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.

Comments: 5 pages, ancillary file with results, matches journal version