2005/09/30 by Walter Grimus, W. Grimus, L. Lavoura +1 · 5 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1088/1126-6708/2006/01/018
published as JHEP 0601 (2006) 018 · 16 pages, plain LaTeX, no figures; some clarifying remarks in the conclusions and references added, version accepted for publication in JHEP
arxiv created 2005/12/16 · openalex publication_date 2006/01/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a supersymmetric model in which the lepton mixing matrix U obeys, at the seesaw scale, the Harrison--Perkins--Scott Ansatz--vanishing Ue3, maximal atmospheric neutrino mixing, and sin2θ_\odot = 1/3 (θ_\odot is the solar mixing angle). The model features a permutation symmetry S3 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 S3. In addition, the model has seven \mathbbmZ2 symmetries, out of which six do not commute with S3. 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.