Belle II status and prospects for studies of neutral currents

Abstract: The Belle II experiment at the SuperKEKB energy-asymmetric electron-positron collider is a substantial upgrade of the B factory facility at the Japanese KEK laboratory. Belle II collected a sample of $362~\mathrm{fb}^{-1}$ at the $\Upsilon(4S)$ resonance between 2019 and 2022, with a maximum peak luminosity of $4.7 \times 10^{34} \mathrm{cm}^{-2}s^{-1}$. Belle II is currently facing a long shutdown period, required for several upgrades of the detector and the collider. Data taking will resume at the end of 2023. We report the recent measurements which involve neutral current transitions in $B$ meson decays. In particular, we present the current status and future prospects for the branching fractions measurements of the radiative decays $B\to K^*\gamma$ and the fully inclusive $B\to X_s\gamma$, the search for $B^+\to K^+\nu\bar \nu$ decays, the measurement of the branching fractions of $B\to J/\psi(\to \ell\ell)K$ and $B\to K^*\ell\ell$. Finally, we show the perspectives of the search for $B\to K^{*}\tau\tau$ and the searches of lepton flavor violating channels $B\to K^{(*)}\ell\ell'$, with $\ell=e, \mu, \tau$.