Direct CP violation in multi-body $B$ decays with the $a_0^0(980)$--$f_0(980)$ mixing

Abstract

We predict that the $a_0^0(980)$-$f_0(980)$ mixing would lead to large CP violation. We calculate the localized direct CP asymmetry in the decays $B^{\pm }\to f_0(980)[a_0^0(980)]{\pi }^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ via the $a_0^0(980)$-$f_0(980)$ mixing mechanism based on the hypothetical $q\bar{q}$ structures of $a_0^0(980)$ and $f_0(980)$ in the QCD factorization. It is shown that there is a peak for CP violation, which could be as large as 58%, when the invariance mass of $\pi \pi$ is near the masses of $a_0^0(980)$ and $f_0(980)$. Since the CP asymmetry is sensitive to the $a_0^0(980)$-$f_0(980)$ mixing, measuring the CP violating parameter in the aforementioned decays could provide a new way to verify the existence of the $a_0^0(980)$-$f_0(980)$ mixing and be helpful in clarifying the configuration nature of the light scalar mesons.

arXiv comment12 pages, 2 figures; accepted by Phys. Rev. D

References in corpus (7)

• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Measurement of CP violation in the phase space of $B^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$ and $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays
• Revisiting charmless hadronic B decays to scalar mesons
• Observation of $a_0^0(980)$-$f_0(980)$ Mixing
• Consequences of the BaBar e^+e^- --> pi^+pi^- Measurement for the Determination of Model-Dependent rho-omega Mixing Effects in Pi_{ρω}(m_ρ^2) and (g-2)_mu
• Manifestations of the $a_0^0(980)-f_0(980)$ mixing in $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_S^0\eta {\pi }^0$ decays
• Measurements of branching fraction and direct $CP$ asymmetry in $B^{\pm }\to K_S^0{K}_S^0{K}^{\pm }$ and a search for $B^{\pm }\to K_S^0{K}_S^0{\pi }^{\pm }$