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Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H.

Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators. (English) Zbl 1378.81150

J. High Energy Phys. 2017, No. 4, Paper No. 119, 15 p. (2017).
Summary: We extend the \( \mathcal{O}\left({\alpha}_s^5\right) \) result of the analytic calculation of the quark mass anomalous dimension in pQCD arXiv:1402.6611 to the case of a generic gauge group. We present explicit formulas which express the relevant renormalization constants in terms of four-loop massless propagators. We also use our result to shed new light on the old puzzle of the absence of even zetas in results of perturbative calculations for a class of physical observables.

Cited in 10 Documents

MSC:

81V05 Strong interaction, including quantum chromodynamics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory

Keywords:

perturbative QCD; renormalization group

Software:

Forcer; LiteRed; FORM; RStar
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\textit{P. A. Baikov} et al., J. High Energy Phys. 2017, No. 4, Paper No. 119, 15 p. (2017; Zbl 1378.81150)
Full Text: DOI arXiv

References:

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