Ultraviolet Flavor Transmission to T-Violating Neutrino Oscillation Observables in a Seesaw Framework with Sterile Mixing and Planck-Suppressed Corrections

Abstract

We construct, numerically validate, and phenomenologically constrain a pipeline connecting a spontaneously CP-violating ultraviolet Type-I seesaw boundary condition to Planck-suppressed corrections of the T-violating oscillation asymmetry and the CP asymmetry in a minimal 3+1 sterile-neutrino framework. The ultraviolet Yukawa structure is reconstructed via Casas-Ibarra parameterization, matched onto the Weinberg operator at seesaw thresholds, and evolved to the electroweak scale using one-loop RGEs. The renormalized operator is combined with a 3+1 sterile sector to build the oscillation Hamiltonian, with Planck-suppressed terms treated perturbatively to yield closed-form first-order corrections. We report three substantive implementation errors identified and corrected during independent module validation. Running transports ultraviolet flavor structure with high fidelity distorting mixing angles and phases at or below the per-mille level despite an overall flavor-blind operator normalization run of about fifty percent. Subjecting the ultraviolet texture to a four-channel phenomenological suite (muon to electron gamma, tau to muon gamma, tau to electron gamma, non-unitarity, and perturbativity) confines the correction to the range between three in one hundred million and three in ten million at the natural scale. We prove the asymmetry correction is exactly independent of Casas-Ibarra angles at all allowed points, affecting the correction only indirectly via allowed heavy spectra. Sterile sector effects are strongly texture-dependent, ranging from suppression to a forty-fold enhancement. Evaluating the corresponding antineutrino Hamiltonian for the CP asymmetry, we find the Planck-induced correction lies two to three orders of magnitude below DUNE's published CP-phase sensitivity floor. We present this as a checked, reproducible negative phenomenological result.