A lattice study of the form factors A_{0} and A_{3} in the decay B^{0} → ϱ ^{+}l ^{}ν_{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 B^{0} → ϱ ^{+}l ^{}ν_{l}. We find that resonant (or poletype) 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  V_{ub}, we extract a range of values, A_{0}( q^{2} = 0) = (0.160.35) _{6}^{+9}, 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 _{65}^{+9+4}.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)003070
 arXiv:
 arXiv:hepph/9602201
 Bibcode:
 1996NuPhB.476..313F
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 14 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/