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Bednyakov, A. V.; Pikelner, A. F.; Velizhanin, V. N.

Yukawa coupling beta-functions in the standard model at three loops. (English) Zbl 1306.81390

Phys. Lett., B 722, No. 4-5, 336-340 (2013).
Summary: 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 \(\gamma_5\).

Cited in 9 Documents

MSC:

81V22 Unified quantum theories
81T17 Renormalization group methods applied to problems in quantum field theory

Keywords:

standard model; renormalization group

Software:

RunDec
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\textit{A. V. Bednyakov} et al., Phys. Lett., B 722, No. 4--5, 336--340 (2013; Zbl 1306.81390)
Full Text: DOI arXiv

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