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Phys. Rev. Lett. 92, 162001 (2004) [4 pages]

Bs and Ds Decay Constants in Three-Flavor Lattice QCD

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Matthew Wingate1,2, Christine T. H. Davies3, Alan Gray3,1, G. Peter Lepage4, and Junko Shigemitsu1
1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
2Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA
3Department of Physics & Astronomy, University of Glasgow, Glasgow, G12 8QQ, United Kingdom
4Laboratory of Elementary Particle Physics, Cornell University, Ithaca, New York 14853, USA

Received 12 November 2003; published 22 April 2004

Capitalizing on recent advances in lattice QCD, we present a calculation of the leptonic decay constants fBs and fDs that includes effects of one strange sea quark and two light sea quarks via an improved staggered action. By shedding the quenched approximation and the associated lattice scale uncertainty, lattice QCD greatly increases its predictive power. Nonrelativistic QCD is used to simulate heavy quarks with masses between 1.5mc and mb. We arrive at the following results: fBs=260±7±26±8±5 and fDs=290±20±29±29±6   MeV. The first quoted error is the statistical uncertainty, and the rest estimate the sizes of higher order terms neglected in this calculation. All of these uncertainties are systematically improvable by including another order in the weak coupling expansion, the nonrelativistic expansion, or the Symanzik improvement program.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.162001
DOI:
10.1103/PhysRevLett.92.162001
PACS:
12.38.Gc, 13.20.Fc, 13.20.He
 
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