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

Journal Article · · Physical Review. D, Particles Fields
;  [1]; ;  [2];  [3];  [4];  [4];  [4];  [5];  [6];  [7]; ; ;  [8];  [1];  [9];  [10];  [11]
  1. Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
  2. Physics Department, University of Utah, Salt Lake City, Utah 84112 (United States)
  3. School of Computing, DePaul University, Chicago, Illinois 60604 (United States)
  4. Physics Department, University of Illinois, Urbana, Illinois 61801 (United States)
  5. Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)
  6. American Physical Society, One Research Road, Ridge, New York 11961 (United States)
  7. Physics Department, University of the Pacific, Stockton, California 95211 (United States)
  8. Fermi National Accelerator Laboratory, Batavia, Illinois 60510 (United States)
  9. Department of Physics, University of California, Santa Barbara, California 93106 (United States)
  10. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
  11. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
We report the nonperturbative tuning of parameters - {kappa}{sub c}, {kappa}{sub b}, and {kappa}{sub crit} - that are related to the bare heavy-quark mass in the Fermilab action. This requires the computation of the masses of D{sub s}{sup (*)} and B{sub s}{sup (*)} mesons comprised of a Fermilab heavy quark and a staggered light quark. Additionally, we report the hyperfine splittings for D{sub s}{sup (*)} and B{sub s}{sup (*)} mesons as a cross-check of our simulation and analysis methods. We find a splitting of 145{+-}15 MeV for the D{sub s} system and 40{+-}9 MeV for the B{sub s} 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{approx_equal}0.15, 0.12, and 0.09 fm.
OSTI ID:
21504899
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English