Status of $Y=0$ Triplet Higgs with supersymmetry in the light of $\sim 125$ GeV Higgs discovery

We study the $Y=0$ triplet extended supersymmetric model in the light of the recent Higgs boson discovery. We calculate full one loop Higgs mass spectrum in this model where the possible doublet-triplet mixing is considered in the charged Higgs sector. This mixing changes the prediction of $\mathcal{B}r(B_s\to X_s \gamma)$ in this model, compared to the MSSM. The constraints from the $\sim 125$ GeV Higgs along with $\mathcal{B}r(B_s\to X_s \gamma)$ are incorporated to find out the allowed parameter space. The lower bounds on the third generation squark masses coming from 125 GeV Higgs are rather week in this scenario compared to most constrained supersymmetric scenarios, e.g. a 200 GeV squark mass is still possible.