Abstract
The semileptonic decay B → πlνl is studied starting from a simple quark model and taking into account the effect of the B* resonance. A novel, multiply subtracted, Omnes dispersion relation has been implemented to extend the predictions of the quark model to all physical q2 values. We find |Vub| = 0.0034 ± 0.0003(exp.) ± 0.0007(theory), in good agreement with experiment.
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