Eur. Phys. J. C (2006) 47: 815-831
https://doi.org/10.1140/epjc/s2006-02602-y

Theoretical Physics

The rare decays B→K^(*)K̄^(*) and R-parity violating supersymmetry

¹ Institute of Particle Physics, Huazhong Normal University, Wuhan, Hubei, 430070, P.R. China
² Department of Physics, Henan Normal University, XinXiang, Henan, 453007, P.R. China

^* e-mail: ruminwang@henannu.edu.cn

Received: 12 March 2006
Published online: 7 July 2006

Abstract

We study the branching ratios, the direct CP asymmetries in B→K^(*)K̄^(*) decays and the polarization fractions of B→K^*K̄^* decays by employing the QCD factorization in the minimal supersymmetric standard model with R-parity violation. We derive the new upper bounds on the relevant R-parity violating couplings from the latest experimental data of B→K^(*)K̄^(*), and some of these constraints are stronger than the existing bounds. Using the constrained parameter spaces, we predict the R-parity violating effects on the other quantities in B→K^(*)K̄^(*) decays which have not been measured yet. We find that the R-parity violating effects on the branching ratios and the direct CP asymmetries could be large; nevertheless their effects on the longitudinal polarizations of B→K^*K̄^* decays are small. Near future experiments can test these predictions and shrink the parameter spaces.