Pattern of Lifetimes of Beauty Hadrons and Quark-Hadron Duality in Heavy Quark Expansion

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We discuss (i) the evaluation of the expectation values of four-quark operators assuming that the heavy quark expansion for $b$ sector converges at the third order in $1/m_Q$, and (ii) the estimation of the duality breaking short distance nonperturbative corrections to the parton decay rate. We finally point out the implications of the result obtained for the assumption of quark-hadron duality in heavy quark expansion.
Talk given at IV Workshop on Continuous Advances in QCD, at Theoretical Physics Institute, University of Minnesota, Minneapolis, USA during May 12-14, 2000

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