Charmless hadronic B_q to K_0^*(1430) \bar{K}_0^*(1430) decays in the pQCD approach

Abstract

Based on the assumption of two-quark structure of the scalar $K_0^{\ast }(1430)$, the CP-averaged branching ratios(BRs) and CP-violating asymmetries of charmless hadronic $B_q(q=u,d,s,c)\to \text{kst}\text{kstb}$ decays are studied in the standard model(SM) by employing the perturbative QCD(pQCD) factorization approach. Our predictions are the following: (1) the CP-averaged BRs for $B_q\to \text{kst}\text{kstb}$ decays in both scenarios vary in the range of $10^{-6}\sim 10^{-4}$ in the SM; (2) the magnitudes of ${\text{acp}}^{\mathrm{dir}}(B_u\to {\text{kst}}^{+}{\text{kstb}}^0)$ and ${\text{acp}}^{\mathrm{dir}}(B_{d,s}\to {\text{kst}}^{+}{\text{kst}}^{-})$ in Scenario 1 are much larger than those in Scenario 2 correspondingly; (3) there are no direct CP violations in $B_{d,s}\to {\text{kst}}^0{\text{kstb}}^0$ and $B_c\to {\text{kst}}^{+}{\text{kstb}}^0$ decays in the SM because of the pure penguin and tree topology, respectively. A measurement of our pQCD predictions at the predicted level will favor the $q\bar{q}$ structure of the scalar $\text{kst}$ and help us to understand its physical properties and the involved QCD dynamics.

Comments: 23 pages, 1 figure, references added and discussions improved