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