Tuesday, January 1, 2013

1212.6829 (A. V. Bednyakov et al.)

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

A. V. Bednyakov, A. F. Pikelner, V. N. Velizhanin
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 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 rearrangements (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.
View original: http://arxiv.org/abs/1212.6829

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