{ "id": "1106.5202", "version": "v3", "published": "2011-06-26T09:35:43.000Z", "updated": "2012-03-08T02:24:02.000Z", "title": "Neutrino Mass Matrix with No Adjustable Parameters", "authors": [ "Yoshio Koide", "Hiroyuki Nishiura" ], "comment": "18 pages, 4 figures, title changed, version accepted by EPJC", "categories": [ "hep-ph" ], "abstract": "On the basis of the so-called \"yukawaon\" model, we found out a special form of the neutrino mass matrix $M_\\nu$ which gives reasonable predictions. The $M_\\nu$ is given by a multiplication form made of charged lepton mass matrix $M_e$ and up-quark mass matrix $M_u$. This $M_\\nu$ has no adjustable parameters except for those in $M_e$ and $M_u$. Here, $M_e$ and $M_u$ are described by one parameter $a_e$ (real) and two parameters $a_u$ (complex), respectively, and those parameters are constrained by their observed mass ratios. With this form of $M_\\nu$, in spite of having only three parameters, the $M_\\nu$ can give reasonable predictions $\\sin^2 2\\theta_{atm} \\simeq 0.99$, $\\sin^2 2\\theta_{13} \\simeq 0.015$, $\\Delta m^2_{21}/\\Delta m^2_{32} \\simeq 0.030$, $< m_{ee}> \\simeq 0.0039$ eV, and so on, by using observed values of $m_e/m_\\mu$, $m_\\mu/m_\\tau$, $m_c/m_t$, and $\\sin^2 \\theta_{solar}$ as input values.", "revisions": [ { "version": "v3", "updated": "2012-03-08T02:24:02.000Z" } ], "analyses": { "subjects": [ "14.60.Pq", "11.30.Hv", "12.60.-i" ], "keywords": [ "neutrino mass matrix", "adjustable parameters", "up-quark mass matrix", "reasonable predictions", "charged lepton mass matrix" ], "tags": [ "journal article" ], "publication": { "doi": "10.1140/epjc/s10052-012-1933-1", "journal": "European Physical Journal C", "year": 2012, "month": "Mar", "volume": 72, "pages": 1933 }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "inspire": 915955, "adsabs": "2012EPJC...72.1933K" } } }