B-->KK decays with the soft-gluon corrections
  We analyze the B->KK decays with the soft-gluon corrections by using the QCD light-cone sum rules (LCSR). Although QCD factorization approach calculates the leading order factorization parts and the radiative corrections from hard- gluon exchanges at $\alpha_{s}$ order, it is worthwhile to estimate the nonfactorizable soft-gluon contributions from all the tree and penguin diagrams systematically. Our results show that the soft-gluon effects always decrease the branching ratios and give a few percentage corrections at most in the B->KK decays. 
Lin Li, Xiangyao Wu, and Tao Huang