Correlations in oscillation data and their impact on neutrino mixing models
Abstract
With increasing precision of neutrino experiments, complete correlation among the oscillation parameters will scrutinize theoretical neutrino mass and mixing models. Using available 1D--3D global-fit datasets, we construct a multidimensional χ̃2 function that provides a conservative estimate of the full six-dimensional parameter correlations. In our approach, we delineate the model-constrained parameter space by combining the interpolated experimental data with the analytical relations implied by a given mixing scheme. We identify χ̃2min, corresponding to the optimal agreement attainable for parameter points satisfying the model. Applying this framework to several schemes (TM1,2, μ1,2--τ1,2) yields generally better fits for IO than for NO, with the μ1--τ1 scheme under IO providing the best overall fit. While μ1,2--τ1,2 and TM1 schemes perform significantly better than TM2, the latter is excluded at >3σ C.L. using NuFIT~v6.1 data. We further evaluate the implications of these correlation-respecting constraints on the effective neutrino mass observables relevant to tritium β-decay (mβ) and neutrinoless double β-decay (mββ). The proposed approach can be readily extended to test any theoretical framework that predicts algebraic relations among neutrino oscillation parameters, and we provide a GitHub starter kit.
Related
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BibTeX
@misc{gluza2026correlations,
title = {{Correlations in oscillation data and their impact on neutrino mixing models}},
author = {Janusz Gluza and Biswajit Karmakar and Szymon Zięba},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27270},
eprint = {2610.27270},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27270},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Correlations in oscillation data and their impact on neutrino mixing models
AU - Janusz Gluza
AU - Biswajit Karmakar
AU - Szymon Zięba
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.27270
UR - https://arxiv.org/abs/2610.27270
AB - With increasing precision of neutrino experiments, complete correlation among the oscillation parameters will scrutinize theoretical neutrino mass and mixing models. Using available 1D--3D global-fit datasets, we construct a multidimensional χ̃^2 function that provides a conservative estimate of the full six-dimensional parameter correlations. In our approach, we delineate the model-constrained parameter space by combining the interpolated experimental data with the analytical relations implied by a given mixing scheme. We identify χ̃^2_min, corresponding to the optimal agreement attainable for parameter points satisfying the model. Applying this framework to several schemes (TM_1,2, μ1,2--τ1,2) yields generally better fits for IO than for NO, with the μ1--τ1 scheme under IO providing the best overall fit. While μ1,2--τ1,2 and TM_1 schemes perform significantly better than TM_2, the latter is excluded at >3σ C.L. using NuFIT~v6.1 data. We further evaluate the implications of these correlation-respecting constraints on the effective neutrino mass observables relevant to tritium β-decay (m_β) and neutrinoless double β-decay (m_ββ). The proposed approach can be readily extended to test any theoretical framework that predicts algebraic relations among neutrino oscillation parameters, and we provide a GitHub starter kit.
ER -