Charm-quark mass from weighted finite energy QCD sum rules

Abstract

The running charm-quark mass in the $\overline{MS}$ scheme is determined from weighted finite energy QCD sum rules (FESR) involving the vector current correlator. Only the short distance expansion of this correlator is used, together with integration kernels (weights) involving positive powers of $s$, the squared energy. The optimal kernels are found to be a simple {\it pinched} kernel, and polynomials of the Legendre type. The former kernel reduces potential duality violations near the real axis in the complex s-plane, and the latter allows to extend the analysis to energy regions beyond the end point of the data. These kernels, together with the high energy expansion of the correlator, weigh the experimental and theoretical information differently from e.g. inverse moments FESR. Current, state of the art results for the vector correlator up to four-loop order in perturbative QCD are used in the FESR, together with the latest experimental data. The integration in the complex s-plane is performed using three different methods, fixed order perturbation theory (FOPT), contour improved perturbation theory (CIPT), and a fixed renormalization scale $\mu$ (FMUPT). The final result is ${\bar{m}}_c(3GeV)=1008\pm 26MeV$, in a wide region of stability against changes in the integration radius $s_0$ in the complex s-plane.

A short discussion on convergence issues has been added at the end of the paper

References in corpus (15)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• 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
• Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
• 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
• Four-Loop Tadpoles: Applications in QCD
• Strange quark mass from Finite Energy QCD sum rules to five loops
• Up and down quark masses from Finite Energy QCD sum rules to five loops
• Strange quark condensate from QCD sum rules to five loops
• Confronting QCD with the experimental hadronic spectral functions from tau-decay

Cited by in corpus (1)

• QCD sum rule determination of the charm-quark mass