2019/08/13 by Martinez-Soler, Ivan, Minakata, Hisakazu
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.1908.04855
We discuss physics of the three neutrino flavor transformation with non-unitary mixing matrix, with particular attention to the correlation between the νSM- and the α parameters which represent effect of unitarity violating (UV) new physics. Toward the goal, a new perturbative framework is created to illuminate the effect of non-unitarity in region of the solar-scale enhanced oscillations. We refute the skepticism about the physical reality of the νSM CP δ - α parameter phase correlation by analysis with the SOL convention of U\tiny MNS in which e ± i δ is attached to s12. Then, a comparative study between the solar- and atmospheric-scale oscillation regions allowed by the framework reveals a dynamical δ-(blobs of the α parameters) correlation in the solar oscillation region, in sharp contrast to the ``chiral'' type phase correlation [e- i δ αμe, e - i δ ατe, ατμ] in the PDG convention seen in the atmospheric oscillation region. An explicit perturbative calculation to first order in the νμ → νe 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 αβγ parameters.