Entanglement Signatures of CPT Violation in Neutrino Oscillations

TL;DR

This paper explores how CPT violation and quantum gravity effects influence neutrino entanglement entropy, revealing observable asymmetries that could serve as probes of Planck-scale physics.

Contribution

It introduces a method to detect CPT violation through entanglement entropy asymmetries in neutrino oscillations, linking quantum gravity effects to observable phenomena.

Findings

CPT violation causes measurable asymmetry in neutrino and anti-neutrino entanglement entropy.

Majorana phases influence the amplitude of entropy asymmetry.

Entanglement entropy is a sensitive probe of Planck-scale CPT-violating physics.

Abstract

We investigate the joint influence of CPT violation and quantum-gravity-induced Planck-scale corrections on the entanglement entropy of two-flavor neutrino oscillations. Building on the CPT-violating neutrino mass matrix arising from flavour-blind Planck-scale physics, we compute the von Neumann entanglement entropy separately for neutrinos and anti-neutrinos and demonstrate that CPT violation directly imprints an observable asymmetry in their entropy profiles. For a degenerate mass spectrum (m_{\nu}\simeq2\,\mathrm{eV}), non-zero Majorana phases a_{1} and a_{2} are required to reproduce the solar KamLAND discrepancy; these same phases control the amplitude of the entropy asymmetry. Our results establish that entanglement entropy provides a sensitive and novel probe of CPT-violating Planck-scale physics within neutrino phenomenology.