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

Abstract

Within the Standard Model, we investigate the CP violations and the $K_S^0-K_L^0$ asymmetries 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 basing on the factorization-assisted topological-amplitude (FAT) approach and the topological amplitude (TA) approach of Cheng and Chiang [Phys. Rev. D 104, 073003 (2021).]. We find that the CP violations in these decays $A_{CP}^{K_{S,L}^0}$ can exceed the order of $10^{-3}$ in the two approaches and consist of three parts: the indirect CP violations in $K^0-{\bar{K}}^0$ mixing $A_{CP,K_{S,L}^0}^{mix}$, the direct CP violations in charm decays $A_{CP,K_{S,L}^0}^{dir}$ and the new CP violation effects $A_{CP,K_{S,L}^0}^{int}$, which are induced from the interference between two tree (Cabibbo-favored and doubly Cabibbo-suppressed) amplitudes with the neutral kaon mixing. The indirect CP violations in $K^0-{\bar{K}}^0$ mixing play a dominant role in $A_{CP}^{K_{S,L}^0}$, the new CP violation effects have a non-negligible contribution to $A_{CP}^{K_{S,L}^0}$. We estimate the numerical results of the $K_S^0-K_L^0$ asymmetries $R_{K_S-K_L}^{D^{\pm }}$ and find that there exist a large difference between the numerical results in the FAT approach and that of the TA approach. We also find that if ones adopt the values of the decay time parameters $t_0=3.0{\tau }_S$ and $t_1=10.0{\tau }_S$, the new CP violation effect $A_{CP,K_S^0}^{int}$ would dominate the CP violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_S^0{\pi }^0{\pi }^{\pm }$ decays and could be observed with $6.7\times 10^6$ and $6.5\times 10^6$ $D^{\pm }$ events-times-efficiency in the FAT approach and the TA approach, respectively. Our results could be tested by the LHCb, Belle II and BESIII experiments.

38 pages

References in corpus (26)

• FLAG Review 2021
• Observation of $CP$ violation in charm decays
• B->V gamma Beyond QCD Factorisation
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• On Partial Compositeness and the CP asymmetry in charm decays
• Charm Meson Decays
• Measurement of $CP$ asymmetry in $D^0\to K^{-}{K}^{+}$ and $D^0\to {\pi }^{-}{\pi }^{+}$ decays
• Revisiting CP violation in $D\to PP$ and $VP$ decays
• Shedding light on CP violation in the charm system via D to V gamma decays
• Resonance catalyzed CP asymmetries in D -> P l+ l-
• Effective-field theory analysis of the ${\tau }^{-}\to (K\pi {)}^{-}{\nu }_{\tau }$ decays
• Direct CP violation in beauty and charm hadron decays
• Finite-Width Effects in Three-Body B Decays
• $CP$ asymmetries in charm decays into neutral kaons
• Search for CP Violation in the Decay D+/- -> Ks pi+/-
• CP violation in $D^0\to (K^{-}{K}^{+},{\pi }^{-}{\pi }^{+})$ from diquarks
• Measurement of CP-violation asymmetries in D0 to Ks pi+ pi-
• Search for CP Violation in the Decay $D^{+}\to K_S^0{K}^{+}$
• Search for CP violation in the Decays $D^{\pm }\to K_S^0{K}^{\pm }$, $D_s^{\pm }\to K_S^0{K}^{\pm }$, and $D_s^{\pm }\to K_S^0{\pi }^{\pm }$
• Model-independent $D^0-\overline{D^0}$ mixing and CP violation studies with $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_{\mathrm{S}}^0{K}^{+}{K}^{-}$
• $CP$ asymmetry in the angular distributions of $\tau \to K_S\pi {\nu }_{\tau }$ decays -- II: general effective field theory analysis
• CP violation in non-leptonic $B_c$ decays to excited final states
• Behaviour of observables for neutral meson decaying to two vectors in the presence of $T$, $CP$ and $CPT$ violation in mixing only
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• Effect of $K^0-{\bar{K}}^0$ Mixing on CP and CPT Violations in $B_c^{\pm }\to B^{\pm }{K}_{S,L}^0$ Decays
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays