Enhanced charm CP asymmetries from final state interactions

Abstract

We show that final state interactions (FSI) within a CPT invariant two-channel framework can enhance the charge-parity (CP) violation difference between $D^0\to {\pi }^{-}{\pi }^{+}$ and $D^0\to K^{-}{K}^{+}$ decays up to the current experimental value. This result relies upon: (i) the dominant tree level diagram, (ii) the well-known experimental values for the $D^0\to {\pi }^{-}{\pi }^{+}$ and $D^0\to K^{-}{K}^{+}$ branching ratios, and (iii) the $\pi \pi \to \pi \pi$ and $\pi \pi \to KK$ scattering data to extract the strong phase difference and inelasticity. Based on well-grounded theoretical properties, we find the sign and bulk value of the $\Delta A_{CP}$ and $A_{CP}(D^0\to {\pi }^{-}{\pi }^{+})$ recently observed by the LHCb Collaboration.

revised version, approved to PRL

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Cited by in corpus (13)

• Final-state rescattering mechanism of charmed baryon decays
• Final-state interactions in the CP asymmetries of charm-meson two-body decays
• CP Violation of Baryon Decays with $N\pi$ Scatterings
• Search for $CP$ violation in the phase space of $D^0\to {\pi }^{-}{\pi }^{+}{\pi }^0$ decays with the energy test
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Large CP violation in charmed baryon decays
• Implications of the evidence for direct $\mathbf{CP}$ violation in $D\to {\pi }^{+}{\pi }^{-}$ decays
• Measurement of $CP$ violation observables in $D^{+}\to K^{-}{K}^{+}{\pi }^{+}$ decays
• Measurement of the CP asymmetry in $D^{+}\to {\pi }^{+}{\pi }^0$ decays at Belle II
• Search for $CP$ violation in ${\Xi }_c^{+}\to {\Sigma }^{+}{h}^{+}{h}^{-}$ and ${\Lambda }_c^{+}\to p{h}^{+}{h}^{-}$ at Belle II
• Measurement of the time-integrated $CP$ asymmetry in $D^0\to K_{\mathrm{S}}^0{K}_{\mathrm{S}}^0$ decays using opposite-side flavor tagging at Belle and Belle II
• Measurement of the time-integrated $CP$ asymmetry in $D^0\to {\pi }^0{\pi }^0$ decays at Belle II
• Search for $CP$ violation in $D_{(s)}^{+}\to K_S^0{K}^{-}{\pi }^{+}{\pi }^{+}$ decays using triple and quadruple products