Branching Fractions and Direct CP Asymmetries of $\bar B_s ^0 \to K^0 h^+h^{\prime -}(h^{(\prime)}=K,\pi)$ Decays

Understand

Motivated by the recent LHCb collaboration measurements of charmless three-body decays of $\bar B_s^0$ meson, we calculate the branching fractions of $\bar B_s ^0 \to K^0 \pi^+\pi^-$, $\bar B_s ^0 \to K^0 K^+K^-$, $\bar B_s ^0 \to K^0 \pi^+K^-$ and $\bar B_s ^0 \to \bar K^0 K^+\pi^-$ decay modes using the factorization approach.

• Both the resonant and nonresonant contributions are studied in detail.
• For the decays $\bar B_s ^0 \to K^0 \pi^+\pi^-$ and $\bar B_s ^0 \to K^0 K^+K^-$, our results agree well with experimental data, and the former is dominated by the $K^*$, while the latter one is dominated by the nonresonant contribution.
• Considering the flavor SU(3) symmetry violation, the sum of branching fractions of $\bar B_s ^0 \to K^0 \pi^+K^-$ and $\bar B_s ^0 \to \bar K^0 K^+\pi^-$ could accommodate the data well too.