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).

arXiv comment11 pages; accepted in Phys. Rev. D

References in corpus (27)

• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• CPT Violation Implies Violation of Lorentz Invariance
• Studying Indirect Violation of CP, T and CPT in a B-factory
• Time Reversal Violation from the entangled B0-antiB0 system
• Determination of the angle gamma using B -> D* V modes
• Extracting Weak Phase Information from B -> V_1 V_2 Decays
• Limits on the Decay-Rate Difference of Neutral-B Mesons and on CP, T, and CPT Violation in B0-antiB0 Oscillations
• Search for violations of Lorentz invariance and $CPT$ symmetry in $B_{(s)}^0$ mixing
• Search for Time-Dependent CPT Violation in Hadronic and Semileptonic B Decays
• Limits on the Decay-Rate Difference of Neutral B Mesons and on CP, T, and CPT Violation in B0-B0bar Oscillations
• Bounds on New Physics from B -> V1 V2 Decays
• Direct test of time reversal invariance violation in B mesons
• CPT violation in entangled B0-B0bar states and the demise of flavour tagging
• Subtleties in the BaBar measurement of time-reversal violation
• Status and prospects for $CPT$ and Lorentz invariance violation searches in neutral meson mixing
• Genuine T, CP, CPT asymmetry parameters for the entangled ${\mathbf{B}}_{\mathbf{d}}$ system
• Probing New Physics via an Angular Analysis of B --> V1 V2 decays
• Disentangling violations of CPT from other new-physics effects
• Reconciling anomalous measurements in $B_s-{\bar{B}}_s$ mixing: the role of CPT-conserving and CPT-violating new physics
• Correlated neutral B meson decays into CP eigenstates
• CPT violation and triple-product correlations in B decays
• Using time-dependent indirect $CP$ asymmetries to measure $T$ and $CPT$ violation in $B^0$-${\bar{B}}^0$ mixing
• $B_s\to D_{s}K$ as a Probe of CPT Violation
• Probing CPT Violation in B Systems
• 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 (4)

• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• Laser-assisted kaon decay and CPT symmetry violation
• 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
• 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