Heavy Flavours Leptonic and Semi-leptonic Decays on the Lattice

Abstract

We present some results of the {\bf{ELC}} (European Lattice Collaboration) study of leptonic and semi-leptonic decays of heavy-light mesons. Results on the decay constants $f_D,f_{D_s}$ and $f_B,f_{B_s}$, the semi-leptonic form factors of $D⟶K(K^{\ast })$ and some preliminary estimates of form factors relevant for the $B⟶\pi ,\rho$ are summarized. The $1/M$ corrections to asymptotic scaling laws are discussed.

Comments: 7 pages, talk given at the XXIXth Rencontre de Moriond, ``QCD and High Energy Hadronic Interactions'', march 1994, Méribel France, preprint LPTHE Orsay-94/57