Abstract
We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction (${\rm \overline{MS}}$) and the regularization-invariant symmetric momentum-subtraction (${\rm RI/SMOM}$) schemes. Our result is valid in the Landau gauge and can be used to reduce the uncertainty in a lattice determination of the ${\rm \overline{MS}}$ quark masses.
Highlights
We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction (MS) and the regularization-invariant symmetric momentumsubtraction (RI/SMOM) schemes
Quark masses mq arise in the Standard Model (SM) from Yukawa interactions of the quarks with the Higgs field
Not being of fundamental origin, quark masses are usually treated as parameters of the SM and for many years were the only source of information on the Higgs Yukawa couplings
Summary
Our result is valid in the Landau gauge and can be used to reduce the uncertainty in a lattice determination of the MS quark masses
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