QCD sum rule determination of the charm-quark mass

2011/02/18 by S. Bodenstein, J. Bordes, C. A. Domínguez +5
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.83.074014

published as Phys.Rev.D83:074014,2011

arxiv created 2011/02/18 · openalex publication_date 2011/04/14 · arxiv updated 2011/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

QCD sum rules involving mixed inverse moment integration kernels are used in order to determine the running charm-quark mass in the MS scheme. Both the high and the low energy expansion of the vector current correlator are involved in this determination. The optimal integration kernel turns out to be of the form p(s)=1\ensuremath-(s₀/s)², where s₀ is the onset of perturbative QCD. This kernel enhances the contribution of the well known narrow resonances, and reduces the impact of the data in the range s\ensuremath≃20--25 GeV². This feature leads to a substantial reduction in the sensitivity of the results to changes in s₀, as well as to a much reduced impact of the experimental uncertainties in the higher resonance region. The value obtained for the charm-quark mass in the MS scheme at a scale of 3 GeV is m_c(3 GeV)=987\ifmmode±\else\textpm\fi9 MeV, where the error includes all sources of uncertainties added in quadrature.

Citations

• Heavy quark masses from sum rules in four-loop approximation
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Mass corrections to the vector current correlator
• Review of Particle Physics