Inhomogeneous Kinetic Equation for Mixed Neutrinos: Tracing the Missing Energy
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913451212800000 |
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| author | Fiorillo, Damiano F. G. Raffelt, Georg G. Sigl, Günter |
| author_facet | Fiorillo, Damiano F. G. Raffelt, Georg G. Sigl, Günter |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_05278 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inhomogeneous Kinetic Equation for Mixed Neutrinos: Tracing the Missing Energy Fiorillo, Damiano F. G. Raffelt, Georg G. Sigl, Günter High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena 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. |
| title | Inhomogeneous Kinetic Equation for Mixed Neutrinos: Tracing the Missing Energy |
| topic | High Energy Physics - Phenomenology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2401.05278 |