Regular Article - Theoretical Physics
CP violation and quark-lepton complementarity of the neutrino mixing matrix
Department of Theoretical Physics, Faculty of Physics, M.V. Lomonosov Moscow State University, Moscow, 119991, Russia
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Accepted: 18 April 2019
Published online: 4 May 2019
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 , 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.
© The Author(s), 2019