Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-07-19
Phys.Rev.D67:113002,2003
Physics
High Energy Physics
High Energy Physics - Phenomenology
55 pages, 12 figures. References added, discussions extended. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.67.113002
In this work the charm and bottom quark masses are determined from QCD moment sum rules for the charmonium and upsilon systems. To illustrate the special character of these sum rules when applied to Coulomb systems we first set up and study the behaviour of the sum rules in quantum mechanics. In our analysis we include both the results from nonrelativistic QCD and perturbation theory at next-next-to-leading order. The moments are evaluated at different values of q^2 which correspond to different relative influence among the theoretical contributions. In the numerical analysis we obtain the masses by choosing central values for all input parameters. The error is estimated from a variation of these parameters. First, the analysis is performed in the pole mass scheme. Second, we employ the potential-subtracted mass in intermediate steps of the calculation to then infer the quark masses in the MS-scheme. Our final results for the pole- and MS-masses are: M_c = 1.75 \pm 0.15 GeV, m_c(m_c) = 1.19 \pm 0.11 GeV, M_b = 4.98 \pm 0.125 GeV and m_b(m_b) = 4.24 \pm 0.10 GeV.
No associations
LandOfFree
QCD moment sum rules for Coulomb systems: the charm and bottom quark masses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with QCD moment sum rules for Coulomb systems: the charm and bottom quark masses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and QCD moment sum rules for Coulomb systems: the charm and bottom quark masses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-397281