1998/07/07 by M. Chabab, Chabab, M., R. Markazi +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9807270
15 pages, Latex file, 4 figures (upon request)
arxiv created 1998/07/07 · arxiv updated 2009/11/30
Using the non-relativistic version of Borel sum rules, combined to the very accurate experimental information on the Charmonium and Upsilon spectra, we rigorously investigate the Euclidean mass of the Charm and Bottom quark. Our analysis is performed with an improved expansion of the heavy current correlator in the infinite heavy quark mass limit. The optimal results, which take into account the most recent world average values of the strong coupling constant, as well as a conservative range of the gluon condensate, are: mcEucl=1.20+-0.034 GeV and mbEucl=4.18+-0.037 GeV. Their conversions to the corresponding pole mass and running mass give respectively: Mc=1.49+-0.08 GeV, Mb=4.65+-0.06 GeV and mc(mc)=1.21+-0.08 GeV, mb(mb)=4.20+-0.06 GeV in good agreement with the most recent direct estimates.