Reviews unitarity bounds for B-meson form factors, shows standard methods apply rigorously only to B→π, develops GG parametrization for general cases, and delivers combined-analysis predictions with public supplementary material.
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abstract
The angles of the CKM unitarity triangle are now known well enough to allow a determination of its sides from global fits, with good accuracy. Assuming that new physics does not affect the angles, UTfit and CKMfitter find $|V_{ub}| = (3.50\pm 0.18)\times 10^{-3}$. Using this result, and new high-precision data on the spectrum of $B\to\pi \ell\nu$ decays from BaBar, we find $|V_{ub}| f_+(0) = (9.1\pm 0.7)\times 10^{-4}$ and $f_+(0) = 0.26\pm 0.02$, with $f_+$ the $B\to\pi$ weak transition form factor. These results are {\em completely model-independent}. We compare them to theoretical calculations from lattice and QCD sum rules on the light-cone.
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Unitarity bounds and form-factor predictions for $B$-meson decays
Reviews unitarity bounds for B-meson form factors, shows standard methods apply rigorously only to B→π, develops GG parametrization for general cases, and delivers combined-analysis predictions with public supplementary material.