{ "id": "0907.2869", "version": "v1", "published": "2009-07-16T15:48:13.000Z", "updated": "2009-07-16T15:48:13.000Z", "title": "Large U_{e3} and Tri-bimaximal Mixing", "authors": [ "Srubabati Goswami", "Serguey Petcov", "Shamayita Ray", "Werner Rodejohann" ], "comment": "20 pages, 9 figures", "journal": "Phys.Rev.D80:053013, 2009", "doi": "10.1103/PhysRevD.80.053013", "categories": [ "hep-ph", "hep-ex" ], "abstract": "We investigate in a model-independent way to what extent one can perturb tri-bimaximal mixing in order to generate a sizable value of |U_{e3}|, while at the same time keeping solar neutrino mixing near its measured value, which is close to sin^2 theta_{12} = 1/3. Three straightforward breaking mechanisms to generate |U_{e3}| of about 0.1 are considered. For charged lepton corrections, the suppression of a sizable contribution to sin^2 theta_{12} can be achieved if CP violation in neutrino oscillations is almost maximal. Generation of the indicated value of |U_{e3}| of about 0.1 through renormalization group corrections requires the neutrinos to be quasi-degenerate in mass. The consistency with the allowed range of sin^2 theta_{12} together with large running of |U_{e3}| forces one of the Majorana phases to be close to pi. This implies large cancellations in the effective Majorana mass governing neutrino-less double beta, constraining it to lie near its minimum allowed value of m_0 cos 2 theta_{12}, where m_0 is greater than about 0.1 eV. Finally, explicit breaking of the neutrino mass matrix in the inverted hierarchical and quasi-degenerate neutrino mass spectrum cases is similarly correlated with the effective Majorana mass, although to a lesser extent. The implied values for the atmospheric neutrino mixing angle theta_{23} are given in all cases.", "revisions": [ { "version": "v1", "updated": "2009-07-16T15:48:13.000Z" } ], "analyses": { "subjects": [ "14.60.Pq", "14.60.St", "12.60.-i" ], "keywords": [ "tri-bimaximal mixing", "keeping solar neutrino mixing", "majorana mass governing neutrino-less", "quasi-degenerate neutrino mass spectrum cases", "effective majorana mass" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2009, "month": "Sep", "volume": 80, "number": 5, "pages": "053013" }, "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "inspire": 825912, "adsabs": "2009PhRvD..80e3013G" } } }