Data-Constrained Gauge-Invariant Information-Gauge Signatures in Neutrino Oscillations

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This preprint presents a gauge-invariant information-gauge effective field theory (IG-EFT) framework for testing possible new propagation effects in neutrino oscillations. The framework supplements the standard three-flavor neutrino oscillation model by coupling active neutrinos nonuniversally to the gauge-invariant Stueckelberg combination Bμ=Λμ−mΛ−1∂μΘ.\mathcal{B}_\mu = \Lambda_\mu - m_\Lambda^{-1}\partial_\mu\Theta . It identifies three complementary experimental signatures:(i) a coherent phase contribution that violates pure L/EL/E scaling,(ii) sidereal modulation generated by a spatially anisotropic information-gauge background, and(iii) stochastic pure dephasing generated by fluctuations of the information-gauge field. Published IceCube Lorentz-symmetry limits are conditionally mapped onto mass-basis IG coefficients using NuFIT-6.0 mixing parameters. The resulting one-coefficient-at-a-time projection scales are ∣A21T∣<8.6×10−24 GeV,∣A31T∣<5.9×10−24 GeV,|A_{21}^{T}|<8.6\times10^{-24}\ {\rm GeV}, \qquad |A_{31}^{T}|<5.9\times10^{-24}\ {\rm GeV}, based on the published IceCube 99% C.L. SME limits. Existing IceCube sidereal results provide corresponding transverse scales of order 10−23 GeV10^{-23}\,\mathrm{GeV}. For stochastic fluctuations, the IG pure-dephasing model is matched to the IceCube energy-independent phase-perturbation result, Γ0PP<1.18×10−24 GeV(90% C.L.),\Gamma_0^{\rm PP} < 1.18\times10^{-24}\ {\rm GeV} \quad (90\%~{\rm C.L.}), yielding the conditional constraint (Δgij)2σb2ℓc≲1.18×10−24 GeV.(\Delta g_{ij})^2\sigma_b^2\ell_c \lesssim 1.18\times10^{-24}\ {\rm GeV}. The first JUNO reactor-antineutrino oscillation measurement is additionally used to provide an independent MeV-scale proxy sensitivity to the same class of energy-independent propagation effects. The JUNO result is treated as a phenomenological single-scale estimate rather than a full experimental likelihood constraint. An auxiliary analysis of the IceCube public data release reproduces the 305,735 selected events in the published 13×2013\times20 analysis grid and finds the simplified likelihood minimum at the physical boundary Γ0=0\Gamma_0=0. This validation is used only as a reproducibility and order-of-magnitude diagnostic and does not replace the official IceCube likelihood. The associated Python analysis and public-data validation materials are archived separately on Zenodo at DOI 10.5281/zenodo.22177495. This manuscript is intended as a falsifiable phenomenological framework for testing whether coherent phase shifts, directional anisotropy, and stochastic decoherence can arise from a common gauge-invariant information-sector background.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.