A note on spectator effects and quark-hadron duality in inclusive beauty decays

Abstract

In this paper, we evaluate the expectation values of four-quark operators for the inclusive beauty decays from the differences in the inclusive total decay rates, assuming that the heavy quark expansion converges at $O(1/m^3)$. The obtained expectation values yeilds the ratio $\tau ({\Lambda }_b)/\tau (B)$ close to the experimental onee. We further point out that the quark-hadron duality violation would be rather small allowing predictions of inclusive quantities.

5 pages, typos corrected, version to be published in PL B

References in corpus (7)

• Spectator Effects in Inclusive Decays of Beauty Hadrons
• B Decays and the Heavy-Quark Expansion
• Enhancement of the ${\Lambda }_b$ decay rate
• Role of Four-Quark Operators in the Inclusive ${\Lambda }_b$ Decays
• Renormalons as a Bridge between Perturbative and Nonperturbative Physics
• Relations between inclusive decay rates of heavy baryons
• Reanalysis of the Four-Quark Operators Relevant to Λ_b Lifetime from QCD Sum Rule

Cited by in corpus (1)

• On the short distance nonperturbative corrections in heavy quark expansion