New physics effects in $R(K^{(\ast )})$, $B_s\to {\mu }^{+}{\mu }^{-}$, and $B^{+}\to K^{+}\nu \bar{\nu }$

We analyze possible new physics (NP) effects on $b\to s$ transition processes, $R(K^{(\ast )})$, $B_s\to {\mu }^{+}{\mu }^{-}$, and $B^{+}\to K^{+}\nu \bar{\nu }$ decays. Though recent data for $R(K^{(\ast )})$ and $\mathrm{B}\mathrm{r}(B_s\to {\mu }^{+}{\mu }^{-})$ are compatible with the standard model (SM), there are still rooms for NP beyond the SM. Especially $\mathrm{B}\mathrm{r}(B^{+}\to K^{+}\nu \bar{\nu })$ is measured to exceed the theoretical predictions. We parameterize the NP effects in a generic way with explicit NP scale $M_{\mathrm{N}\mathrm{P}}$ and some possible powers of it. For reasonable ranges of NP fermionic couplings we find a window of $3.17\mathrm{T}\mathrm{e}\mathrm{V}\le M_{\mathrm{N}\mathrm{P}}\le 14.9\mathrm{T}\mathrm{e}\mathrm{V}$ for new particles. When including $\mathrm{B}\mathrm{r}(B^{+}\to K^{+}{\mu }^{+}{\mu }^{-})$ and the angular observable $P_5^{\mathrm{\prime }}(B^{+}\to K^{\ast +}{\mu }^{+}{\mu }^{-})$ we have a wider range of the window. Implications of our analysis about specific NP models are discussed.