$B_s(B_d)\to \gamma \nu \bar{\nu }$ }

Abstract

We study the loop induced rare decays $B_s(B_d)\to \gamma \nu \bar{\nu }$ within the standard model. Both constituent quark model and pole model are used and the branching ratios turn out to be of the orders of $10^{-8}$ for $B_s\to \gamma \nu \bar{\nu }$ and $10^{-9}$ for $B_d\to \gamma \nu \bar{\nu }$. These processes can be served to determine the decay constants of $B_s$ and $B_d$.

Comments: Latex file, 8 pages, 3 ps figures, submitted to Phys. Lett. B