{"arxiv_id":"hep-ph/0508231","title":"Neutrino Mass Matrix from S_4 Symmetry","abstract":"The cubic symmetry S_4 contains A_4 and S_3, both of which have been used to study neutrino mass matrices. Using S_4 as the family symmetry of a complete supersymmetric theory of leptons, it is shown how the requirement of breaking S_4 at the seesaw scale without breaking supersymmetry enforces a special form of the neutrino mass matrix which exhibits maximal nu_mu - nu_tau mixing as well as zero U_e3. In addition, (nu_e + nu_mu + nu_tau)/sqrt{3} is naturally close to being a mass eignestate, thus predicting tan^2 theta_12 to be near but not equal to 1/2.","primary_cat":"hep-ph","cross_cats":[],"submitted_at":"2005-08-22T09:31:05+00:00","latest_version":2,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"MODERATE","one_line_summary":"Requiring unbroken supersymmetry at the seesaw scale in an S4-symmetric lepton model forces a neutrino mass matrix with maximal mu-tau mixing, zero U_e3, and a solar angle near 1/2.","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":15,"_links":{"html":"https://pith.science/paper/hep-ph/0508231","verdict":"/api/v1/verdicts/hep-ph/0508231"}}