Effect of $K^0-{\bar{K}}^0$ Mixing on $CP$ Asymmetries in Weak Decays of $D$ and $B$ Mesons

Abstract

Within the standard electroweak model we carry out an instructive analysis of the effect of $K^0-{\bar{K}}^0$ mixing on $CP$ asymmetries in some weak decay modes of $D^{\pm }$ and $\stackrel{(-)}{B}$${}_d^0$ mesons. We point out that a clean signal of $CP$ violation with magnitude of 2Re($\epsilon$) $\approx 3.3\times 10^{-3}$ can manifest in the semileptonic decays $D^{+}\to l^{+}{\nu }_l^{}{K}_S$ ($K_L$) vs $D^{-}\to l^{-}{\bar{\nu }}_l^{}{K}_S$ ($K_L$). The $CP$ asymmetries are also dominated by 2Re($\epsilon$) in the two-body nonleptonic decays $D^{\pm }\to ({\pi }^{\pm },{\rho }^{\pm },a_1^{\pm })+(K_S,K_L)$ and in the multi-body processes $D^{\pm }\to {\pi }^{\pm }+n_0{\pi }^0+n_{\pm }({\pi }^{\pm }{\pi }^{\mp })+(K_S,K_L)$, where $n_0$ and $n_{\pm }$ are integers. It is possible to observe such $CP$-violating signals with about $10^7$ $D^{\pm }$ events at $\tau$-charm factories or hadron machines. Finally we show that the $CP$ asymmetry induced by Re($\epsilon$) may compete with those from $B_d^0-{\bar{B}}_d^0$ mixing and final-state interactions in the semi-inclusive and exclusive decays $B_d\to X(c\bar{c})+(K_S,K_L)$ on the ${\rm Y}(4S)$ resonance.

10 Latex pages + 2 figures. Phys. Lett. B (in printing)

References in corpus (6)

• Tests of Direct and Indirect CPT Violation at a B Factory
• Interference Between Cabibbo Allowed and Doubly Forbidden Transitions in $D\ra K_{S,L} + π'$s Decays
• Test of $CPT$ Symmetry in $CP$-violating $B$ Decays
• On Test of CPT Symmetry in CP Violating B Decays
• Wolfenstein Parametrization Re-examined
• Effect of Hairpin Diagram on Two-body Nonleptonic B Decays and CP Violation

Cited by in corpus (21)

• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Testing CPT with the Neutral-D System
• D^0-\bar{D}^0 Mixing and CP Violation in Neutral D-meson Decays
• Study of decay dynamics and $CP$ asymmetry in $D^{+}\to K_L^0{e}^{+}{\nu }_e$ decay
• $K_S^0-K_L^0$ Asymmetries and $CP$ Violation in Charmed Baryon Decays into Neutral Kaons
• Evidence for CP Violation in the Decay $D^{+}\to K_S^0{\pi }^{+}$
• Can the CP asymmetries in $B\to \psi K_S$ and $B\to \psi K_L$ differ?
• Flavor Symmetry, K^0-\bar{K}^0 Mixing and New Physics Effects on CP Violation in D^{\pm} and D^{\pm}_s Decays
• Search for CP Violation in D^0--> K_S^0 pi^+pi^-
• $CP$ asymmetries in charm decays into neutral kaons
• Doubly CKM-suppressed corrections to CP asymmetries in $B^0\to J/\psi K^0$
• Measurement of CP-violation asymmetries in D0 to Ks pi+ pi-
• $K_S^0-K_L^0$ asymmetries in $D$-meson decays
• Search for CP Violation in the Decay $D^{+}\to K_S^0{K}^{+}$
• D^0 \to K^{\pm}π^{\mp} and CP Violation at a τ-charm Factory
• Possible Effects of Noncommutative Geometry on Weak CP Violation and Unitarity Triangles
• Charm Physics at the Super $\tau$-Charm Factory
• Constraining unparticle physics from $CP$ violation in Cabibbo-favored decays of D mesons
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays
• 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
• Charm2000: A >10^8-charm experiment for the turn of the millennium