Year: 2026
Type: preprint
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 $\tildeχ^2$ 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 $\tildeχ^2_{\text{min}}$, corresponding to the optimal agreement attainable for parameter points satisfying the model. Applying this framework to several schemes ($\text{TM}_{1,2}$, $\mu1,2$--$\tau1,2$) yields generally better fits for IO than for NO, with the $\mu1$--$\tau1$ scheme under IO providing the best overall fit. While $\mu1,2$--$\tau1,2$ and $\text{TM}_1$ schemes perform significantly better than $\text{TM}_2$, 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.
Source: arXiv (Cornell University)
Institution: University of Silesia in Katowice
Language: English
Topic: Neutrino Physics Research
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223087891