The charm quark mass from non-relativistic sum rules

TL;DR

This paper determines the charm quark mass using non-relativistic sum rules, combining fixed-order and effective-theory calculations, and achieves precise results with controlled corrections.

Contribution

It introduces a combined approach for charm quark mass determination that effectively accounts for both perturbative and non-perturbative effects.

Findings

PS mass m_{PS}(0.7 GeV) = 1.50 ± 0.04 GeV

MS-bar mass m = 1.25 ± 0.04 GeV

Non-perturbative corrections are well-controlled

Abstract

We present an analysis to determine the charm quark mass from non-relativistic sum rules, using a combined approach taking into account fixed-order and effective-theory calculations. Non-perturbative corrections as well as higher-order perturbative corrections are under control. For the PS mass we find m_{PS}(0.7 GeV) = 1.50\pm 0.04 GeV, which translates into a MS-bar mass of m = 1.25\pm 0.04 GeV.