HLT2 exclusive selections for $B_s \to \phi\gamma$ and $B_d \to K^*\gamma$

We present the HLT2 exclusive selections for the radiative decays $B_s \to \phi\gamma$ and $B_d \to K^*\gamma$, , the description of the cuts and their performance. Assuming the nominal LHC conditions (using DC06 simulated data), the selection efficiency for $B_s \to \phi\gamma$ and $B_d \to K^*\gamma$ (on L0 and HLT1 stripped) events was found to be 92% and 77% respectively, for a background rate of 16 and 55 Hz. Assuming a lower than nominal LHC energy and visible interaction rate at LHCb (using MC09 simulated data), the selection efficiency was found to be 89% and 77% (on L0 and HLT1 stripped) $B_s \to \phi\gamma$ and $B_d \to K^*\gamma$ respectively and the total background retention of both the selections combined is estimated to be 2-3% of the trigger bandwidth.