Implications of $b\rightarrow s\gamma$ for CP Violation in Charged Scalar Exchange

Abstract

In models of three or more scalar doublets, new CP violating phases appear in charged scalar exchange. These phases affect CP asymmetries in neutral $B$ decays, even if Natural Flavor Conservation holds. The recent upper bound on the decay $b\rightarrow s\gamma$ constrains the effect to be at most of order a few percent. Modifications of constraints on the CKM parameters open an interesting new region in the $\sin2\alpha-\sin2\beta$ plane even in the absence of new phases.