When Energy Goes Missing: New Physics in $b\to s\nu\nu$ with Sterile Neutrinos

Abstract

Belle II recently reported the first measurement of $B^+\to K^++\mathrm{inv}$, which is $2.8\sigma$ above the Standard Model prediction. We explore the available parameter space of new physics within Standard Model effective field theory extended by sterile neutrinos ($\nu$SMEFT) and provide predictions for the other $B\to K^{(\star)}+\mathrm{inv}$ decay modes and invisible $B_s$ decays. We also briefly comment on charged current decays $B\to D^{(\star)}\ell\bar\nu$ and possible ultraviolet completions of the relevant $\nu$SMEFT operators.