Quark mass renormalization in the and RI schemes up to the NNLO order

1998/03/30 by E. Franco, V. Lubicz · 10 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0550-3213(98)00438-6

published as Nucl.Phys. B531 (1998) 641-651 · 12 pages, Latex, 1 Figure

arxiv created 1998/03/30 · openalex publication_date 1998/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We compute the relation between the quark mass defined in the minimal modified \MSbar scheme and the mass defined in the ``Regularization Invariant" scheme (RI), up to the NNLO order. The RI scheme is conveniently adopted in lattice QCD calculations of the quark mass, since the relevant renormalization constants in this scheme can be evaluated in a non-perturbative way. The NNLO contribution to the conversion factor between the quark mass in the two schemes is found to be large, typically of the same order of the NLO correction at a scale μ∼ 2 GeV. We also give the NNLO relation between the quark mass in the RI scheme and the renormalization group-invariant mass.

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops

Cited by

• Two-loop QCD corrections of the massive fermion propagator
• Amplitudes for then=3moment of the Wilson operator at two loops in theRI′/SMOMscheme
• Non-perturbative renormalisation of composite operators in lattice QCD
• Lattice determination of light quark masses
• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• Three loop anomalous dimension of non-singlet quark currents in the RI′ scheme
• Unquenched Kogut-Susskind quark propagator in lattice Landau gauge QCD
• Bilinear quark operator renormalization at generalized symmetric point
• Renormalization of bilinear quark operators for overlap fermions