A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\toπlν$ form factors

Details A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\toπlν$ form factors A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\toπlν$ form factors

2004-08-25

arxiv.org/abs/hep-lat/0408037v2

Phys.Rev. D71 (2005) 034506

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 13 figures

Scientific paper

10.1103/PhysRevD.71.034506

We propose a method to determine the CKM matrix element $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bound on the form factors for $B\to \pi l\nu$ decay. Since the lattice calculation of the $B\to \pi l\nu$ form factor is limited to the large $q^2$ regime, only the experimental data in a limited kinematic range can be used in a conventional method. In our new method which exploits the statistical distributions of the dispersive bound proposed by Lellouch, we can utilize the information of the global $q^2$ dependence for all kinematic range. As a feasibility study we determine $|V_{ub}|$ by combining the form factors from quenched lattice QCD, the dispersive bounds, and the experimental data by CLEO. We show that the accuracy of $|V_{ub}|$ can be improved by our method.

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