Semi-leptonic form-factors from lattice qcd

Abstract

We present results for semi-leptonic form-factors obtained on a statistical sample of $66$ $32^3\times 64$ lattices at $\beta =6.0$ using quenched Wilson fermions. We find $f_{+}^{D\to Kl\nu }(q^2=0)=0.73\pm 0.06$, $A_2/A_1(D\to K^{\ast }l\nu )=0.72\pm 0.22$, $V/A_1(D_s\to \varphi l\nu )=1.91\pm 0.04$, and $A_2/A_1(D_s\to \varphi l\nu )=0.68\pm 0.09$, where the error estimate includes statistical errors and errors due to extrapolation to $q^2=0$ and to physical values of $(m_u+m_d)/2$ and $m_s$. The remaining sources of systematic errors are those due to $O(a)$ discretization errors and those due to quenching, which our results indicate may be small. We also comment on the validity of pole-dominance in these form-factors. Source available from http://nqcd.lanl.gov/Lattice_QCD/papers/dpf94/

This self contained PS file is based on the talk by R. Gupta at DPF94. Los Alamos Preprint Number LAUR-94-3079