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Lattice study of semileptonic decay using nonrelativistic lattice QCD
We present an exploratory lattice study of semileptonic decay form
factors using the nonrelativistic lattice QCD for heavy quark with Wilson light
quark on a quenched lattice at . The matrix
elements are calculated at eight values of heavy quark mass in a range of
GeV and with three values of light quark mass. The corrections
to the matrix elements are found to be fairly small except for the spatial
component proportional to the meson momentum. We find that the
dependence of the form factor near becomes much stronger
for larger heavy quark mass, which may suggest the increase of a pole
contribution. We perform a model independent fit of the form factors and study
whether the dependence is consistent with the pole contribution. Although
the soft pion theorem predicts in the chiral
limit, we observe a significant violation of this relation.Comment: 42 pages, Revised March 1998, REVTeX, 30 eps figures, uses psfig.st