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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.

Aquest document és un/a article, creat/da en: 2011

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.

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