Quark masses: N3LO bridge from $RI/SMOM$ to $\overline{\mathrm{MS}}$ scheme

Abstract

We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction ($\overline{\mathrm{MS}}$) and the regularization-invariant symmetric momentum-subtraction ($RI/SMOM$) schemes. Our result is valid in the Landau gauge and can be used to reduce the uncertainty in a lattice determination of the $\overline{\mathrm{MS}}$ quark masses.

arXiv comment5 pages, ancillary file with results, matches journal version

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• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• Three-loop vertex integrals at symmetric point
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Non-perturbative renormalisation with interpolating momentum schemes
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit