Subleading Shape-Function Effects and the Extraction of |V_ub|
Keith S. M. Lee
TL;DR
This paper develops formulae connecting moments of B meson decays to extract |V_ub| with reduced theoretical uncertainties, incorporating power corrections and avoiding dependence on shape functions.
Contribution
It introduces model-independent formulae relating B decay moments, including power corrections, to improve the extraction of |V_ub| from experimental data.
Findings
Derived formulae relating B -> Xu l nu and B -> Xs gamma moments.
Formulated analogous relations involving B -> Xs l+ l- decays.
Enabled subleading order, model-independent determination of |V_ub|/|V_tb V_ts*|.
Abstract
We derive a class of formulae relating moments of B -> Xu l nu to B -> Xs gamma in the shape function region, where m_X^2 ~ m_b Lambda_QCD. We also derive an analogous class of formulae involving the decay B -> Xs l+ l-. These results incorporate Lambda_QCD/m_b power corrections, but are independent of leading and subleading hadronic shape functions. Consequently, they enable one to determine |V_ub|/|V_tb V_ts*| to subleading order in a model-independent way.
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