A High Statistics Lattice Calculation of $f^{static}_B$ at $β=6.2$ Using the Clover Action

Details A High Statistics Lattice Calculation of $f^{static}_B$ at $β=6.2$ Using the Clover Action A High Statistics Lattice Calculation of $f^{static}_B$ at $β=6.2$ Using the Clover Action

1994-02-23

arxiv.org/abs/hep-ph/9402343v1

Phys.Lett. B326 (1994) 295-302

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTex, 3 figs. (figures not included; available upon request from lubicz@roma1.infn.it) ROME prep. 94/981, 18 Februa

Scientific paper

10.1016/0370-2693(94)91325-0

We present a calculation of $f_B$ in the static limit, obtained by numerical simulation of quenched QCD, at $\beta=6.2$ on a $18^3 \times 64$ lattice, using the SW-Clover quark action. The decay constant has been extracted by studying heavy(static)-light correlation functions of different smeared operators, on a sample of 220 gauge field configurations. We have obtained $f_B^{static}=(290 \pm 15 \pm 45)$ MeV, where the first error comes from the uncertainty in the determination of the matrix element and the second comes from the uncertainty in the lattice spacing. We also obtain $M_{B_s}-M_{B_d}= (70 \pm 10)$ MeV and $f^{stat}_{B_s}/f^{stat}_{B_d}=1.11(3)$. A comparison of our results with other calculations of the same quantity is made.

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