Three-flavor neutrino oscillations using the Phase Space Approach

Fuente: arXiv
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Autores principales: Mangin-Brinet, Mariane, Bauge, Angel, Lacroix, Denis
Formato: Preprint
Publicado: 2025
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author Mangin-Brinet, Mariane
Bauge, Angel
Lacroix, Denis
author_facet Mangin-Brinet, Mariane
Bauge, Angel
Lacroix, Denis
contents The Phase-Space Approximation (PSA) approach, originally applied in [Phys. Rev. D 106, 123006 (2022)] to describe neutrino oscillations from a stellar object in the two-flavor limit, is extended here to describe the more realistic case where neutrinos can oscillate between three different flavors. The approach is successfully validated against the exact solutions up to eight neutrinos. In all cases where the exact solution is feasible, the PSA provides excellent reproduction of the neutrino oscillation dynamics. By replacing the full problem with a set of simple mean-field equations, the PSA offers a versatile, predictive, and easily parallelizable approach for tackling three-flavor problems. This enables the simulation of large-scale neutrino oscillations, as illustrated here with simulations involving up to 300 neutrinos. Additionally, the method provides insight into the system's equilibration properties.
format Preprint
id arxiv_https___arxiv_org_abs_2507_18482
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Three-flavor neutrino oscillations using the Phase Space Approach
Mangin-Brinet, Mariane
Bauge, Angel
Lacroix, Denis
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
Nuclear Theory
Quantum Physics
The Phase-Space Approximation (PSA) approach, originally applied in [Phys. Rev. D 106, 123006 (2022)] to describe neutrino oscillations from a stellar object in the two-flavor limit, is extended here to describe the more realistic case where neutrinos can oscillate between three different flavors. The approach is successfully validated against the exact solutions up to eight neutrinos. In all cases where the exact solution is feasible, the PSA provides excellent reproduction of the neutrino oscillation dynamics. By replacing the full problem with a set of simple mean-field equations, the PSA offers a versatile, predictive, and easily parallelizable approach for tackling three-flavor problems. This enables the simulation of large-scale neutrino oscillations, as illustrated here with simulations involving up to 300 neutrinos. Additionally, the method provides insight into the system's equilibration properties.
title Three-flavor neutrino oscillations using the Phase Space Approach
topic High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
Nuclear Theory
Quantum Physics
url https://arxiv.org/abs/2507.18482