Behaviour of observables for neutral meson decaying to two vectors in the presence of $T$, $CP$ and $CPT$ violation in mixing only

Abstract

When a neutral meson $(P^0\text{ or }{\bar{P}}^0)$ decays to two vector particles, a large number of observables can be constructed from differential decay rate based on the polarization of final state. But, theoretically, all of them are not independent to each other and hence, some relations among observables emerge. These relations have been well studied in the scenario with no $T$ and $CPT$ violation in neutral meson mixing and no direct $CP$ violation as well. In this paper, we have studied the relations among observables in the presence of $T$, $CP$ and $CPT$ violating effects in mixing only. We find that except four of them, all the other old relations get violated and new relations appear if $T$ and $CPT$ violations in mixing are present. Invalidity of these relation will signify the presence of direct violation of $T$, $CP$ and $CPT$ (i.e. violation in the decay itself).

11 pages; accepted in Phys. Rev. D

References in corpus (5)

• Time Reversal Violation from the entangled B0-antiB0 system
• Search for Time-Dependent CPT Violation in Hadronic and Semileptonic B Decays
• Direct test of time reversal invariance violation in B mesons
• Status and prospects for $CPT$ and Lorentz invariance violation searches in neutral meson mixing
• CPT Violation in ${\mathbf{B}}_{\mathbf{s}}^0$--${\bar{\mathbf{B}}}_{\mathbf{s}}^0$ mixing and the measurement of CP Violation in ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{+}{\mathbf{K}}^{-}$

Cited by in corpus (1)

• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors