English

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

High Energy Physics - Phenomenology 2020-05-08 v2 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction (MS{\rm \overline{MS}}) and the regularization-invariant symmetric momentum-subtraction (RI/SMOM{\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 MS{\rm \overline{MS}} quark masses.

Keywords

Cite

@article{arxiv.2002.12758,
  title  = {Quark masses: N3LO bridge from ${\rm RI/SMOM}$ to ${\rm \overline{MS}}$ scheme},
  author = {Alexander Bednyakov and Andrey Pikelner},
  journal= {arXiv preprint arXiv:2002.12758},
  year   = {2020}
}

Comments

5 pages, ancillary file with results, matches journal version