The signal of ill-defined CPT weakening entanglement in the $B_d$ system

Abstract

In the presence of quantum gravity fluctuations (space-time foam), the CPT operator may be ill-defined. Its perturbative treatment leads to a modification of the Einstein-Podolsky-Rosen correlation of the neutral meson system by adding an Entanglement-weakening term of the wrong exchange symmetry, the $\omega$-effect. In the current paper we identify how to probe the complex $\omega$ in the entangled $B_d$-system using Flavour(f)-CP(g) eigenstate decay channels: the connection between the Intensities for the two time-ordered decays (f, g) and (g, f) is lost. Appropriate observables are constructed allowing independent experimental determinations of Re($\omega$) and Im($\omega$), disentangled from CPT violation in the evolution Hamiltonian Re($\theta$) and Im($\theta$). 2-$\sigma$ tensions for both Re($\theta$) and Im($\omega$) are shown to be uncorrelated.

18 pages, 4 figures, 1 table

References in corpus (5)

• Observation of Time Reversal Violation in the B0 Meson System
• Time Reversal Violation from the entangled B0-antiB0 system
• Decoherence induced CPT violation and entangled neutral mesons
• $\Delta t$-dependent equal-sign dilepton asymmetry and CPTV effects in the symmetry of the $B^0$--${\bar{B}}^0$ entangled state
• Genuine T, CP, CPT asymmetry parameters for the entangled ${\mathbf{B}}_{\mathbf{d}}$ system

Cited by in corpus (5)

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• Gravity, entanglement and CPT-symmetry violation in particle mixing
• Time reversal symmetry violation in entangled pseudoscalar neutral charmed mesons
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review