|V_ub| from UTangles and B->pi l nu

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.

13 pages, 3 figures

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