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

Understand

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($\theta$).