On $SU(3{)}_F$ Breaking through Final State Interactions and CP Asymmetries in $D\to PP$ Decays

Abstract

We analyse $D$ decays to two pseudoscalars $(\pi ,K)$ assuming the dominant source of $\mathrm{SU}(3{)}_F$ breaking lies in final state interactions. We obtain an excellent agreement with experimental data and are able to predict CP violation in several channels based on current data on branching ratios and $\Delta {\mathrm{A}}_{\mathrm{CP}}$. We also make predictions for ${\delta }_{K\pi }$ and the branching fraction for the decay $D_s^{+}\to K^{+}{K}_L$.

21 pages. Updated with the 2019 measurement of $\Delta {\mathrm{A}}_{\mathrm{CP}}$ from LHCb

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• Measurement of the time-integrated $CP$ asymmetry in $D^0\to K^{-}{K}^{+}$ decays
• Final-state rescattering mechanism of charmed baryon decays
• Direct CP violation in beauty and charm hadron decays
• Final-state interactions in the CP asymmetries of charm-meson two-body decays
• Search for time-dependent $CP$ violation in $D^0\to K^{+}{K}^{-}$ and $D^0\to {\pi }^{+}{\pi }^{-}$ decays
• A $U$-Spin Anomaly in Charm CP Violation
• Enhanced charm CP asymmetries from final state interactions
• Updated measurement of decay-time-dependent CP asymmetries in $D^0\to K^{+}{K}^{-}$ and $D^0\to {\pi }^{+}{\pi }^{-}$ decays
• Resonance enhancement of Charm CP
• The Mathematical Structure of $U$-Spin Amplitude Sum Rules
• Improved measurement of the strong-phase difference ${\delta }_D^{K\pi }$ in quantum-correlated $D\bar{D}$ decays
• Search for $CP$ violation in $D_{(s)}^{+}\to h^{+}{\pi }^0$ and $D_{(s)}^{+}\to h^{+}\eta$ decays
• Measurement of $CP$ asymmetry in $D^0\to K_S^0{K}_S^0$ decays
• Search for $CP$ violation in the phase space of $D^0\to {\pi }^{-}{\pi }^{+}{\pi }^0$ decays with the energy test
• Measurement of branching fractions and $CP$ asymmetries for $D_s^{+}\to K^{+}(\eta ,{\pi }^0)$ and $D_s^{+}\to {\pi }^{+}(\eta ,{\pi }^0)$ decays at Belle
• Charm Physics at the Super $\tau$-Charm Factory
• Generation of isospin sum rules in heavy hadron weak decays
• Recent advances in charm mixing and $CP$ violation at LHCb
• Novel method for the identification of the production flavor of neutral charmed mesons
• Precise Measurements of Branching Fractions for $D_s^{+}$ Meson Decays to Two Pseudoscalar Mesons
• Search for $CP$ violation in D${}^0$ $\to$ K${}_{\mathrm{S}}^0$K${}_{\mathrm{S}}^0$ decays in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Measurement of $D^0-{\overline{D}}^0$ mixing and search for $CP$ violation with $D^0\to K^{+}{\pi }^{-}$ decays
• Search for $CP$ violation in $D_{(s)}^{+}\to K^{-}{K}^{+}{K}^{+}$ decays
• Measurement of the time-integrated CP asymmetry in $D^0\to K_S^0{K}_S^0$ decays using Belle and Belle II data
• Measurement of the CP asymmetry in $D^{+}\to {\pi }^{+}{\pi }^0$ decays at Belle II
• Implications of the evidence for direct $\mathbf{CP}$ violation in $D\to {\pi }^{+}{\pi }^{-}$ decays
• A novel measurement of the strong-phase difference between $D^0\to K^{-}{\pi }^{+}$ and ${\bar{D}}^0\to K^{-}{\pi }^{+}$ decays using $C$-even and $C$-odd quantum-correlated $D\bar{D}$ pairs
• 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 $CP$ asymmetry in $D^0\to K_{\mathrm{S}}^0{K}_{\mathrm{S}}^0$ decays with Run 3 data
• A Review of $CP$ Violation Measurements in Charm at LHCb
• Observation of CP violation in charm decays at LHCb
• Time-dependent study of $K_S\to {\pi }^{+}{\pi }^{-}$ decays for flavour physics measurements