On CP Asymmetries in Two-, Three- and Four-Body D Decays

Abstract

Indirect and direct CP violations have been established in K_L and B_d decays. They have been found in two-body decay channels -- with the exception of K_L to pi^+ pi^- e^+ e^- transitions. Evidence for direct CP asymmetry has just appeared in LHCb data on A_{CP}(D^0 to K^+ K^-) - A_{CP}(D^0 to pi^+ pi^-) with 3.5 sigma significance. Manifestations of New Dynamics (ND) can appear in CP asymmetries just below experimental bounds. We discuss D^{\pm}_{(s)}, D^0/\bar D^0 and D_L/D_S transitions to 2-, 3- and 4-body final states with a comment on predictions for inclusive vs. exclusive CP asymmetries. In particular we discuss T asymmetries in D to h_1 h_2 l^+ l^- in analogy with K_L to pi^+ pi^- e^+ e^- transitions due to interference between M1, internal bremsstrahlung and possible E1 amplitudes. Such an effect depends on the strength of CP violation originating from the ND -- as discussed here for Little Higgs Models with T parity and non-minimal Higgs sectors -- but also in the interferences between these amplitudes even in the Standard Model (SM). More general lessons can be learnt for T asymmetries in non-leptonic D decays like D to h_1h_2 h_3 h_4. Such manifestations of ND can be tested at LHCb and other Super-Flavour Factories like the projects at KEK near Tokyo and at Tor Vergata/Frascati near Rome.

27 pages, 6 figures. Revised with current results from LHCb and HFAG and further interpretations

References in corpus (4)

• Combining K-\bar K mixing and D-\bar D mixing to constrain the flavor structure of new physics
• Another Look at the Flavour Structure of the Littlest Higgs Model with T-Parity
• Conclusions from CDF Results on CP Violation in D^0 \to π^+π^-, K^+K^- and Future Tasks
• Flavour constraints on multi-Higgs-doublet models: Yukawa alignment

Cited by in corpus (29)

• Implications of LHCb measurements and future prospects
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• On Partial Compositeness and the CP asymmetry in charm decays
• SU(3) symmetry breaking and CP violation in D -> PP decays
• Measurement of the difference of CP-violating asymmetries in D0 -> K+K- and D0 ->pi+pi- decays at CDF
• Repercussions of Flavour Symmetry Breaking on CP Violation in D-Meson Decays
• D-meson lifetimes within the heavy quark expansion
• Standard Model prediction and new physics tests for D0 -> h+h-l+l- (h=π,K; l=e,μ)
• New Physics Models of Direct CP Violation in Charm Decays
• Null tests from angular distributions in $D\to P_1{P}_2{l}^{+}{l}^{-}$, $l=e,\mu$ decays on and off peak
• Observation of $D^0$ meson decays to ${\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $K^{+}{K}^{-}{\mu }^{+}{\mu }^{-}$ final states
• Theoretical and experimental status of rare charm decays
• Direct CP violation in beauty and charm hadron decays
• Manifestations of Warped Extra Dimension in Rare Charm Decays and Asymmetries
• Measurement of angular and CP asymmetries in $D^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $D^0\to K^{+}{K}^{-}{\mu }^{+}{\mu }^{-}$ decays
• Search for the decay $D^0\to {\pi }^0\nu \bar{\nu }$
• Direct CP Violation in Charm Decays due to Left-Right Mixing
• Angular analysis of $D^0\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ and $D^0\to K^{+}{K}^{-}{\mu }^{+}{\mu }^{-}$ decays and search for $CP$ violation
• Shift in weak phase $\gamma$ due to CP asymmetries in $D$ decays to two pseudoscalar mesons
• Triple-product asymmetry in the radiative two-pion tau decay
• $S$-wave contribution to rare $D^0\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays in the Standard Model and sensitivity to New Physics
• Charm Physics at the Super $\tau$-Charm Factory
• Search for $D^0$ meson decays to ${\pi }^{+}{\pi }^{-}{e}^{+}{e}^{-}$ and $K^{+}{K}^{-}{e}^{+}{e}^{-}$ final states
• Search for $CP$ violation in $D_{(s)}^{+}\to K^{-}{K}^{+}{K}^{+}$ decays
• Search for resonance-enhanced $CP$ and angular asymmetries in the ${\Lambda }_c^{+}\to p{\mu }^{+}{\mu }^{-}$ decay at LHCb
• CP Violation In Baryon Decays At LHCb
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• Recent progress in decays of $b$ and $c$ hadrons
• Model-Independent Analysis of CP Violation in Charmed Meson Decays