Tuning Fermilab heavy quarks in 2+1 flavor lattice QCD with application to hyperfine splittings

C. Bernard, C. Detar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, J. E. Hetrick, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. MacKenzie, J. N. Simone, R. Sugar, D. Toussaint, R. S. Van De Water

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


We report the nonperturbative tuning of parameters-κc, κb, and κcrit-that are related to the bare 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±15MeV for the Ds system and 40±9MeV for the Bs system. These are in good agreement with the Particle Data Group average values of 143.9±0.4MeV and 46.1±1.5MeV, respectively. The calculations are carried out with the MILC 2+1 flavor gauge configurations at three lattice spacings a0.15, 0.12, and 0.09 fm.

Original languageEnglish (US)
Article number034503
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number3
StatePublished - Feb 23 2011
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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