Heavy quark masses from step-scaling

TL;DR

This paper determines charm and bottom quark masses using a step-scaling approach that connects small-volume relativistic simulations to large-volume ensembles, achieving precise results with controlled uncertainties.

Contribution

It introduces a novel step-scaling strategy for heavy-quark mass determination that combines small-volume relativistic simulations with large-volume data.

Findings

Precise charm and bottom quark masses obtained.

Systematic uncertainties are subdominant and well-controlled.

Method complements standard large-volume approaches.

Abstract

We present a determination of the charm- and bottom-quark masses using the heavy-quark step-scaling strategy. Renormalization is performed in small volumes where relativistic bottom quarks can be simulated directly. A sequence of finite-volume simulations connects this calculation to large-volume CLS ensembles, where simulations at physical light and strange quark masses provide reliable control over low-energy hadronic physics. In all but the smallest volume, the B-scale is reached by interpolating between relativistic heavy-quark data and the static limit. The resulting quark masses are obtained with good precision, with subdominant systematic uncertainties that differ from, and thus complement, those of standard large-volume determinations.