$b\to s\gamma$ and $B_s\to {\mu }^{+}{\mu }^{-}$ in Extended Technicolor Models

Abstract

The rates of the rare flavor-changing processes, $b\to s\gamma$ and $B_s\to {\mu }^{+}{\mu }^{-}$ are estimated in extended technicolor models with and without a GIM mechanism. We find the $b\to s\gamma$ rate in ETC models with a GIM mechanism to be at most slightly larger than the standard model rate, whereas there is no significant extra model-independent contribution in other ETC scenarios. In the case of $B_s\to {\mu }^{+}{\mu }^{-}$, ETC models with a GIM mechanism can yield a rate up to two orders of magnitude bigger than that of the standard model, whereas generic ETC scenarios are likely to give a rate which is about an order of magnitude bigger than that of the standard model.

Comments: 15 pages, 1 figure (available upon request), MIT-CTP-2211, LBL-34110, UCB-PTH-93/17