Estimates of Long-distance Contributions to the $B_{s}\to\gamma\gamma$ Decay

We present first calculations of new long-distance contributions to $B_s \to relevant $\gamma$ vertices are estimated using charge couplings and transition moment couplings. Within our uncertainties, we find that these long-distance contributions could be comparable to the known short-distance contributions. Since they have different Cabibbo-Kobayashi-Maskawa matrix-element factors, there may be an interesting possibility of observing CP violation in this decay.