QUARK-HADRON DUALITY VIOLATIONS AND HIGHER-ORDER 1/M B CORRECTIONS IN INCLUSIVE SEMILEPTONIC B DECAYS

Quark-hadron duality violations and higher-order 1/m b corrections in inclusive semileptonic B decays

Quark-hadron duality violations and higher-order 1/m b corrections in inclusive semileptonic B decays

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Abstract The theoretical description and data for inclusive semileptonic B decays have reached incredible precision.This motivated us to re-animate the flexcon reverse osmosis water storage tank discussion of possible Quark-Hadron Duality violations.There seems that there is currently no evidence of a failure of the Heavy Quark Expansion (HQE) used to compute observables for these decays.However, we might arrive at a point where an asymptotic behaviour of the HQE would limit a further increase of precision.

We discuss this possibility and suggest a simple model, which can be used to study the effects of higher orders in the 1/m b expansion and possible quark-hadron duality violations.We devise observables sensitive only to such higher-order effects to test the behaviour of the HQE.Using these observables we obtain a first verona wig estimate of possible quark-hadron duality violations using the measured q 2 moments.

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