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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

Abstract

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
Volume83
Issue number3
DOIs
StatePublished - Feb 23 2011

ASJC Scopus subject areas

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

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