Light quark mass effects in the on-shell renormalization constants

TL;DR

This paper calculates three-loop relations between pole and minimally subtracted light quark masses, including effects of a second massive quark, and extends to on-shell wave function renormalization constants.

Contribution

It provides the first three-loop computations of these relations considering virtual effects of a second massive quark.

Findings

Three-loop relation between pole and MSbar quark masses with second quark effects.

Extension to on-shell wave function renormalization constants.

Enhanced precision in quark mass and wave function calculations.

Abstract

We compute the three-loop relation between the pole and the minimally subtracted quark mass allowing for virtual effects from a second massive quark. We also consider the analogue effects for the on-shell wave function renormalization constant.