Abstract We discuss the physics of the three neutrino flavor transformation with non-unitary mixing matrix, with particular attention to the correlation between the SM- and the 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 Standard Model CP phase – parameter phase correlation by analysis with the SOL convention of , in which is attached to . Then, a comparative study between the solar- and atmospheric-scale oscillation regions allowed by the framework reveals a dynamical –(blobs of the parameters) correlation in the solar oscillation region, in sharp contrast to the “chiral”-type phase correlation in the Particle Data Group convention seen in the atmospheric oscillation region. An explicit perturbative calculation to the first order in the 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 parameters.