English

Beta functions and anomalous dimensions up to three loops

High Energy Physics - Phenomenology 2009-10-30 v1

Abstract

We derive an algorithm for automatic calculation of perturbative β\beta-functions and anomalous dimensions in any local quantum field theory with canonical kinetic terms. The infrared rearrangement is performed by introducing a common mass parameter in all the propagator denominators. We provide a set of explicit formulae for all the necessary scalar integrals up to three loops.

Keywords

Cite

@article{arxiv.hep-ph/9711266,
  title  = {Beta functions and anomalous dimensions up to three loops},
  author = {Konstantin Chetyrkin and Mikolaj Misiak and Manfred Muenz},
  journal= {arXiv preprint arXiv:hep-ph/9711266},
  year   = {2009}
}

Comments

22 pages, 4 figures, uses epsf.sty

R2 v1 2026-07-22T14:40:28.232Z