Measurements of the Branching Fraction and Polarization in B+→ρ+K*0 Decays

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We present the results of a study of the charmless vector-vector decay ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{+}{K}^{*0}$, based on $253\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of data collected with the Belle detector at the KEKB asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider. We obtain the branching fraction $\mathcal{B}({B}^{+}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{+}{K}^{*0})=[8.9\ifmmode\pm\else\textpm\fi{}1.7(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}1.2(\mathrm{syst})]\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$. We also perform a helicity analysis of the $\ensuremath{\rho}$ and ${K}^{*}$ vector mesons, and obtain the longitudinal polarization fraction ${f}_{L}({B}^{+}\ensuremath{\rightarrow}{\ensuremath{\rho}}^{+}{K}^{*0})=0.43\ifmmode\pm\else\textpm\fi{}0.11(\mathrm{stat}{)}_{\ensuremath{-}0.02}^{+0.05}(\mathrm{syst})$.

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