Charm quark mass determined from a pair of sum rules

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 $\mathcal{O}({\hat{\alpha }}_s^3)$. 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.

Comments: 13 pages, 4 figures. Matches the published version in Modern Physics Letters A. arXiv admin note: text overlap with arXiv:1610.08531