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.

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

References in corpus (14)

• Big-Bang Nucleosynthesis
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Reconstruction of heavy quark current correlators at O(α_s^3)
• Charm and Bottom Quark Masses from Perturbative QCD
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Low energy moments of heavy quark current correlators at four loops
• The second physical moment of the heavy quark vector correlator at O(alpha_s^3)
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Measurements of the continuum $R_{\mathrm{uds}}$ and $R$ values in $e^{+}{e}^{-}$ annihilation in the energy region between 3.650 and 3.872 GeV
• QCD sum rule determination of the charm-quark mass
• Quark-antiquark potential to order 1/m and heavy quark masses
• Chiral sum rules and vacuum condensates from tau-lepton decay data
• Charm Quark Mass with Calibrated Uncertainty