UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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Conference: Bucharest University Faculty of Physics 2018 Meeting


Section: Nuclear and Elementary Particles Physics


Title:
The problem of the threefold maximal neutrino mixing


Authors:
Stelian MIHALCEANU, Ionel LAZANU


Affiliation:
University of Bucharest, Faculty of Physics, POBox MG-11, Magurele-Bucharest, Romania


E-mail
stelian.physics@gmail.com


Keywords:


Abstract:
Since the discovery of neutrino oscillations, the structure of leptonic mixing matrix has been an active topic of research. About sixty years of experiments using solar and atmospheric data, as well as accelerator and reactor data did not clarify the structure of leptonic mixing matrix. There has been a flood of both theoretical and experimental activity aiming to determine and understand the structure of leptonic mixing matrix. This matrix has been modelled in different ways. Harrison, Perkins, and Scott [1] proposed a threefold maximal mixing scheme and subsequently a new Bi-Maximal Mixing model. Threefold maximal mixing or tri-maximal mixing refers to the highly symmetric, maximally CP-violating, configuration characterized by a unitary matrix having all its elements equal in modulus (the complex cube roots of unity). These suppositions imply cyclic permutation symmetry among the generations of neutrinos. These classical assumptions are now being discussed [2] and in this communication the main elements of the original hypotheses are re-analysed.


References:

[1] P. F. Harrison, D. H. Perkins, W. G. Scott, Phys. Lett. B349 (1995) 137-144



[2] P. Chen, S. C. Chulia, G-J. Ding, R. Srivastava, J. W. F. Valle, arXiv:1806.03367