MS¯-on-shell quark mass relation up to four loops in QCD and a general SU(N) gauge group

Peter Marquard, Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser, and David Wellmann
Phys. Rev. D 94, 074025 – Published 17 October 2016
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Abstract

We compute the relation between heavy quark masses defined in the modified minimal subtraction and the on-shell schemes. Detailed results are presented for all coefficients of the SU(Nc) color factors. The reduction of the four-loop on-shell integrals is performed for a general QCD gauge parameter. Altogether there are about 380 master integrals. Some of them are computed analytically, others with high numerical precision using Mellin-Barnes representations, and the rest numerically with the help of FIESTA. We discuss in detail the precise numerical evaluation of the four-loop master integrals. Updated relations between various short-distance masses and the MS¯ quark mass to next-to-next-to-next-to-leading order accuracy are provided for the charm, bottom and top quarks. We discuss the dependence on the renormalization and factorization scale.

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  • Received 21 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.074025

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Peter Marquard1, Alexander V. Smirnov2, Vladimir A. Smirnov3, Matthias Steinhauser4, and David Wellmann4

  • 1Deutsches Elektronen-Synchrotron, DESY, 15738 Zeuthen, Germany
  • 2Research Computing Center, Moscow State University, 119991 Moscow, Russia
  • 3Skobeltsyn Institute of Nuclear Physics of Moscow State University, 119991 Moscow, Russia
  • 4Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany

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Issue

Vol. 94, Iss. 7 — 1 October 2016

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