Abstract
The direct observation of time reversal symmetry violation (TV) is important for the test of $CPT$ conservation and the Standard Model. In this paper, we study both time-dependent and time-independent genuine TV signals in entangled $D^0-\bar{D}^0$ pairs. A possible $CPT$-violation effect called the $\omega$ effect is also investigated. In the $C=-1$ entangled state, the asymmetries due to TV are calculated to be of the order of $10^{-5}$ to $10^{-4}$ within the Standard Model, but the modification due to the $\omega$ effect in the $C=-1$ states is found to be about $10\%-30\%$ when $|\omega|\sim 10^{-4}$. This result is consistent with our Monte Carlo simulation, which implies that with $10^9$ to $10^{10}$ events, TV signals can be observed in the entangled $D^0-\bar{D}^0$ pairs, and the bound of $\omega \sim 10^{-3}$ can be reached. The time-dependent and the time-independent asymmetries in the $C=-1$ $D^0-\bar{D}^0$ system provides a window to detect new physics such as the $\omega$ effect, although they are not easily observable.
Highlights
Symmetry, symmetry violation, and symmetry breaking have been playing important roles in particle physics
We have studied time reversal symmetry violation (TV) in the C 1⁄4 −1 entangled D0 − D 0 systems, and various Tasymmetries are considered
We calculated the time-dependent asymmetries of C 1⁄4 −1 system using joint decay rates, which are expected to be at the order of 10−5 in the Standard Model (SM)
Summary
Symmetry violation, and symmetry breaking have been playing important roles in particle physics. An important development is that a genuine TV signal has been observed in B0 − B 0 decay, by comparing transitions that are related through time reversal but not through CP conjugation [13,14]. We use a Monte Carlo simulation [20] to study the C 1⁄4 −1 systems based on the current experimental situation and demonstrate that if the number of events reaches 109 TV signals can be observed; if the number of events reaches 1010, the bound of ω ∼ 10−3 can be obtained. We conclude that in the C 1⁄4 −1 D0 − D 0 entangled state the time-dependent asymmetry due to TV within the SM requires a large number of events and may provide a window to detect the signal of NP such as the ω effect.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
