Modified Entanglement Patterns in Four-Flavor Neutrinos from Quantum-Gravity Interactions

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Main Authors: Koranga, Bipin Singh, Farooq, Baktiar Wasir, Singh, Y. Prem Kumar
Format: Preprint
Published: 2026
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author Koranga, Bipin Singh
Farooq, Baktiar Wasir
Singh, Y. Prem Kumar
author_facet Koranga, Bipin Singh
Farooq, Baktiar Wasir
Singh, Y. Prem Kumar
contents We investigate the influence of quantum-gravity (QG) induced corrections on the entanglement entropy associated with four-flavor neutrino oscillations in vacuum, incorporating an additional sterile neutrino in the (3+1) framework. Using the von Neumann entropy as a measure of quantum correlations, we analyze how Planck-scale suppressed modifications to the neutrino mass-squared differences and the extended mixing matrix affect the evolution of entanglement during successive oscillation cycles. The quantum-gravity corrections are implemented through a dimension-5 effective field theory operator that modifies the four-flavor PMNS matrix and all six mixing angles above the GUT scale. We find that the atmospheric mixing angle θ_{23} undergoes the largest deviation due to Planck-scale effects, while angles θ_{14}, θ_{24}, and θ_{34} remain essentially unchanged. The resulting QG-corrected oscillation probabilities produce characteristic deviations in the entanglement entropy profile as a function of L/E, providing a sensitive probe of Planck-scale physics within a four-flavor neutrino phenomenology framework.
format Preprint
id arxiv_https___arxiv_org_abs_2604_02464
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Modified Entanglement Patterns in Four-Flavor Neutrinos from Quantum-Gravity Interactions
Koranga, Bipin Singh
Farooq, Baktiar Wasir
Singh, Y. Prem Kumar
High Energy Physics - Phenomenology
We investigate the influence of quantum-gravity (QG) induced corrections on the entanglement entropy associated with four-flavor neutrino oscillations in vacuum, incorporating an additional sterile neutrino in the (3+1) framework. Using the von Neumann entropy as a measure of quantum correlations, we analyze how Planck-scale suppressed modifications to the neutrino mass-squared differences and the extended mixing matrix affect the evolution of entanglement during successive oscillation cycles. The quantum-gravity corrections are implemented through a dimension-5 effective field theory operator that modifies the four-flavor PMNS matrix and all six mixing angles above the GUT scale. We find that the atmospheric mixing angle θ_{23} undergoes the largest deviation due to Planck-scale effects, while angles θ_{14}, θ_{24}, and θ_{34} remain essentially unchanged. The resulting QG-corrected oscillation probabilities produce characteristic deviations in the entanglement entropy profile as a function of L/E, providing a sensitive probe of Planck-scale physics within a four-flavor neutrino phenomenology framework.
title Modified Entanglement Patterns in Four-Flavor Neutrinos from Quantum-Gravity Interactions
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2604.02464