QCD sum rule determination of the charm-quark mass

Journal Article · Fri Apr 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.074014· OSTI ID:21537717

Bodenstein, S ^[1]; Bordes, J; Penarrocha, J ^[2]; Dominguez, C A ^[1]; Schilcher, K ^[3]

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1. Centre for Theoretical and Mathematical Physics, University of Cape Town, Rondebosch 7700 (South Africa)
2. Departamento de Fisica Teorica, Universitat de Valencia, and Instituto de Fisica Corpuscular, Centro Mixto Universitat de Valencia-CSIC (Spain)
3. Institut fuer Physik, Johannes Gutenberg-Universitaet Staudingerweg 7, D-55099 Mainz (Germany)

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-(s{sub 0}/s){sup 2}, where s{sub 0} 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{approx_equal}20-25 GeV{sup 2}. This feature leads to a substantial reduction in the sensitivity of the results to changes in s{sub 0}, 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{sub c}(3 GeV)=987{+-}9 MeV, where the error includes all sources of uncertainties added in quadrature.

• OSTI ID: 21537717
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 7; Other Information: DOI: 10.1103/PhysRevD.83.074014; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXPANSION
GEV RANGE 01-10
MASS
MEV RANGE 100-1000
PERTURBATION THEORY
QUADRATURES
QUANTUM CHROMODYNAMICS
QUARKS
RESONANCE
SENSITIVITY
SUM RULES
VECTOR CURRENTS
ALGEBRAIC CURRENTS
CURRENTS
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD THEORIES
GEV RANGE
MEV RANGE
QUANTUM FIELD THEORY