SL2, 7 representations and their relevance to neutrino physicsReport as inadecuate

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The European Physical Journal C

, 77:370

First Online: 05 June 2017Received: 22 December 2016Accepted: 15 May 2017DOI: 10.1140-epjc-s10052-017-4919-1

Cite this article as: Aliferis, G., Leontaris, G.K. & Vlachos, N.D. Eur. Phys. J. C 2017 77: 370. doi:10.1140-epjc-s10052-017-4919-1


The investigation of the rôle of finite groups in flavor physics and, particularly, in the interpretation of the neutrino data has been the subject of intensive research. Motivated by this fact, in this work we derive the three-dimensional unitary representations of the projective linear group \PSL 27\. Based on the observation that the generators of the group exhibit a Latin square pattern, we use available computational packages on discrete algebra to determine the generic properties of the group elements. We present analytical expressions and discuss several examples which reproduce the neutrino mixing angles in accordance with the experimental data.

Author: G. Aliferis - G. K. Leontaris - N. D. Vlachos


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