Constraints on SUSY Gluonic Dipole Interaction from B\to K\pi Decays

Abstract

In low energy SUSY theories exchange of gluino and squark with left-right mixing can produce a large gluonic dipole interaction. In this paper we study the effects of this interaction on $B\to K\pi$ using QCD improved factorization method. The Standard Model predicts a smaller branching ratio for $B^0\to {\bar{K}}^0{\pi }^0$ than experimental measured one. We find that within the parameter space allowed from $B\to \gamma X_s$ constraint, the SUSY dipole interaction can enhance this branching ratio to agree with the experimental measurement. Combining recent data for all the four ${\bar{B}}^0\to K^{-}{\pi }^{+},{\bar{K}}^0{\pi }^0$ and $B^{-}\to K^{-}{\pi }^0,{\bar{K}}^0{\pi }^{-}$ decay modes, we find that the allowed parameter space is reduced significantly compared with that using $B\to X_s\gamma$ data alone. It is found that even with these constraints, the predictions for CP violation in these modes can be dramatically different from those of the SM predictions.

Comments: 22 pages, 22 figures. Major revise for B to K pi correction