Search for New Physics Signals via Doubly Weak B Decays

The doubly weak $b\to dd{\bar s}$ and $b\to ss{\bar d}$ processes are highly suppressed in the standard model that offer the unique opportunity to explore new physics signals. The wrong sign decay $\smash{\overline B}^0\to K^+π^-$ mediated by the $b\to dd{\bar s}$ transition can be distinguished from the penguin decay $\smash{B}^0\to K^+π^-$, through time dependent measurement in experiments. We consider a model independent analysis of $\smash{\overline B}^0\to K^+π^-$ decay, within the perturbative QCD approach and explore various effective dimension-6 operators, in which large effects are possible. We also study the doubly weak exclusive process in two example models namely Randall-Sundrum model with custodial protection and the bulk-Higgs Randall-Sundrum model. A large and significant enhancement of the branching ratio, in comparison to the standard model, is observed after satisfying all the relevant constraints on the parameter spaces of these models, which requires to be searched in future experiments.