First Lattice Study of the Form Factors A_0 and A_3 in the Decay Bbar^0 to rho^+ l^- nubar_l

Abstract

We report on a lattice calculation of the form factors A_0 and A_3 for the pseudoscalar to vector meson semileptonic decay Bbar^0 to rho^+ l^- nubar_l. We find that resonant (or pole-type) contributions alone are unable to describe these two form factors simultaneously. For the quantity A_0(q^2=0), which is important phenomenologically for the determination of |Vub|, we extract a range of values, A_0(q^2=0) = (0.16--0.35) +0.09-0.06, where the range is due to systematic uncertainty and the quoted error is statistical. We have also determined A_2(q^2=0) = 0.28 +0.09-0.06 +0.04-0.05.

arXiv comment14 pages LaTeX209 with 5 figures from 11 encapsulated PostScript files, using epsf.sty. Also available from http://wwwhep.phys.soton.ac.uk/hepwww/papers/shep9601/

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• Lattice-Constrained Parametrizations of Form Factors for Semileptonic and Rare Radiative B Decays
• Charming-penguin enhanced B decays
• $B\to \rho$ transition form factors within the QCD light-cone sum rules and the $\rho$-meson leading-twist distribution amplitude
• Charm and Bottom Semileptonic Decays
• The $B\to \rho$ helicity form factors within the QCD light-cone sum rules
• Weak Decay Process of $B\to \rho \ell {\bar{\nu }}_{\ell }$: A Varying External Field Approach in QCD Sum Rules
• A New Model-independent Method of Determining |V_{ub}/V_{cb}|