A Lattice Calculation of the Isgur-Wise Function

Details A Lattice Calculation of the Isgur-Wise Function A Lattice Calculation of the Isgur-Wise Function

1993-07-07

arxiv.org/abs/hep-lat/9307005v1

Phys.Lett. B317 (1993) 164-172

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 3 postscript figures attached. Preprint BUHEP-93-15, Wash. U. HEP/93-34

Scientific paper

10.1016/0370-2693(93)91587-D

We calculate the Isgur-Wise function ($\xi_0$) by measuring the heavy-heavy meson transition matrix element on the lattice in the quenched approximation. The standard Wilson action is used for both the heavy and the light quarks. Our numerical results are compared with various model calculations and experimental data. In particular, using a linear fit, we find $\rho^2 = 1.24\pm .26 \pm .26 $. (The slope of $\xi_0$ at the zero-recoil point is $-\rho^2$.) Using instead the parametrization of $\xi_0$ suggested by Neubert and Rieckert and fitting the lattice data up to $v\cdot v' \sim 1.2$, we find $\rho^2_{NR}=1.41\pm.19\pm.19$

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