  We have derived previously the relations between the neutrino masses and
mixing angles in a dispersive analysis on the mixing of neutral leptonic
states. The only involved assumption is that the electroweak symmetry of the
Standard Model (SM) is restored at a high energy scale in some new physics
scenario, which diminishes the box diagrams responsible for the mixing. Here we
include corrections to the analysis up to three loops, arising from exchanges
of additional neutral and charged scalars in the electroweak symmetric phase.
The solution to the dispersion relation for the $\mu^-e^+$-$\mu^+e^-$ mixing
generates a typical neutrino mass $m_\nu\sim O(1)$ eV in the SM unambiguously.
The solution also favors the normal ordering of the neutrino masses over the
inverted one, and links the large electroweak symmetry restoration, i.e., new
physics scale to the small neutrino mass.
