Regular Article - Theoretical Physics
Exponential parameterization of neutrino mixing matrix with account of CP-violation data
Department of Theoretical Physics, Faculty of Physics, M.V. Lomonosov Moscow State University, Moscow, 119991, Russia
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Accepted: 1 August 2016
Published online: 17 August 2016
The exponential parameterization of the Pontecorvo–Maki–Nakagawa–Sakata mixing matrix for neutrinos is discussed. The exponential form allows easy factorization and separate analysis of the CP-violating and Majorana terms. Based upon the recent experimental data on the neutrino mixing, the values for the exponential parameterization matrix for neutrinos are determined. The matrix entries for the pure rotational part in charge of the mixing without CP violation are derived. The complementarity hypothesis for quarks and neutrinos is demonstrated. A comparison of the results based on most recent and on old data is presented. The CP-violating parameter value is estimated, based on the so far imprecise experimental indications, regarding CP violation for neutrinos. The unitarity of the exponential parameterization and the CP-violating term transform is confirmed. The transform of the neutrino mass state vector by the exponential matrix with account of CP violation is shown.
© The Author(s), 2016