{ "id": "0807.0420", "version": "v2", "published": "2008-07-02T18:31:51.000Z", "updated": "2008-09-17T02:11:14.000Z", "title": "Deviation from Tri-Bimaximal Neutrino mixing from the Charged Lepton Sector", "authors": [ "Alakabha Datta" ], "comment": "14 pages, no figures. Material and references added and reorganized. Conclusions are unchanged", "categories": [ "hep-ph" ], "abstract": "The tri-bimaximal mixing matrix is most likely the leading order term in the description of leptonic mixing. We derive deviations from tri-bimaximal mixing(TBM) due to corrections from the charged lepton sector. We assume a decoupled 2-3 symmetry, which is a $Z_2$ symmetry, in the charged lepton sector and another $Z_2$ symmetry in the neutrino sector. The TBM is obtained in the flavor symmetric limit. We consider deviations from the TBM form arising from the breaking of the 2-3 symmetry in the charged lepton sector but do not consider deviations from the breaking of the flavor symmetry in the neutrino sector. In particular we find the size of $\\sin{\\theta_{13}}$ to be related to the deviation $\\sin{\\theta_{12}}$ from $\\sqrt{1/3}$ while the deviation of $\\sin{\\theta_{23}}$ from its tri-bimaximal value is $ \\sim {m_{\\mu} \\over m_{\\tau}}$.", "revisions": [ { "version": "v2", "updated": "2008-09-17T02:11:14.000Z" } ], "analyses": { "keywords": [ "charged lepton sector", "tri-bimaximal neutrino mixing", "neutrino sector", "flavor symmetric limit", "tri-bimaximal value" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "inspire": 789788, "adsabs": "2008arXiv0807.0420D" } } }