Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops

Matteo Fael, Kay Schönwald, Matthias Steinhauser

We consider the on-shell mass and wave function renormalization constants $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ up to three-loop order allowing for a second non-zero quark mass. We obt…