Short Distance Mass of a Heavy Quark at Order \alpha_s^3

TL;DR

This paper calculates the three-loop correction to the relation between on-shell and ar{MS} heavy quark masses, reducing uncertainties in top and bottom quark mass determinations.

Contribution

It provides the first three-loop order calculation of the quark mass relation, improving precision in heavy quark mass measurements.

Findings

Three-loop correction significantly reduces theoretical uncertainties.

Updated quark mass values for top and bottom quarks.

Enhanced accuracy in quark mass determinations.

Abstract

The relation between the on-shell quark mass and the mass defined in the modified minimal subtraction scheme is computed up to order \alpha_s^3. Implications for the numerical values of the top and bottom quark masses are discussed. We show that the new three-loop correction significantly reduces the theoretical uncertainty in the determination of the quark masses.