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

Abstract

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

Comments: 19 pages, 5 figures