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

doi:10.1103/PhysRevD.83.034503

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

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Abstract

We report the nonperturbative tuning of parameters-κ_c, κ_b, and κ_crit-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 D_s system and 40±9MeV for the B_s 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 language	English (US)
Article number	034503
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	83
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevD.83.034503
State	Published - Feb 23 2011
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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Bernard, C., Detar, C., Di Pierro, M., El-Khadra, A. X., Evans, R. T., Freeland, E. D., Gámiz, E., Gottlieb, S., 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. (2011). Tuning Fermilab heavy quarks in 2+1 flavor lattice QCD with application to hyperfine splittings. Physical Review D - Particles, Fields, Gravitation and Cosmology, 83(3), Article 034503. https://doi.org/10.1103/PhysRevD.83.034503

Bernard, C, Detar, C, Di Pierro, M, El-Khadra, AX, Evans, RT, Freeland, ED, Gámiz, E, Gottlieb, S, Heller, UM, Hetrick, JE, Kronfeld, AS, Laiho, J, Levkova, L, MacKenzie, PB, Simone, JN, Sugar, R, Toussaint, D & Van De Water, RS 2011, 'Tuning Fermilab heavy quarks in 2+1 flavor lattice QCD with application to hyperfine splittings', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 83, no. 3, 034503. https://doi.org/10.1103/PhysRevD.83.034503

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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.",

author = "C. Bernard and C. Detar and \{Di Pierro\}, M. and El-Khadra, \{A. X.\} and Evans, \{R. T.\} and Freeland, \{E. D.\} and E. G{\'a}miz and Steven Gottlieb and Heller, \{U. M.\} and Hetrick, \{J. E.\} and Kronfeld, \{A. S.\} and J. Laiho and L. Levkova and MacKenzie, \{P. B.\} and Simone, \{J. N.\} and R. Sugar and D. Toussaint and \{Van De Water\}, \{R. S.\}",

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AU - Bernard, C.

AU - Detar, C.

AU - Di Pierro, M.

AU - El-Khadra, A. X.

AU - Evans, R. T.

AU - Freeland, E. D.

AU - Gámiz, E.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Hetrick, J. E.

AU - Kronfeld, A. S.

AU - Laiho, J.

AU - Levkova, L.

AU - MacKenzie, P. B.

AU - Simone, J. N.

AU - Sugar, R.

AU - Toussaint, D.

AU - Van De Water, R. S.

PY - 2011/2/23

Y1 - 2011/2/23

N2 - 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.

AB - 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.

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

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