Branching ratio and CP asymmetry of Bs → K*0(1430)ρ(ω, φ) decays in the perturbative QCD approach
In the two-quark model supposition for K* 0 (1430), which can be viewed as either the first excited state (scenario I) or the lowest lying state (scenario II), the branching ratios and the direct CP-violating asymmetries for decays B 0 s → K* 0 0 (1430)φ, K* 0 0 (1430)ω, K* 0 0 (1430)ρ 0 , K* + 0 (1430)ρ - are studied by employing the perturbative QCD factorization approach. We find the following results: (a) Enhanced by the color allowed tree amplitude with large Wilson coefficients a 1 = C 2 + C 1 /3, the branching ratio of B 0 s → K* + 0 (1430)ρ - is much larger than those of the other three decays and arrives at (3.4 +0.8 -0.7 ) × 10 -5 in scenario I, even 10 -4 order in scenario II, and its direct CP-violating asymmetry is the smallest, around 10%, so this channel might be measurable in the current LHC-b experiments, where a large number (about 10 12 ) of B mesons will be produced per year. These high statistics will make the measurement possible. (b) For the decay modes B 0 s → K* 0 0 (1430)ω, K* 0 0 (1430)ρ 0 , their direct CP-violating asymmetries are large, but it might be difficult to measure them, because their branching ratios are small and less than (or near) 10- 6 in both scenarios. For example, in scenario I, these values are B(B 0 s → K* 0 (1430)ω)= (8.2 +1.8 -1.7 ) × 10 -7 B(B 0 s → K* 0 (1430)ρ 0 ) = (9.9 +2.1 -2.0 ) × 10 -7 , A dir CP (B 0 s → K* 0 0 (1430)ω) = -24.1 +2.8 -2.5 , A dir CP (B 0 s → K* 0 0 (1430)ρ 0 ) = 26.6 +2.5 -2.5 . (c) For the decay B 0 s → K* 0 (1430)φ, the predicted branching ratios are also small and a few times 10 -7 in both scenarios; there is no tree contribution at the leading order, so its direct CP-violating asymmetry is naturally zero.