Horizontal symmetries of leptons with a massless neutrino - INSPIRE

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Horizontal symmetries of leptons with a massless neutrino

Jun 8, 2013

8 pages

Published in:

Phys.Lett.B 727 (2013) 480-487

Published: 2013

e-Print:

1306.1890 [hep-ph]

DOI:

10.1016/j.physletb.2013.11.003

Report number:

TIFR-TH-13-19

View in:

ADS Abstract Service

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Abstract: (Elsevier)

Residual symmetry Gν of neutrino mass matrix with a massless neutrino and embedding of Gν and the residual symmetry Gl of the charged lepton mass matrix into finite discrete groups G is discussed. Massless neutrino results if Gν and hence G are subgroups of U(3) rather than of SU(3) . Structure of the resulting leptonic mixing matrix UPMNS is discussed in three specific examples based on groups (a) Σ(3N3) , (b) Σ(2N2) and (c) S4(2)≡A4⋊Z4 . Σ(3N3) groups are able to reproduce either the second or the third column of UPMNS correctly. Σ(2N2) groups lead to prediction θ13=0 , θ23=π4 for the reactor and atmospheric mixing angles respectively if neutrino mass hierarchy is inverted. Solar angle remains undetermined in this case. This also gets determined when G=S4(2) which can give bi-maximal mixing for inverted hierarchy. Examples (b) and (c) provide a good zeroth order approximation to realistic leptonic mixing with a massless neutrino. We also present an example of the specific model based on S4(2) symmetry in which a massless neutrino and viable leptonic mixing angles are obtained.

Note:

18 pages; a new section added, conclusions unchanged, version accepted for publication in Physics Letters B

11.30.Hv
14.60.Pq
11.30.Er
neutrino: massless
neutrino: mass: hierarchy
group: discrete
lepton: mass
neutrino: mixing
horizontal symmetry
nuclear reactor

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Figures(0)

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