Lattice HQET with exponentially improved statistical precision

Details Lattice HQET with exponentially improved statistical precision Lattice HQET with exponentially improved statistical precision

2003-07-11

arxiv.org/abs/hep-lat/0307021v3

Phys.Lett.B581:93-98,2004; Erratum-ibid.B612:313-314,2005

Physics

High Energy Physics

High Energy Physics - Lattice

Eqs. 14 and 15 corrected. Changes by up to 1 sigma in Table 1, Eq. 22 changed consequently. Result in Eq. 24 unchanged

Scientific paper

10.1016/j.physletb.2005.03.017

We introduce an alternative discretization for static quarks on the lattice retaining the O(a) improvement properties of the Eichten-Hill action. In this formulation, statistical fluctuations are reduced by a factor which grows exponentially with Euclidean time, x_0. For the first time, B-meson correlation functions are computed with good statistical precision in the static approximation for x_0>1 fm. At lattice spacings a \approx 0.1 fm, a \approx 0.08 fm and a \approx 0.07 fm the B_s-meson decay constant is determined in static and quenched approximations. A correction due to the finite mass of the b-quark is estimated by combining these static results with a recent determination of F_Ds.

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