Residual $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetries and lepton mixing - INSPIRE

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Residual $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetries and lepton mixing

Luis Lavoura
(
- Lisbon, IST and
- Lisbon, CFTP
)
,
Patrick Otto Ludl
(
- Vienna U.
)

Jan 20, 2014

6 pages

Published in:

Phys.Lett.B 731 (2014) 331-336

Published: Apr 4, 2014

e-Print:

1401.5036 [hep-ph]

DOI:

10.1016/j.physletb.2014.03.001

Report number:

CFTP-14-002,
UWTHPH-2014-5

View in:

ADS Abstract Service

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Abstract: (Elsevier)

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.

Note:

14 pages, 1 figure

new physics
lepton: mixing
lepton: mass
lepton: charged particle
lepton: symmetry
symmetry: Z(2) x Z(2)
symmetry: Z(2)
neutrino: mass
neutrino: mixing

References(41)

Figures(1)

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(
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