Quark masses: N3LO bridge from $\mathrm{R}\mathrm{I}\mathrm{/}\mathrm{S}\mathrm{M}\mathrm{O}\mathrm{M}$ to $\overline{\mathrm{M}\mathrm{S}}$ scheme

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 ($\mathrm{R}\mathrm{I}\mathrm{/}\mathrm{S}\mathrm{M}\mathrm{O}\mathrm{M}$) schemes. Our result is valid in the Landau gauge and can be used to reduce the uncertainty in a lattice determination of the $\overline{\mathrm{M}\mathrm{S}}$ quark masses.