An improved analysis of b→sγ in supersymmetry

An improved analysis of the $b\ensuremath{\rightarrow}s+\ensuremath{\gamma}$ decay in the minimal flavor violating case is given taking into account additional contributions in the supersymmetric sector which enter in the next-to-leading-order (NLO) and are enhanced by $\mathrm{tan} \ensuremath{\beta}$ factors. Specifically, we compute a set of 20 one-loop diagrams to give the most complete analysis to date of the NLO supersymmetric corrections. These modifications are computed from the effective charged Higgs and neutral Higgs couplings involving 12 loop diagrams for the charged Higgs sector and eight loop diagrams for the neutral Higgs sector. While the computations of these corrections are available in the literature, their full forms including the complex phase dependence has not be considered. Our analysis takes account of the full allowed set of 20 one-loop diagrams and is more general since it also includes the full dependence on $CP$ phases in non universal SUGRA and MSSM models. A numerical analysis is carried out to estimate the size of the corrections to $b\ensuremath{\rightarrow}s+\ensuremath{\gamma}$. We also briefly discuss the implications of these results for the search for supersymmetry.