Imprint of SUSY in Radiative B -Meson Decays

We study supersymmetric (SUSY) effects on C-7(mu b) and C'(7)(mu b) which are the Wilson coefficients (WCs) for b -> s gamma at b-quark mass scale mu(b) and are closely related to radiative B-meson decays. The SUSY-loop contributions to C-7(mu(b)) and C'(7)(mu(b)) are calculated at leading order (LO) in the Minimal Super-symmetric Standard Model (MSSM) with general quark-flavor violation (QFV). For the first time we perform a systematic MSSM parameter scan for the WCs C-7(mu(b)) and C'(7)(mu(b)) respecting all the relevant constraints, i.e., the theoretical constraints from vacuum stability conditions and the experimental constraints, such as those from K- and B-meson data and electroweak precision data, as well as recent limits on SUSY particle masses and the 125 GeV Higgs boson data from LHC experiments. From the parameter scan we find the following: (1) The MSSM contribution to Re(C-7(mu(b))) can be as large as similar to +/- 0.05, which could correspond to about 3 sigma significance of New Physics (NP) signal in the future LHCb and Belle II experiments. (2) The MSSM contribution to Re(C'(7)(mu(b))) can be as large as similar to-0.08, which could correspond to about 4 sigma significance of NP signal in the future LHCb and Belle II experiments. (3) These large MSSM contributions to the WCs are mainly due to (i) large scharm-stop mixing and large scharm/stop involved trilinear couplings T-U23, T-U32 and T-U33, (ii) large sstrange-sbottom mixing and large sstrange-sbottom involved trilinear couplings T-D23, T-D32 and T-D33 and (iii) large bottom Yukawa coupling Y-b for large tan beta and large top Yukawa coupling Y-t. In case such large NP contributions to the WCs are really observed in the future experiments at Belle II and the LHCb Upgrade, this could be the imprint of QFV SUSY (the MSSM with general QFV) and would encourage to perform further studies of the WCs C-7(')(mu(b)) and C-7(MSSM)(mu(b)) at higher order (NLO/NNLO) level in this model.