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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2401.12829 |
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| _version_ | 1866911563859886080 |
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| author | Moreno, Andres Lopez |
| author_facet | Moreno, Andres Lopez |
| contents | Long-baseline neutrino oscillation experiments require external constraints on $\sin^2θ_{12}$ and $Δm_{21}^2$ to make precision measurements of the leptonic mixing matrix. These constraints come from measurements of the Mikheyev-Smirnov-Wolfenstein (MSW) mixing in solar neutrinos. Here we develop an MSW large mixing angle approximation in the presence of heavy neutral leptons which adds a single new parameter ($α_{11}$) representing the magnitude of the mixing between the $ν_e$ state and the heavy sector. We use data from the Borexino, SNO and KamLAND collaborations to find a solar constraint appropriate for heavy neutral lepton searches in long-baseline oscillation experiments. Solar data limits the magnitude of the non-unitary parameter to $(1-α_{11}) < 0.046$ at the $99\%$ credible interval and yields a strongly correlated constraint on the solar mass splitting and the magnitude of $ν_e$ non-unitary mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12829 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A non-unitary solar constraint for long-baseline neutrino experiments Moreno, Andres Lopez High Energy Physics - Phenomenology Long-baseline neutrino oscillation experiments require external constraints on $\sin^2θ_{12}$ and $Δm_{21}^2$ to make precision measurements of the leptonic mixing matrix. These constraints come from measurements of the Mikheyev-Smirnov-Wolfenstein (MSW) mixing in solar neutrinos. Here we develop an MSW large mixing angle approximation in the presence of heavy neutral leptons which adds a single new parameter ($α_{11}$) representing the magnitude of the mixing between the $ν_e$ state and the heavy sector. We use data from the Borexino, SNO and KamLAND collaborations to find a solar constraint appropriate for heavy neutral lepton searches in long-baseline oscillation experiments. Solar data limits the magnitude of the non-unitary parameter to $(1-α_{11}) < 0.046$ at the $99\%$ credible interval and yields a strongly correlated constraint on the solar mass splitting and the magnitude of $ν_e$ non-unitary mixing. |
| title | A non-unitary solar constraint for long-baseline neutrino experiments |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.12829 |