Faculty of Physics
M.V. Lomonosov Moscow State University
Regular Article

The exponential parameterization of the neutrino mixing matrix as SU(3) group element and the account for new experimental data

K. Zhukovsky

Moscow University Physics Bulletin 2017. N 5.

  • Article

The exponential form of the Pontecorvo-Maki-Nakagawa-Sakata mixing matrix for neutrino is considered in the context of the fundamental representation of the SU(3) group. The logarithm of the mixing matrix is obtained. Based on the most recent experimental data on neutrino mixing, the exact values of the entries of the exponential matrix are calculated. The exact values for its real and imaginary parts are determined, respectively in charge of the mixing without CP violation and of the pure CP violation effect. The hypothesis of complementarity for quarks and neutrinos is confirmed. The factorization of the exponential mixing matrix, which allows the separation of the mixing and of the CP violation itself in the form of the product of the rotations around real and imaginary axes is demonstrated.

Received: 2016 September 22
Approved: 2017 December 4
14.60.Pq Neutrino mass and mixing
12.15.Ff Quark and lepton masses and mixing
11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries
02.20.-a Group theory
K. Zhukovsky
Department of Theoretical Physics, Faculty of Physics, M.V.Lomonosov Moscow State University, Moscow 119991, Russia
Issue 5, 2017

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