the Lagrangian. Updated version 3.1
• On the difference between the pole and the MSbar masses of the top quark at the electroweak scale
• Vanishing of the four-loop charge renormalization function in N=4 SYM theory

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