Walter Grimus et al JHEP07(2004)078 doi:10.1088/1126-6708/2004/07/078
Lepton mixing angle θ13 = 0 with a horizontal symmetry D4
Walter Grimus1, Anjan S. Joshipura2, Satoru Kaneko3, Luís Lavoura4 and Morimitsu Tanimoto5
Show affiliationsWe discuss a model for the lepton sector based on the seesaw mechanism and on a D4 family symmetry. The model predicts the mixing angle θ13 to vanish. The solar mixing angle θ12 is free—it will in general be large if one does not invoke finetuning. The model has an enlarged scalar sector with three Higgs doublets, together with two real scalar gauge singlets χi (i = 1,2) which have vacuum expectation values 
χi
0 at the seesaw scale. The atmospheric mixing angle θ23 is given by tan θ23 = χ20/χ10., and it is maximal if the lagrangian is D4-invariant; but D4 may be broken softly, by a term of dimension two in the scalar potential, and then χ20 becomes different from χ10. Thus, the strength of the soft D4 breaking controls the deviation of θ23 from π/4. The model predicts a normal neutrino mass spectrum (m3 > m2 > m1) and allows successful leptogenesis if m1 ~ 4 × 10−3 eV; these properties of the model are independent of the presence and strength of the soft D4 breaking.
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E-print Number: hep-ph/0407112
Cited: by |
Refers: to
- PACS
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14.60.Pq Neutrino mass and mixing
14.60.Lm Ordinary neutrinos (nue, numu, nutau)
12.60.-i Models beyond the standard model
11.30.Qc Spontaneous and radiative symmetry breaking
11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries
- Subjects
- Dates
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Issue 07 (July 2004)
Received 23 July 2004, accepted for publication 29 July 2004
Published 1 September 2004
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Lepton mixing angle θ13 = 0 with a horizontal symmetry D4
Walter Grimus et al JHEP07(2004)078
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