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Factorization and Shape-Function Effects in Inclusive B-Meson Decays

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arxiv hep-ph/0402094 v3 pith:6XGCORNI submitted 2004-02-09 hep-ph

S. W. Bosch , B. O. Lange , M. Neubert , G. Paz (Cornell University) This is my paper · ORCID
classification hep-ph
keywords hadronicenergyexpressionsfunctioninvariantlambdalargemass
verification ladder T0 review T1 audit T2 compute T3 formal
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Using methods of effective field theory, factorized expressions for arbitrary B -> X_u l nu decay distributions in the shape-function region of large hadronic energy and moderate hadronic invariant mass are derived. Large logarithms are resummed at next-to-leading order in renormalization-group improved perturbation theory. The operator product expansion is employed to relate moments of the renormalized shape function with HQET parameters such as m_b, Lambda(bar) and lambda_1 defined in a new physical subtraction scheme. An analytic expression for the asymptotic behavior of the shape function is obtained, which reveals that it is not positive definite. Explicit expressions are presented for the charged-lepton energy spectrum, the hadronic invariant mass distribution, and the spectrum in the hadronic light-cone momentum P_+ = E_H - P_H. A new method for a precision measurement of |V_{ub}| is proposed, which combines good theoretical control with high efficiency and a powerful discrimination against charm background.

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Cited by 5 Pith papers

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