Impact of new invisible particles on $B\to K^{(\ast )}{E}_{\mathrm{miss}}$ observables

Abstract

Motivated by a recent Belle~II measurement that suggests an excess in the rare decay $B\to K{E}_{\mathrm{miss}}$, and building upon our recent differential decay rate likelihood analysis of the existing experimental information, we investigate possible new physics (NP) scenarios in which light invisible states participate in flavour-changing $b\to s$ transitions. In particular, we consider the total and differential $B\to K^{\ast }{E}_{\mathrm{miss}}$ decay rates and $K^{\ast }$ polarisation effects in each NP scenario preferred by the $B\to K{E}_{\mathrm{miss}}$ measurement. We show that future measurements of these $B\to K^{\ast }{E}_{\mathrm{miss}}$ observables will offer decisive discrimination among the different NP explanations. Our results highlight the strong complementarity of the rare semi-invisible $b$-hadron decay observables, and underline the importance of analysing their momentum transfer spectra when probing extensions of the Standard Model that feature new light degrees of freedom.

14 pages, 10 figures

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