Long distance contribution to $B^- \to K^- K^- π^+$, - a searching ground mode for new physics

Abstract

The decay $B^- \to K^- K^- π^+$ has been sugested as a test for minimal supersymmetric standard model and for supersymmetric models with R-parity violating couplings, in view of its extreme smallnesss in the standard model. We calculate two long distance contributions to this decay, that associated with $DD$ and $Dπ$ intermediate states and that induced by virtual $D$, $π$ mesons. The branching ratio due to these contributions is $6 \times 10^{-12}$, which is somewhat smaller than the standard model short distance result, leaving this decay free for the search of new physics.