1994/08/26 by S. Narison · 1 citation
Physics and Astronomy · #hep-ph #hep-lat
paper · pdf · doi:10.1016/0370-2693(94)01273-3
published as Phys.Lett.B341:73-83,1994 · 15 pages in latex file + 3 figures in 3 ps-files appended at the end of the paper, CERN-TH.7405/94 (replace 9408376 : compressed abstract)
arxiv created 1994/08/26 · arxiv updated 2011/01/27
Using the recent \it world average αs(M2Z)= 0.118 ± 0.006, we give the \it first direct extraction from the Ψ and Υ data of the values of the \it running heavy quark masses within QCD spectral sum rules to two-loops in the MS-scheme: \mrb(MPT2b) = (4.23~+0.03-0.04 ± 0.02) GeV and \mrc(MPT2c) = (1.23~+ 0.02-0.04 ± 0.03) GeV, (the errors are respectively due to \alf and to the gluon condensate), and the corresponding value of the \it short-distance perturbative pole masses to two-loops: MPT2b=(4.62 ± 0.02) GeV, MPT2c= (1.41± 0.03) GeV, which we compare with the updated values of the \it non-relativistic pole masses re-extracted \it directly from the two-loop non-relativistic sum rules: MNRb= (4.69~-0.01+0.02 ± 0.02) GeV and MNRc=(1.44± 0.02± 0.03) GeV. It is also informative to compare the \it three-loop values of the short-distance pole masses: MPT3b=(4.87± 0.05 ± 0.02) GeV and MPT3c= (1.62± 0.07 ± 0.03) GeV, with the \it dressed mass Mnrb = (4.94 ± 0.10 ± 0.03) GeV, entering into the \it non-relativistic Balmer formula including higher order \alf corrections. The small mass-differences MNRb-MPT2b ≃ Mnrb-MPT3b ≃ 70 MeV and McNR-McPT2 ≃ (30 ± 20) MeV \it can measure the size of the non-perturbative effect induced by \it renormalon type-singularities. An analogous analysis is pursued for the heavy-light mesons, where a simultaneous \it re-fit of the B and B^* masses from relativistic sum rules leads to: MbPT2= (4.63 ± 0.08) GeV,