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Phys. Rev. D 63, 034505 (2001) [12 pages]

Scaling and further tests of heavy meson decay constant determinations from nonrelativistic QCD

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S. Collins1,*, C. T. H. Davies1,*, J. Hein2, G. P. Lepage2, C. J. Morningstar3, J. Shigemitsu4, and J. Sloan5,†
1Department of Physics & Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom
2Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853
3Department of Physics, Florida International University, Miami, Florida 33199
4Physics Department, The Ohio State University, Columbus, Ohio 43210
5Physics Department, University of Kentucky, Lexington, Kentucky 40506

Received 13 July 2000; published 9 January 2001

We present results for the Bs meson decay constant fBs from simulations at three lattice spacings in the range a-1=1.1 to 2.6 GeV using NRQCD heavy quarks and clover light quarks in the quenched approximation. We study the scaling of this quantity and check the consistency between mesons decaying from rest and from a state with a nonzero spatial momentum. The cancellation of power law contributions that arise in the NRQCD formulation of heavy-light currents is discussed. On the coarsest lattice the Ds meson decay constant fDs is calculated. Our best values for the decay constants are given by fBs=187(4)(4)(11)(2)(7)(6)MeV and fDs=223(6)(31)(38)(23)(9)(-1+3)MeV.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.034505
DOI:
10.1103/PhysRevD.63.034505
PACS:
12.38.Gc, 13.20.Fc, 13.20.He

*Associated with the UKQCD Collaboration.

Present address: Spatial Technologies, Boulder, CO.