Electroweak-Scale Majorana Neutrino Masses and Precision Phenomenology from Generalized Geometric Misalignment
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In this study, we explore the phenomenological implications of the renormalizable geometric misalignment (RGM) framework, which we recently proposed to naturally generate Majorana neutrino masses at the electroweak scale. Built upon a small misalignment between the SU (2) gauge representation space and the chiral fields, this purely geometric approach achieves the sub-eV degenerate masses without relying on high-scale energies or severe fine-tuning. To accommodate full flavor mixing and CP-violating phases, we generalize the original RGM model by promoting the real, diagonal misalignment matrix Θ to a complex and off-diagonal form. Comparing the non-unitary predictions from this extended theory against the recent experimental data reveals that the precision constraints, specifically the 2025 MicroBooNE null result, the 2025 μ + → e + γ decay limit from MEG II and the 2024 ATLAS W -decay universality measurement, favor the highly suppressed natural regime (| Θ | ∼ 10 -7 ) over the high-mixing scenario (| Θ | ~ 10 -1 ). We further analyze the one-loop radiative corrections to the induced non-unitarity parameter and confirm that it is radiatively stable, consistent with 't Hooft's naturalness criterion. Finally, we discuss the implications of the intermediate regime (| Θ | ∼ 10 -3 –10 -2 ) wherein the geometry-induced non-unitary mixing effects can serve as practical targets for future precision tests.