Revisiting series expansions of neutrino oscillation and decay probabilities in matter
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| Format: | Preprint |
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2024
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| _version_ | 1866910815679938560 |
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| author | Grönroos, Jesper Ohlsson, Tommy Vihonen, Sampsa |
| author_facet | Grönroos, Jesper Ohlsson, Tommy Vihonen, Sampsa |
| contents | We present analytic expressions for three-flavor neutrino oscillations in presence of invisible neutrino decay and matter effects. Using the well-known Cayley-Hamilton formalism, the leading-order terms are derived for oscillation probabilities in all major channels assuming the neutrino mass eigenstate $ν_3$ to decay. Our work extends and complements previous studies utilizing the Cayley-Hamilton theorem, providing the series expansions for $ν_e \rightarrow ν_e$, $ν_e \rightarrow ν_μ$, $ν_e \rightarrow ν_τ$, $ν_μ\rightarrow ν_μ$ and $ν_μ\rightarrow ν_τ$. The accuracy of the analytical formulas is investigated by comparing the results with numerically calculated probabilities. We also comment on the implications on unitarity violation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_16864 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revisiting series expansions of neutrino oscillation and decay probabilities in matter Grönroos, Jesper Ohlsson, Tommy Vihonen, Sampsa High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory We present analytic expressions for three-flavor neutrino oscillations in presence of invisible neutrino decay and matter effects. Using the well-known Cayley-Hamilton formalism, the leading-order terms are derived for oscillation probabilities in all major channels assuming the neutrino mass eigenstate $ν_3$ to decay. Our work extends and complements previous studies utilizing the Cayley-Hamilton theorem, providing the series expansions for $ν_e \rightarrow ν_e$, $ν_e \rightarrow ν_μ$, $ν_e \rightarrow ν_τ$, $ν_μ\rightarrow ν_μ$ and $ν_μ\rightarrow ν_τ$. The accuracy of the analytical formulas is investigated by comparing the results with numerically calculated probabilities. We also comment on the implications on unitarity violation. |
| title | Revisiting series expansions of neutrino oscillation and decay probabilities in matter |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.16864 |