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QCD sum rule determination of the charm-quark mass

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QCD sum rule determination of the charm-quark mass

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Bodenstein, Sebastian; Bordes Villagrasa, José M.; Domínguez, Cesáreo A.; Peñarrocha Gantes, José Antonio; Schilcher, K.

This document is a artículoDate2011

Este documento está disponible también en : http://hdl.handle.net/10550/42734

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−(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≃20−25GeV2. 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(3GeV)=987±9MeV, where the error includes all sources of uncertainties added in quadrature.

Bodenstein, Sebastian Bordes Villagrasa, José M. Domínguez, Cesáreo A. Peñarrocha Gantes, José Antonio Schilcher, K. 2011 QCD sum rule determination of the charm-quark mass Physical Review D 83 7 074014

http://dx.doi.org/10.1103/PhysRevD.83.074014