A strategy to compute the b-quark mass with non-perturbative accuracy

TL;DR

This paper presents a non-perturbative method within HQET to accurately compute the b-quark mass, avoiding perturbative divergences and enabling continuum limit extrapolation, with promising initial numerical results.

Contribution

The paper introduces a novel non-perturbative strategy for calculating the b-quark mass in HQET that circumvents perturbative subtraction of divergences.

Findings

Preliminary b-quark mass result: 4.56(2)(7) GeV at 4 GeV.

Method avoids perturbative subtraction of power divergences.

Potential application to operator matching and 1/m corrections.

Abstract

We describe a strategy for a non-perturbative computation of the b-quark mass to leading order in 1/m in the Heavy Quark Effective Theory (HQET). The approach avoids the perturbative subtraction of power law divergencies, and the continuum limit may be taken. First numerical results in the quenched approximation demonstrate the potential of the method with a preliminary result m_b(4GeV)=4.56(2)(7) GeV. In principle, the idea may also be applied to the matching of composite operators or the computation of 1/m corrections in HQET.