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Inhomogeneous Kinetic Equation for Mixed Neutrinos: Tracing the Missing Energy

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arxiv 2401.05278 v2 pith:J3DPBNLT submitted 2024-01-10 hep-ph astro-ph.COastro-ph.HE

Damiano F. G. Fiorillo , Georg G. Raffelt , Günter Sigl This is my paper · ORCID
classification hep-phastro-ph.COastro-ph.HE
keywords energykineticflavormissingneutrinorefractiveequationinhomogeneous
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Flavor-dependent neutrino transport is described by a well-known kinetic equation for occupation-number matrices in flavor space. However, as an overlooked theoretical problem, we show that in the inhomogeneous case, neutrino-neutrino refractive energy is not conserved. We derive the missing gradient terms in the fast flavor limit (vanishing neutrino masses), and prove that the missing refractive energy is traded with the huge reservoir of neutrino kinetic energy through gradients of the weak interaction potential. Even small changes of the kinetic energy accommodate the refractive energy gained or lost. Flavor evolution alone is negligibly affected by the new terms.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Collective flavor conversions are interactions of neutrinos with quantized flavor waves

    hep-ph 2025-02 conditional novelty 9.0 of 10

    Neutrino fast flavor instabilities are equivalent to stimulated emission of flavomons, quantum flavor waves, whose kinetic equations reproduce the linear growth rate and extend naturally beyond it.

  2. Flavomons in Matter Gradients: Ray Tracing and Amplitude Evolution

    hep-ph 2026-04 unverdicted novelty 7.0 of 10

    Matter gradients slow but do not suppress neutrino-mass-induced flavor instabilities, so flavomon ray tracing is required instead of local stability analysis alone.

  3. Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior

    hep-ph 2026-01 conditional novelty 6.0 of 10

    For shallow angular crossings, the nonlinear evolution of a single-wave fast flavor instability is a flavor pendulum whose amplitude and period are set by the linear growth rate.

  4. Single-wave solutions of the neutrino fast flavor system. Part I. Mechanical properties

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Single-wave neutrino flavor solutions form a non-integrable spin system without Gaudin invariants, so an exact flavor pendulum exists only for two beams and does not extend to continuous angle distributions.

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