Lattice analysis of semi-leptonic form factors

Abstract

We present preliminary results from simulations done on 170 $32^3\times 64$ lattices at $\beta =6.0$ using quenched Wilson fermions. This talk focuses on the $Q^2$ behavior of the form-factors, extrapolation in quark masses, dependence on renormalization scheme, and comparison with heavy-quark effective theory (HQET). Even though we cannot estimate errors due to quenching and discretization, our results are consistent with experimental results for $D$ decays. We present results for the Isgur-Wise function and estimate ${\xi }^{\prime }(w=1)=0.97(6)$.

4 pages. Talk presented at Lattice 95. Latex. Modified "axis" source for figures also included