Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order

DOI10.1016/j.nuclphysb.2007.03.010zbMath1117.81370arXivhep-ph/0702185OpenAlexW2011925565MaRDI QIDQ2369775

Jan H. Piclum, Peter Marquard, Matthias Steinhauser, Luminita Mihaila

Publication date: 21 June 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0702185

Mathematics Subject Classification ID

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

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Uses Software

• RunDec
• JaxoDraw

Cites Work

• Applied asymptotic expansions in momenta and masses
• Automatized analytic continuation of Mellin-Barnes integrals
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Fermionic corrections to the three-loop matching coefficient of the non-relativistic vector current
• Automatic Feynman graph generation
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Non-planar massless two-loop Feynman diagrams with four on-shell legs