Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)πDecays in the PQCD Approach
Abstract
In the two-quark model supposition for
K
∗
0
(1430)
, the branching ratios and the direct CP-violating asymmetries for decays
B
¯
0
s
→
K
∗0
0
(1430)
π
0
,
K
∗+
0
(1430)
π
−
are studied by employing the perturbative QCD factorization approach. We find that although these two decays are both tree-dominated, the ratio of their penguin to tree contributions are very different: there is only a few percent for the decay
B
¯
0
s
→
K
∗+
0
(1430)
π
−
, while about 37% in scenario I, even 51% in scenario II for the decay
B
¯
0
s
→
K
∗0
0
(1430)
π
0
. It results that these two decays have very different values in the branching ratios and the direct CP asymmetries. The branching ratio of the decay
B
¯
0
s
→
K
∗+
0
(1430)
π
−
is at the order of
10
−5
, and its direct CP asymmetry is about (20-30)%. While for the decay
B
¯
0
s
→
K
∗0
0
(1430)
π
0
, its direct CP-violating asymmetry is very large and about 90%, but it is difficult to measure it, because the branching ratio for this channel is small and only
10
−7
order.