The European Physical Journal C

, Volume 55, Issue 4, pp 547–552 | Cite as

Neutrino mixing and the exponential form of the Pontecorvo–Maki–Nakagawa–Sakata matrix

Regular Article - Theoretical Physics

Abstract

The form of the neutrino mixing matrix is discussed. The exponential parameterisation of the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) matrix is proposed and the generation of the new unitary parameterisation of the neutrino mixing matrix by the exponential form is demonstrated. The CP violating phase and the Majorana phases in the PMNS matrix are accounted for by a special term, separated from the rotational one. The O(3) rotation matrix in the angle-axis form is discussed in the context of such a representation of the mixing matrix. Its properties are reviewed in the context of the unitarity requirement.

Keywords

Neutrino Mass Neutrino Oscillation Sterile Neutrino Exponential Form Majorana Phase 

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2008

Authors and Affiliations

  1. 1.Gruppo Fisica Teorica e Matematica Applicata Unita Tecnico Scientifica Tecnologie Fisiche Avanzante (FIS-MAT)ENEA – Centro Ricerche FrascatiFrascatiItaly
  2. 2.Dept. of Optics and Spectroscopy, Faculty of PhysicsM.V. Lomonosov Moscow State UniversityMoscowRussia

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