Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10724091 | Physics Letters B | 2010 | 8 Pages |
Abstract
We extract (for the first time) the ratio of the gluon condensate ãg3fabcG3ã/ãαsG2ã expressed in terms of the liquid instanton radius Ïc from charmonium moments sum rules by examining the effects of ãαsG2ã in the determinations of both Ïc and the running MS¯ mass m¯c(mc). Using a global analysis of selected ratios of moments at different Q2=0, 4mc2 and 8mc2 and keeping ãαsG2ã from 0.06 GeV4, where the estimate of Ïc is almost independent of ãαsG2ã, we deduce: Ïc=0.98(21) GeVâ1 corresponding to ãg3fabcG3ã=(31±13) GeV2ãαsG2ã. The value of m¯c(mc) is less affected (within the errors) by the variation of ãαsG2ã, where a common solution from different moments are reached for ãαsG2ã⩾0.02 GeV4. Using the values of ãαsG2ã=0.06(2) GeV4 from some other channels and the previous value of ãg3fabcG3ã, we deduce: m¯c(mc)=1261(18) MeV and m¯b(mb)=4232(10) MeV, where an estimate of the 4-loops (O(αs3)) contribution has been included. Our analysis indicates that the errors in the determinations of the charm quark mass and of αs without taking into account the ones of the gluon condensates have been underestimated. To that accuracy, one can deduce the running light and heavy quark masses and their ratios evaluated at MZ, where it is remarkable to notice the approximate equalities: ms/muâmb/msâmt/mbâ51(9), which might reveal some eventual underlying novel symmetry of the quark mass matrix in some Grand Unified Theories.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Stephan Narison,