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QCD sum rule determination of the charm-quark mass

S. Bodenstein1, J. Bordes2, C. A. Dominguez1,3, J. Peñarrocha2, and K. Schilcher4

  • 1Centre for Theoretical & Mathematical Physics, University of Cape Town, Rondebosch 7700, South Africa
  • 2Departamento de Física Teórica, Universitat de Valencia, and Instituto de Física Corpuscular, Centro Mixto Universitat de Valencia-CSIC
  • 3Department of Physics, Stellenbosch University, Stellenbosch 7600, South Africa
  • 4Institut für Physik, Johannes Gutenberg-Universität Staudingerweg 7, D-55099 Mainz, Germany

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Phys. Rev. D 83, 074014 – Published 14 April, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.074014

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−(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≃20–25  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±9  MeV, where the error includes all sources of uncertainties added in quadrature.

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See Also

Charm-quark mass from weighted finite energy QCD sum rules

S. Bodenstein, J. Bordes, C. A. Dominguez, J. Peñarrocha, and K. Schilcher
Phys. Rev. D 82, 114013 (2010)

Hadronic contribution to the QED running coupling α(MZ2)

S. Bodenstein, C. A. Dominguez, K. Schilcher, and H. Spiesberger
Phys. Rev. D 86, 093013 (2012)

Article Text

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Phys. Rev. D 83, 074014– Published 14 April, 2011
  • Received 21 February 2011

© 2011 American Physical Society

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