Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order

Details Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order Gluon condensate and c-quark mass in pseudoscalar sum rules at 3-loop order

2002-10-07

arxiv.org/abs/hep-ph/0210103v2

JHEP0301:081,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 1 latex + 5 eps files. v2: Operators of dimension D=8 included; the condensate restriction relaxed; c-quark mass is

Scientific paper

10.1088/1126-6708/2003/01/081

Charmonium sum rules for pseudoscalar 0^{-+} state eta_c(1S) are analyzed within perturbative QCD and Operator Product Expansion. The perturbative part of the pseudoscalar correlator is considered at alpha_s^2 order and the contribution of the gluon condensate is taken into account with alpha_s correction. The OPE series includes the operators of dimension D=6,8 computed both in the instanton and factorization model. The method of moments in MS-bar scheme allows to establish acceptable values of the charm quark mass and gluon condensate, using the experimental mass of eta_c. In result of the analisys the charm quark mass is found to be m_c(m_c)=1.26+-0.02 GeV independently of the condensate value. The sensitivity of the results to various approximations for the massive 3-loop pseudoscalar correlator is discussed.

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