Connecting $b\to s\mathrm{\ell }\mathrm{\ell }$ with $b\to s\nu \bar{\nu }$ and $s\to d\nu \bar{\nu }$

We discuss the consequences of deviations from the Standard Model observed in $b\to s{\mu }^{+}{\mu }^{-}$ transitions for flavour-changing neutral-current processes involving down-type quarks and neutrinos. We work within an effective field theory approach respecting the SM gauge symmetry, including right-handed currents, a flavour structure based on approximate U(2) symmetry, and assuming only SM-like light neutrinos. We discuss correlations among $B\to h_s\nu \bar{\nu }$ ($h_s=K,K^{\ast },X_s$), $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $K_L\to {\pi }^0\nu \bar{\nu }$ branching ratios in the case of linear Minimal Flavour Violation and in a more general framework.