A Lightning-Fast Three-Flavor Neutrino Oscillation Calculator in Constant-Density Matter with Built-In Uncertainty Propagation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918467488186368 |
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| author | Chaulagain, Aaryan Chhatkuli, Daya Nidhi Dhakal, Anju |
| author_facet | Chaulagain, Aaryan Chhatkuli, Daya Nidhi Dhakal, Anju |
| contents | Neutrino oscillation experiments are entering an era of precision, requiring both fast calculations and reliable uncertainty estimates. We present a compact three-flavor oscillation calculator for constant-density matter, built on analytic perturbative formulas and validated against established series expansions. Using the NuFIT 6.0 global-fit covariance matrix, the tool incorporates up-to-date parameter values and correlations. It accurately computes appearance and disappearance probabilities over 0.3-5 GeV at a 295 km baseline, offering two computation modes: exact Hamiltonian diagonalization for high-fidelity results, and a faster perturbative approximation that runs roughly 27x quicker. A hybrid scheme handles the MSW resonance region, combining speed with accuracy. Uncertainties can be propagated via Monte Carlo sampling or a fast linearized approach, producing reliable confidence bands. The implementation preserves unitarity, reproduces vacuum and resonance limits, and captures high-energy suppression effects. This calculator provides a fast, reliable framework for parameter scans, phenomenological studies, and sensitivity estimates for current and future long-baseline experiments like Hyper-Kamiokande and DUNE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20275 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Lightning-Fast Three-Flavor Neutrino Oscillation Calculator in Constant-Density Matter with Built-In Uncertainty Propagation Chaulagain, Aaryan Chhatkuli, Daya Nidhi Dhakal, Anju High Energy Physics - Phenomenology Neutrino oscillation experiments are entering an era of precision, requiring both fast calculations and reliable uncertainty estimates. We present a compact three-flavor oscillation calculator for constant-density matter, built on analytic perturbative formulas and validated against established series expansions. Using the NuFIT 6.0 global-fit covariance matrix, the tool incorporates up-to-date parameter values and correlations. It accurately computes appearance and disappearance probabilities over 0.3-5 GeV at a 295 km baseline, offering two computation modes: exact Hamiltonian diagonalization for high-fidelity results, and a faster perturbative approximation that runs roughly 27x quicker. A hybrid scheme handles the MSW resonance region, combining speed with accuracy. Uncertainties can be propagated via Monte Carlo sampling or a fast linearized approach, producing reliable confidence bands. The implementation preserves unitarity, reproduces vacuum and resonance limits, and captures high-energy suppression effects. This calculator provides a fast, reliable framework for parameter scans, phenomenological studies, and sensitivity estimates for current and future long-baseline experiments like Hyper-Kamiokande and DUNE. |
| title | A Lightning-Fast Three-Flavor Neutrino Oscillation Calculator in Constant-Density Matter with Built-In Uncertainty Propagation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2604.20275 |