{ "id": "hep-ph/0401206", "version": "v2", "published": "2004-01-26T16:53:19.000Z", "updated": "2004-03-24T12:04:44.000Z", "title": "On Deviations from Bimaximal Neutrino Mixing", "authors": [ "P. H. Frampton", "S. T. Petcov", "W. Rodejohann" ], "comment": "26 pages, 6 figures. Typos corrected, references added, to appear in NPB", "journal": "Nucl.Phys. B687 (2004) 31-54", "doi": "10.1016/j.nuclphysb.2004.03.014", "categories": [ "hep-ph" ], "abstract": "The PMNS neutrino mixing matrix U_{PMNS} is in general a product of two unitary matrices U_{lep} and U_{\\nu} arising from the diagonalization of the charged lepton and neutrino mass matrices, U_{PMNS} = U^{\\dagger}_{lep} U_{\\nu}. Assuming that U_{\\nu} is a bimaximal mixing matrix, we investigate the possible forms of U_{lep}. We identify three possible generic structures of U_{lep}, which are compatible with the existing data on neutrino mixing. One corresponds to a hierarchical ``CKM-like'' matrix. In this case relatively large values of the solar neutrino mixing angle \\theta_{sol}, and of |U_{e3}|^2, are typically predicted, \\tan^2\\theta_{sol} \\gtap 0.42, |U_{e3}|^2 \\gtap 0.02, while the atmospheric neutrino mixing angle \\theta_{atm} can deviate noticeably from \\pi/4, \\sin^2 2\\theta_{atm} \\gtap 0.95. The second corresponds to one of the mixing angles in U_{lep} being equal to \\pi/2, and predicts practically maximal atmospheric neutrino mixing \\sin^2 2\\theta_{atm} \\simeq 1. Large atmospheric neutrino mixing, \\sin^2 2\\theta_{atm} \\gtap 0.95, is naturally predicted by the third possible generic structure of U_{lep}, which corresponds to all three mixing angles in U_{lep} being large. We focus especially on the case of CP-nonconservation, analyzing it in detail. We show how the CP-violating phases, arising from the diagonalization of the neutrino and charged lepton mass matrices, contribute to the measured neutrino mixing observables.", "revisions": [ { "version": "v2", "updated": "2004-03-24T12:04:44.000Z" } ], "analyses": { "keywords": [ "bimaximal neutrino mixing", "maximal atmospheric neutrino mixing", "neutrino mixing angle", "predicts practically maximal atmospheric neutrino", "generic structure" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "inspire": 643332 } } }