Residual Z2×Z2 symmetries and lepton mixing
- Author(s)
- L. Lavoura, P. O. Ludl
- Abstract
We consider two novel scenarios of residual symmetries of the lepton mass matrices. Firstly we assume a Z2×Z2 symmetry
Gℓ for the charged-lepton mass matrix and a Z2 symmetry
Gν for the light neutrino mass matrix. With this setting, the moduli of the elements of one column of the lepton mixing matrix are fixed up to a reordering. One may interchange the roles of
Gℓ and
Gν in this scenario, thereby constraining a row, instead of a column, of the mixing matrix. Secondly we assume a residual symmetry group Gℓ≅Zm (m > 2) which is generated by a matrix with a doubly-degenerate eigenvalue. Then, with Gν≅Z2×Z2 the moduli of the elements of a row of the lepton mixing matrix get fixed. Using the library of small groups we have performed a search for groups which may embed
Gℓ and
Gν in each of these two scenarios. We have found only two phenomenologically viable possibilities, one of them constraining a column and the other one a row of the mixing matrix.
- Organisation(s)
- Particle Physics
- External organisation(s)
- Universidade Técnica de Lisboa
- Journal
- Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
- Volume
- 731
- Pages
- 331-336
- No. of pages
- 6
- ISSN
- 0370-2693
- DOI
- https://doi.org/10.1016/j.physletb.2014.03.001
- Publication date
- 04-2014
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics, 103034 Particle physics
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/7429f3f5-456a-43ba-98b8-94f978853052