Charmless $B \to PP $ decays and the new physics effects in the minimal supergravity model

Abstract

By employing the QCD factorization approach, we calculate the new physics contributions to the branching radios of the two-body charmless $ B \to PP$ decays in the framework of the minimal supergravity (mSUGRA) model. Within the considered parameter space, we find that (a) the supersymmetric (SUSY) corrections to the Wilson coefficients $C_k$ ($k=3-6$) are very small and can be neglected safely, but the leading order SUSY contributions to $C_{7\gamma}(M_W)$ and $C_{8g}(M_W)$ can be rather large and even change the sign of the corresponding coefficients in the standard model; (b) the possible SUSY contributions to those penguin-dominated decays in mSUGRA model can be as large as $30-50%$; (c) for the well measured $B \to K \pi$ decays, the significant SUSY contributions play an important rule to improve the consistency of the theoretical predictions with the data; (d) for $B \to K \eta'$ decays, the theoretical predictions of the corresponding branching ratios become consistent with the data within one standard deviation after the inclusion of the large SUSY contributions in the mSUGRA model.