$b \rightarrow s γ$ and $B_s \rightarrow μ^+ μ^-$ in Extended Technicolor Models

Abstract

The rates of the rare flavor-changing processes, $b \rightarrow s γ$ and $B_s \rightarrow μ^+ μ^-$ are estimated in extended technicolor models with and without a GIM mechanism. We find the $b \rightarrow s γ$ 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 $B_s \rightarrow μ^+ μ^-$, 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.