Pure annihilation type decays B~0→Ds~- (K2~*)~+ and Bs →a2 in the perturbative QCD approach

We calculate the branching ratios of pure annihilation type decays B 0 →Ds~- (K2~*)~+ and Bs → a2using the perturbative QCD approach based on k T factorization. The branching ratios are predicted to be (60.6 +17.3+4.3+3.2 16.5 10.4 2.1 )× 10-6for B~0 →Ds~- (K2~*)~+ , (1.1 +0.4+0.1+0.1-0.4-0.2-0.1 )×10-6 for Bs → ~0a2~0 and (2.3 +0.8+0.2+0.1-0.8-0.4-0.1 )×10-6 for Bs→D~-a2~+ . They are large enough to be measured in the ongoing experiment. Due to the shortage of contributions from penguin operators, there are no direct CP asymmetries for these decays in the Standard Model. We also derive simple relations among these decay channels to reduce theoretical uncertainties for the experiments, to test the accuracy of theory, and to search for a signal of new physics.