Bilinear quark operators in the RI/SMOM scheme at three loops

Understand

We consider the renormalization of the matrix elements of the bilinear quark operators $\bar{\psi}\psi$, $\bar{\psi}\gamma_\mu\psi$, and $\bar{\psi}\sigma_{\mu\nu}\psi$ at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point.

• This allows us to obtain conversion factors between the $\overline{\rm MS}$ scheme and the regularization invariant symmetric momentum subtraction (RI/SMOM) scheme.
• The obtained results can be used to reduce the errors in determinations of quark masses from lattice QCD simulations.
• The results are given in Landau gauge.