Charm quark mass determined from a pair of sum rules

TL;DR

This paper estimates the charm quark mass using QCD sum rules of vector current correlator moments calculated at third order in perturbative QCD, achieving a self-consistent theoretical determination without extensive experimental input.

Contribution

It introduces a method to determine the charm quark mass from sum rules with minimal experimental data, improving theoretical precision and uncertainty assessment.

Findings

Self-consistent sum rule analysis for charm quark mass

Theoretical determination aligns with experimental data

Reassessment of theoretical uncertainties

Abstract

In this paper, we present preliminary results of the determination of the charm quark mass $\hat{m}_c$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD at ${\cal O} (\hat \alpha_s^3)$. Self-consistency between two different sum rules allow to determine the continuum contribution to the moments without requiring experimental input, except for the charm resonances below the continuum threshold. The existing experimental data from the continuum region is used, then, to confront the theoretical determination and reassess the theoretic uncertainty.