A model realizing the Harrison-Perkins-Scott lepton mixing matrix

Abstract

We present a supersymmetric model in which the lepton mixing matrix $U$ obeys, at the seesaw scale, the Harrison--Perkins--Scott \textit{Ansatz}--vanishing $U_{e3}$, maximal atmospheric neutrino mixing, and ${\sin }^2{\theta }_{\odot }=1/3$ (${\theta }_{\odot }$ is the solar mixing angle). The model features a permutation symmetry $S_3$ among the three lepton multiplets of each type--left-handed doublets, right-handed charged leptons, and right-handed neutrinos--and among three Higgs doublets and three zero-hypercharge scalar singlets; a fourth right-handed neutrino, a fourth Higgs doublet, and a fourth scalar singlet are invariant under $S_3$. In addition, the model has seven $\mathbbm{Z}_2$ symmetries, out of which six do not commute with $S_3$. Supersymmetry is needed in order to eliminate some quartic terms from the scalar potential, quartic terms which would make impossible to obtain the required vacuum expectation values of the three Higgs doublets and three scalar singlets. The Yukawa couplings to the charged leptons are flavour diagonal, so that flavour-changing neutral Yukawa interactions only arise at loop level.

16 pages, plain LaTeX, no figures; some clarifying remarks in the conclusions and references added, version accepted for publication in JHEP

References in corpus (22)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Status of global fits to neutrino oscillations
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• A discrete symmetry group for maximal atmospheric neutrino mixing
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Neutrino Mass Matrix from S_4 Symmetry
• Aspects of the Tetrahedral Neutrino Mass Matrix
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Softly broken lepton numbers and maximal neutrino mixing
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• The seesaw mechanism at arbitrary order: disentangling the small scale from the large scale
• S3 x Z2 model for neutrino mass matrices
• Generation of large flavor mixing from radiative corrections
• Generalized Tri-bimaximal Neutrino Mixing and Its Sensitivity to Radiative Corrections
• Soft lepton-flavor violation in a multi-Higgs-doublet seesaw model
• Seesaw model with softly broken L_e - L_μ- L_τ
• Large Neutrino Mixing from Renormalization Group Evolution
• Combined potential of future long-baseline and reactor experiments

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