Published April 20, 2017 | Version v1
Journal article

Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

  • 1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University,1(2), Leninskie gory, Moscow 119991 (Russian Federation)
  • 2. Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT),Wolfgang-Gaede-Straße 1, 726128 Karlsruhe (Germany)

Description

We extend the O(αs5) result of the analytic calculation of the quark mass anomalous dimension in pQCD https://www.doi.org/10.1007/JHEP10(2014)076 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.

Availability note (English)

Available from http://dx.doi.org/10.1007/JHEP04(2017)119; Available from http://repo.scoap3.org/record/19820

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2017
Journal Issue
04
Journal Page Range
p. 119
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
49011910
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANOMALOUS DIMENSION; PROPAGATOR; QUANTUM CHROMODYNAMICS; QUARKS; RENORMALIZATION; REST MASS
Descriptors DEC
FERMIONS; FIELD THEORIES; MASS; QUANTUM FIELD THEORY; SCALE DIMENSION

Optional Information

Copyright
Copyright (c) OPEN ACCESS, © The Authors
Notes
PUBLISHER-ID: JHEP04(2017)119; ARXIV:1702.01458; OAI: oai:repo.scoap3.org:19820
Funding organization
SCOAP3, CERN, Geneva (Switzerland)