to additional constraints on the model.The most important observables are briefly discussed in the following: Anomalous magnetic moment of the muon:(g-2)of the muon is almost or- thogonal to the di-photon rate in our setup,in contrast to what was argued in the MSSM light stau scenario with slepton mass universality [29.The reason is that the slepton masses and mixings and correspondingly g-2 can be changed without chang- ing the di-photon rate.While it can happen that there are large contributions from pseudoscalars [30,31,these contributions can always be cancelled against the slepton contributions. p-parameter:the term ASHHa breaks the custodial SU(2)L present in the MSSM and SM.In general this can cause large contributions for instance to p =1-p ()where IIzz,IIww are the self-energies of the massive vector bosons. mw mz However,the size of the contributions caused by the singlet interaction is much smaller than in the case of a triplet interaction ArHuTHa and usually save [28,32. Top decays:A light charged Higgs boson can open new decay channels of the top quark like tH+b-betv.Recent searches at the LHC put upper bounds on the BR(t->H+b)in the range of 2-3%[33,34]. Radiative b decay:a very severe constraint comes from BR(b->sy),which we will therefore discuss in a bit more detail.2 The ratio of SUSY to SM contributions can be written as [35-38 R= BRb→s9sUsY≈1-2.55△C,+1.57(AC,)2, BR(b→SY)sM (12) where AC,are the new physics contributions to the Wilson coefficient of the electro- magnetic dipole operator (in our case mainly due to the charged Higgs and chargino states).Adding to the uncertainty of the SM prediction Br(B -Xsy)sM =(3.15+ 0.23).10-4 [36,37]an intrinsic SUSY error of 0.15 as well as the error of the experi- mental world average Br(BX,)xp=(3.43+0.22).10-4[40],leads to the following 95%CL bound R=0.87,1.31 (13) 2We would like to thank U.Haisch for illuminating discussions on this point. 8to additional constraints on the model. The most important observables are briefly discussed in the following: Anomalous magnetic moment of the muon: (g − 2)µ of the muon is almost or￾thogonal to the di-photon rate in our setup, in contrast to what was argued in the MSSM light stau scenario with slepton mass universality [29]. The reason is that the slepton masses and mixings and correspondingly g − 2 can be changed without chang￾ing the di-photon rate. While it can happen that there are large contributions from pseudoscalars [30, 31], these contributions can always be cancelled against the slepton contributions. ρ - parameter: the term λSHuHd breaks the custodial SU(2)L present in the MSSM and SM. In general this can cause large contributions for instance to δρ = 1 − ρ = ΠWW (0) m2 W − ΠZZ (0) m2 Z where ΠZZ, ΠWW are the self-energies of the massive vector bosons. However, the size of the contributions caused by the singlet interaction is much smaller than in the case of a triplet interaction λT HuT Hd and usually save [28, 32]. Top decays: A light charged Higgs boson can open new decay channels of the top quark like t → H+b → be+ν. Recent searches at the LHC put upper bounds on the BR(t → H+b) in the range of 2-3% [33, 34]. Radiative b decay: a very severe constraint comes from BR(b → sγ), which we will therefore discuss in a bit more detail.2 The ratio of SUSY to SM contributions can be written as [35–38] R ≡ BR(b → sγ)SUSY BR(b → sγ)SM ' 1 − 2.55∆C7 + 1.57(∆C7) 2 , (12) where ∆C7 are the new physics contributions to the Wilson coefficient of the electro￾magnetic dipole operator (in our case mainly due to the charged Higgs and chargino states). Adding to the uncertainty of the SM prediction Br(B → Xsγ)SM = (3.15 ± 0.23) · 10−4 [36, 37] an intrinsic SUSY error of 0.15 as well as the error of the experi￾mental world average Br(B → Xsγ)exp = (3.43 ± 0.22)· 10−4 [40], leads to the following 95% CL bound R = [0.87, 1.31] . (13) 2We would like to thank U. Haisch for illuminating discussions on this point. 8