M.~Dorigo ; E.~Ganiev ; R.~Manfredi ; S.~Raiz ; D.~Tonelli

23 June 2022

Abstract: We report on a Belle II measurement of the branching fraction~($\mathcal{B}$), longitudinal polarization fraction ~($f_L$), and \CP~asymmetry~$\mathcal{A}_{\CP}$ of $B^+\to \rho^+\rho^0$ decays. We reconstruct $B^+\to \rho^+(\to \pi^+\pi^0(\to \gamma\gamma))\rho^0(\to \pi^+\pi^-)$ decays in a sample of SuperKEKB electron-positron collisions collected by the Belle II experiment in 2019, 2020, and 2021 at the $\Upsilon$(4S) resonance and corresponding to 190\,fb$^{-1}$ of integrated luminosity. We fit the distributions of the difference between expected and observed $B$ candidate energy, continuum-suppression variable, dipion masses, and decay angles of the resulting samples, to determine a signal yield of $345 \pm 31$ events. The signal yields are corrected for efficiencies determined from simulation and control data samples to obtain \begin{center} $\mathcal{B}(B^+ \to \rho^+\rho^0) = [23.2^{+\ 2.2}_{-\ 2.1} (\rm stat) \pm 2.7 (\rm syst)]\times 10^{-6}$, \end{center} \begin{center} $f_{\rm L} = 0.943 ^{+\ 0.035}_{-\ 0.033} (\rm stat)\pm 0.027(\rm syst)$. \end{center} \begin{center} $\mathcal{A}_{\CP}=-0.069 \pm 0.068(\rm stat) \pm 0.060 (\rm syst)$, \end{center} The results agree with known determinations. This is the first measurement of $\mathcal{A}_{\CP}$ in $\PBplus\to \Prhoplus\Prhozero$ decays reported by Belle II.

Keyword(s): Belle~II ; charmless ; phase 3