Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings

Autor: Bernard, C., DeTar, C., Di Pierro, M., El-Khadra, A. X., Evans, R. T., Freeland, E. D., Gámiz, E., Gottlieb, Steven, Heller, U. M., Hetrick, J. E., Kronfeld, A. S., Laiho, J., Levkova, L., Mackenzie, P. B., Simone, J. N., Sugar, R., Toussaint, D., Van de Water, R. S.
Rok vydání: 2010
Předmět:
Zdroj: Phys.Rev.D83:034503,2011
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.83.034503
Popis: We report the non-perturbative tuning of parameters--- kappa_c, kappa_b, and kappa_crit ---that determine the heavy-quark mass in the Fermilab action. This requires the computation of the masses of Ds^(*) and Bs^(*) mesons comprised of a Fermilab heavy quark and a staggered light quark. Additionally, we report the hyperfine splittings for Ds and Bs mesons as a cross-check of our simulation and analysis methods. We find a splitting of 145 +/- 15 MeV for the Ds system and 40 +/- 9 MeV for the Bs system. These are in good agreement with the Particle Data Group average values of 143.9 +/- 0.4 MeV and 46.1 +/- 1.5 MeV, respectively. The calculations are carried out with the MILC 2+1 flavor gauge configurations at three lattice spacings $a$ approximately 0.15, 0.12, and 0.09 fm.
Comment: 34 pages, 8 figures, 26 tables; some sections rearranged for clarity; conclusions unchanged; version accepted by Phys. Rev.D
Databáze: arXiv