Physics of parameter correlations around the solar-scale enhancement in neutrino theory with unitarity violation

We discuss the physics of the three neutrino flavor transformation with non-unitary mixing matrix, with particular attention to the correlation between the nu SM- and the alpha parameters which represent the effect of unitarity-violating (UV) new physics. Towards this goal, a new perturbative framework is created to illuminate the effect of non-unitarity in the region of the solar-scale enhanced oscillations. We refute the skepticism about the physical reality of the nu Standard Model CP phase delta-alpha parameter phase correlation by analysis with the SOL convention of U-MNS, in which e(+/- i delta) is attached to s(12). Then, a comparative study between the solar- and atmospheric-scale oscillation regions allowed by the framework reveals a dynamical delta-(blobs of the a parameters) correlation in the solar oscillation region, in sharp contrast to the "chiral"-type phase correlation [e(-i delta) (alpha) over bar (mu e), e(-i delta)(alpha) over bar (tau e), (alpha) over bar (tau mu)] in the Particle Data Group convention seen in the atmospheric oscillation region. An explicit perturbative calculation to the first order in the nu(mu) -> nu(e) channel allows us to decompose the UV related part of the probability into the unitary evolution part and the genuine non-unitary part. We observe that the effect of non-unitarity tends to cancel between these two parts, as well as between the different alpha(beta gamma) parameters.