Abstract
The semileptonic decay of a b quark, $\stackrel{\ensuremath{\rightarrow}}{b}\mathrm{cl}\ensuremath{\nu},$ is considered in the relativistic limit where the decay products are approximately collinear. Analytic results for the double differential lepton energy distributions are given for finite charm-quark mass. Their use for the fast simulation of isolated lepton backgrounds from heavy quark decays is discussed.
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