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

TL;DR

This paper predicts CP-averaged branching ratios and CP asymmetries for charmless B_q decays into scalar K_0^*(1430) pairs using pQCD, aiding understanding of the scalar meson's structure and QCD effects.

Contribution

It provides the first detailed pQCD-based predictions for B_q to K_0^*(1430) pair decays, testing the two-quark structure hypothesis of the scalar meson.

Findings

Branching ratios range from 10^{-6} to 10^{-4} in the SM.

Large direct CP asymmetries in certain decay modes in Scenario 1.

No direct CP violation in specific pure penguin or tree decay channels.

Abstract

Based on the assumption of two-quark structure of the scalar $K_0^*(1430)$, the CP-averaged branching ratios(BRs) and CP-violating asymmetries of charmless hadronic $B_q(q=u,d,s,c) \to \kst \kstb$ 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 $B_{q} \to \kst \kstb$ decays in both scenarios vary in the range of $10^{-6} \sim 10^{-4}$ in the SM; (2) the magnitudes of $\acp^{\rm dir}(B_u \to {\kst}^+ {\kstb}^0)$ and $\acp^{\rm dir}(B_{d,s} \to {\kst}^+ {\kst}^-)$ in Scenario 1 are much larger than those in Scenario 2 correspondingly; (3) there are no direct CP violations in $B_{d,s} \to {\kst}^0 {\kstb}^0$ and $B_c \to {\kst}^+ {\kstb}^0$ 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 $\kst$ and help us to understand its physical properties and the involved QCD dynamics.