The influence of invisible light particles on ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }{E}_{\mathrm{m}\mathrm{i}\mathrm{s}\mathrm{s}}$

In this work, we study the contribution of invisible light particles to ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }{E}_{\mathrm{m}\mathrm{i}\mathrm{s}\mathrm{s}}$, particularly the three-body decays ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }\phi \bar{\phi }$ and ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }\psi \bar{\psi }$. The differential branching ratio of ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }{E}_{\mathrm{m}\mathrm{i}\mathrm{s}\mathrm{s}}$ and the $q^2$-dependent longitudinal polarization asymmetry of $\mathrm{\Lambda }$ in scenarios explaining the Belle II excess are presented. In the chiral basis, we investigate the correlations between $\mathcal{B}(B\to K{E}_{\mathrm{m}\mathrm{i}\mathrm{s}\mathrm{s}})$ and $\mathcal{B}({\mathrm{\Lambda }}_b\to \mathrm{\Lambda }{E}_{\mathrm{m}\mathrm{i}\mathrm{s}\mathrm{s}})$, as well as between $\mathcal{B}(B\to K{E}_{\mathrm{m}\mathrm{i}\mathrm{s}\mathrm{s}})$ and $P_L^{\mathrm{\Lambda }}$, in eight distinct new physics scenarios. We find that the $P_L^{\mathrm{\Lambda }}$ can be used to distinguish the chirality of the hadronic current part in the effective operators, which is similar to the cases in the two-body decays ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }\phi$ and ${\mathrm{\Lambda }}_b\to \mathrm{\Lambda }V$.