Heavy Flavours Leptonic and Semi-leptonic Decays on the Lattice

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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 $D\longrightarrow K (K^*)$ and some preliminary estimates of form factors relevant for the $B\longrightarrow π, ρ$ are summarized. The $1/M$ corrections to asymptotic scaling laws are discussed.
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

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