https://doi.org/10.1140/epjc/s10052-017-5432-2
Regular Article - Theoretical Physics
The signal of ill-defined CPT weakening entanglement in the
system
1
Departament de Física Teòrica, IFIC, Universitat de València-CSIC, 46100, Burjassot, Spain
2
Theoretical Particle Physics and Cosmology Group, Department of Physics, King’s College London, Strand, London, WC2R 2LS, UK
3
Departamento de Física, Centro de Física Teórica de Partículas (CFTP), Instituto Superior Técnico (IST), U. de Lisboa (UL), Av. Rovisco Pais, 1049-001, Lisboa, Portugal
* e-mail: miguel.r.nebot.gomez@tecnico.ulisboa.pt
Received:
23
June
2017
Accepted:
29
November
2017
Published online:
13
December
2017
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 -effect. In the current paper we identify how to probe the complex
in the entangled
-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(
) and Im(
), disentangled from CPT violation in the evolution Hamiltonian Re(
) and Im(
).
tensions for both Re(
) and Im(
) are shown to be uncorrelated.
© The Author(s), 2017