Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$

Abstract

We propose a new parametrization of the $B\to \pi$ vector form factor, $f_{+}(q^2)$, as an expansion in powers of a conformal mapping variable, which satisfies unitarity, analyticity and perturbative QCD scaling. The unitarity constraint is used also for defining the systematic error of the expansion. We fit with the new parametrization the available experimental and theoretical information on exclusive $B\to \pi l\nu$ decays, making a conservative estimate of the effects of correlations in the systematic and statistical errors of the lattice results. With four parameters to describe $f_{+}(q^2)$, the systematic error is negligible in the whole semileptonic region. We also obtain $|V_{ub}|=(3.54\pm 0.30)\times 10^{-3}$ where, in our approach, the uncertainty is predominantly statistical.

Slightly different results after correcting a bug in the numerical code implementing the correlation matrix for the lattice data; new figures

References in corpus (10)

• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Light-cone sum rules for $B\to \pi$ form factors revisited
• Measurement of the B0 --> pi l nu Form-Factor Shape and Branching Fraction, and Determination of |Vub| with a Loose Neutrino Reconstruction Technique
• Measurements of branching fractions and $q^2$ distributions for $B\to \pi \ell \nu$ and $B\to \rho \ell \nu$ Decays with $B\to D^{(\ast )}\ell \nu$ Decay Tagging
• A Study of Exclusive Charmless Semileptonic B Decay and |V_ub|
• |V_ub| from UTangles and B->pi l nu
• Measurement of the B -> pi l nu Branching Fraction and Determination of |Vub| with Tagged B Mesons
• |Vub| from exclusive semileptonic B to pi decays revisited
• Extracting |V(ub)| from B->pi l nu Decays Using a Multiply-subtracted Omnes Dispersion Relation
• |Vub| from Exclusive Semileptonic B to pi Decays

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