The Decay Constants $$f_{D_s}, f_{D+}, f_{B_s}$$ and $$f_B$$ from Lattice QCD

Conference · Fri Jan 01 04:00:00 EST 2010 · PoS

DOI:https://doi.org/10.22323/1.105.0317· OSTI ID:1985121

Simone, J. ^[1]; Bailey, J. A. ^[1]; Bazavov, A. ^[2]; Bernard, C. ^[3]; Bouchard, C. ^[4]; DeTar, C. ^[5]; El-Khadra, A. X. ^[4]; Freeland, E. D. ^[6]; Gamiz, E. ^[1]; Gottlieb, Steven ^[7]; Heller, U. M. ^[8]; Hetrick, J. E. ^[9]; Kronfeld, A. S. ^[1]; Laiho, J. ^[10]; Levkova, L. ^[5]; Mackenzie, P. B. ^[1]; Oktay, M. B. ^[5]; Sugar, R. ^[11]; Toussaint, D. ^[2]; Van de Water, R. S. ^[12]

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1. Fermilab
2. Arizona U.
3. Washington U., St. Louis
4. Illinois U., Urbana
5. Utah U.
6. Illinois U., Urbana; Washington U., St. Louis
7. NCSA, Urbana; Indiana U.
8. APS, New York
9. U. Pacific, Stockton
10. Glasgow U.
11. UC, Santa Barbara
12. Brookhaven

In this report we summarize results for the leptonic decay constants $$f_{D_s} , f_{D+}, f_{B_s}$$ and $$f_B$$, obtained at the three lattice spacings a $$\approx$$ 0.09, 0.125 and 0.15 fm, from the now concluded first computational phase of our on-going project. The decay constants are computed on the MILC collaboration’s 2+1 flavor asqtad gauge ensembles. We use clover heavy quarks in the Fermilab interpretation and asqtad improved staggered light quarks. For each of the D and B meson systems, a simultaneous chiral and continuum extrapolation is performed with partially quenched lattice results. We show how improvements being implemented now, such as, higher statistics, additional finer lattice spacings and better determinations of inputs to the calculation, are expected to reduce future statistical and systematic uncertainties.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Contributing Organization: Fermilab Lattice; MILC
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1985121
• Report Number(s): FERMILAB-CONF-10-591-T; oai:inspirehep.net:890032
• Conference Information: Journal Name: PoS Journal Volume: LATTICE2010
• Country of Publication: United States
• Language: English