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 ω -effect. In the current paper we identify how to probe the complex ω in the entangled B d -system using the 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( ω ) and Im( ω ), disentangled from CPT violation in the evolution Hamiltonian Re( θ ) and Im( θ ). 2 σ tensions for both Re( θ ) and Im( ω ) are shown to be uncorrelated.