Lepton mixing and discrete symmetries

By D. Hernández, A. Smirnov. 2012

210 citations recorded by the source corpus.

The pattern of lepton mixing can emerge from breaking a flavor symmetry in different ways in the neutrino and charged lepton Yukawa sectors. In this framework, we derive the conditions imposed on the mixing matrix by the structure of discrete groups of the von Dyck type which include A4, S4 and A5. We show that, in general, these conditions reduce to two equations for the mixing parameters (angles and CP phase \delta). These constraints, which correspond to unbroken residual symmetries, are consistent with non-zero 13 mixing and deviations from maximal 2-3 mixing. For the allowed values of mixing angles we predict \delta = 60 - 90^{\circ}.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0de20f3efc58eca48b94ade9a33b6329ceb10c2f

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In Nuclear and High Energy Physics

1. C. Luhn
2. S. King
3. Igor P. Ivanov
4. F. Feruglio
5. Z. Xing
6. S. Petcov

Citations in the corpus

• Neutrino mass and mixing with discrete symmetry (2013, methodology): “he solar and atmospheric angles, remains unaccounted for and must therefore be understood as a result of a mild tuning of parameters. A similar semi-direct approach was taken by Hernandez and Smirnov [113] in an effort to accommodate a sizable reactor angle. Focusing on the relevant von Dyck groups ”