Study of theq2dependence ofB→πlνand ofB→ρ(ω)lνand extraction of|Vub|

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Abstract

We report on determinations of $|{V}_{\mathrm{ub}}|$ resulting from studies of the branching fraction and ${q}^{2}$ distributions in exclusive semileptonic B decays that proceed via the $\stackrel{\ensuremath{\rightarrow}}{b}u$ transition. Our data set consists of the $9.7\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ meson pairs collected at the $\ensuremath{\Upsilon}(4S)$ resonance with the CLEO II detector. We measure $\mathcal{B}{(B}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ensuremath{-}}{\mathcal{l}}^{+}\ensuremath{\nu})=(1.33\ifmmode\pm\else\textpm\fi{}0.18\ifmmode\pm\else\textpm\fi{}0.11\ifmmode\pm\else\textpm\fi{}0.01\ifmmode\pm\else\textpm\fi{}0.07)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ and $\mathcal{B}{(B}^{0}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{\ensuremath{-}}{\mathcal{l}}^{+}\ensuremath{\nu})=(2.17\ifmmode\pm\else\textpm\fi{}{0.34}_{\ensuremath{-}0.54}^{+0.47}\ifmmode\pm\else\textpm\fi{}0.41\ifmmode\pm\else\textpm\fi{}0.01)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4},$ where the errors are statistical, experimental systematic, systematic due to residual form-factor uncertainties in the signal, and systematic due to residual form-factor uncertainties in the cross-feed modes, respectively. We also find $\mathcal{B}{(B}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{\mathcal{l}}^{+}\ensuremath{\nu})=(0.84\ifmmode\pm\else\textpm\fi{}0.31\ifmmode\pm\else\textpm\fi{}0.16\ifmmode\pm\else\textpm\fi{}0.09)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4},$ consistent with what is expected from the $\stackrel{\ensuremath{\rightarrow}}{B}\ensuremath{\pi}\mathcal{l}\ensuremath{\nu}$ mode and quark model symmetries. We extract $|{V}_{\mathrm{ub}}|$ using light-cone sum rules for $0<~{q}^{2}<16{\mathrm{GeV}}^{2}$ and lattice QCD for $16{\mathrm{GeV}}^{2}<~{q}^{2}<{q}_{\mathrm{max}}^{2}.$ Combining both intervals yields $|{V}_{\mathrm{ub}}|=(3.24\ifmmode\pm\else\textpm\fi{}0.22\ifmmode\pm\else\textpm\fi{}{0.13}_{\ensuremath{-}0.39}^{+0.55}\ifmmode\pm\else\textpm\fi{}0.09)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ for $\ensuremath{\pi}\mathcal{l}\ensuremath{\nu},$ and $|{V}_{\mathrm{ub}}|=(3.00\ifmmode\pm\else\textpm\fi{}{0.21}_{\ensuremath{-}0.35\ensuremath{-}0.38}^{+0.29+0.49}\ifmmode\pm\else\textpm\fi{}0.28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ for $\ensuremath{\rho}\mathcal{l}\ensuremath{\nu},$ where the errors are statistical, experimental systematic, theoretical, and \ensuremath{\rho}l\ensuremath{\nu} form-factor shape, respectively. Our combined value from both decay modes is $|{V}_{\mathrm{ub}}|=(3.17\ifmmode\pm\else\textpm\fi{}{0.17}_{\ensuremath{-}0.17\ensuremath{-}0.39}^{+0.16+0.53}\ifmmode\pm\else\textpm\fi{}0.03)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}.$

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