Cr. Allton et al., LATTICE CALCULATION OF D-MESON AND B-MESON SEMILEPTONIC DECAYS, USINGTHE CLOVER ACTION AT BETA=6.O ON APE, Physics letters. Section B, 345(4), 1995, pp. 513-523
We present the results of a high statistics lattice calculation of had
ronic form factors relevant for D- and B-meson semileptonic decays int
o light pseudoscalar and vector mesons. The results have been obtained
by averaging over 170 gauge held configurations, generated in the que
nched approximation, at beta = 6.0, on a 18(3) x 64 lattice, using the
O(a)-improved SW-Clover action. From the study of the matrix element
< K-\J(mu)\D-0>, we obtain f(+)(0) = 0.78+/-0.08 and from the matrix e
lement < ($) over bar K(0)\J(mu)\D+ > we obtain V(0) = 1.08+/-0.22, A
(1)(0) = 0.67+/-0.11 and A(2)(0) = 0.49+/-0.34. We also obtain the rat
ios V(0)/A(1)(0) = 1.6+/-0.3 and A(2)(0)/A(1)(0) = 0.7+/-0.4. Our pred
ictions for the different form factors are in good agreement with the
experimental data, although, in the case of Az(O),the errors are still
too large to draw any firm conclusion. With the help of the Heavy Qua
rk Effective Theory (HQET) we have also extrapolated the lattice resul
ts to B-meson decays. The form factors follow a behaviour compatible w
ith the HQET predictions. Our results are in agreement with a previous
lattice calculation, performed at beta = 6.4, using the standard Wils
on action.