# CP violation and quark-lepton complementarity of the neutrino mixing matrix

Zhukovsky, K. (Aff1, 0000 0001 2342 9668, grid.14476.30, Department of Theoretical Physics, Faculty of Physics, M.V. Lomonosov Moscow State University, 119991, Moscow, Russia) ; Davydova, A. A. (Aff1, 0000 0001 2342 9668, grid.14476.30, Department of Theoretical Physics, Faculty of Physics, M.V. Lomonosov Moscow State University, 119991, Moscow, Russia)

05 May 2019

Abstract: The comparative analysis of the neutrino mixing in the standard, cobimaximal and exponential parameterizations is performed. With the latest November 2018 data the logarithm of the mixing matrix is computed and the exact entries for the exponential matrix are obtained. The factorization of the real rotation and the CP violation in the exponential form of the mixing matrix is demonstrated. Quark-lepton complementarity hypothesis is reformulated, involving three mixing angles in the framework of the exponential parameterisation of the mixing matrix. It is shown that the cobimaximal parameterization, consistent with recent experimental data on neutrino mixing with the spread 3σ \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$3\sigma$\end{document} , can provide exact quark-lepton complementarity based on the data for all three mixing angles. The dependence of the CP violation degree on the parameterization parameters in the standard and the exponential forms is studied with the help of the Jarlskog invariant.

Published in: EPJC 79 (2019) 385 DOI: 10.1140/epjc/s10052-019-6896-z

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