Abstract
We present a self-consistent method for treating nonperturbative effects in inclusive nonleptonic and semileptonic decays of heavy flavour hadrons. These effects give rise to powerlike corrections ∝ 1 m Q n with n ⩾ 2. The leading correction to the semileptonic branching ratio occurs for n = 2. It is expressed in terms of the vector-pseudoscalar mass splitting: δ BR sl BR sl ≅ BR nl · 6 [ (M v 2−M p 2) m Q 2 ](c + 2−c − 2) 2N c and yields a reduction of BR sl. This nonperturbative correction contributes to the nonleptonic width with a sign opposite to that of the perturbative terms that are non-leading in 1 N c . In beauty decays the former reduces the latter by 20% whereas in charm decays they more or less cancel. This leads to a reduction of BR sl by no more than 10% in beauty decays and by a factor of roughly two in charm decays. Phenomenological models of heavy flavour decays are unable to mimic these leading corrections by a specific choice of quark masses or by invoking Fermi motion.
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