End-point region of the electron spectrum in inclusive semileptonic heavy-quark decay

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Abstract
I examine the relationship between the free-quark-decay and sum-over-exclusive-resonances pictures for the inclusive electron spectrum of semileptonic heavy-quark decay. The analysis shows that one should expect the electron spectrum to be suppressed near the end point relative to the prediction obtained from a free-quark-decay-type model which has had its end point adjusted to the physical end point. This conclusion is consistent with arguments that (up to small radiative corrections) free-quark-decay-type models are, in principle, "dual" to a sum over resonant channels.