{
  "id": "hep-ph/0211338",
  "version": "v3",
  "published": "2002-11-21T18:31:29.000Z",
  "updated": "2003-02-28T19:13:35.000Z",
  "title": "Neutrino Mass Matrix and Hierarchy",
  "authors": [
    "Peter Kaus",
    "Sydney Meshkov"
  ],
  "comment": "8 pages, LaTex, This paper updates an earlier version by incorporating KamLAND data",
  "journal": "AIP Conf.Proc. 672 (2003) 117-125",
  "doi": "10.1063/1.1594399",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We build a model to describe neutrinos based on strict hierarchy, incorporating as much as possible, the latest known data, for $\\Delta_{sol}$ and $\\Delta_{atm}$, and for the mixing angles determined from neutrino oscillation experiments, including that from KamLAND. Since the hierarchy assumption is a statement about mass ratios, it lets us obtain all three neutrino masses. We obtain a mass matrix, $M_\\nu$ and a mixing matrix, $U$, where both $M_\\nu$ and $U$ are given in terms of powers of $\\Lambda$, the analog of the Cabibbo angle $\\lambda$ in the Wolfenstein representation, and two parameters, $\\rho$ and $\\kappa$, each of order one. The expansion parameter, $\\Lambda$, is defined by $\\Lambda^2 = m_2/m_3 = \\surd (\\Delta_{sol}/\\Delta_{atm}) \\approx$ 0.16, and $\\rho$ expresses our ignorance of the lightest neutrino mass $m_1, (m_1 = \\rho \\Lambda^4 m_3$), while $\\kappa$ scales $s_{13}$ to the experimental upper limit, $s_{13} = \\kappa \\Lambda^2 \\approx 0.16 \\kappa$. These matrices are similar in structure to those for the quark and lepton families, but with $\\Lambda$ about 1.6 times larger than the $\\lambda$ for the quarks and charged leptons. The upper limit for the effective neutrino mass in double $\\beta$-decay experiments is $4 \\times 10^{-3} eV$ if $s_{13} = 0$ and $6 \\times 10^{-3} eV$ if $s_{13}$ is maximal. The model, which is fairly unique, given the hierarchy assumption and the data, is compared to supersymmetric extension and texture zero models of mass generation.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-02-28T19:13:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.60.Pq",
      "12.15.Ff"
    ],
    "keywords": [
      "neutrino mass matrix",
      "hierarchy assumption",
      "neutrino oscillation experiments",
      "experimental upper limit",
      "lightest neutrino mass"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "AIP Conf. Proc."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 602636,
      "adsabs": "2003AIPC..672..117K"
    }
  }
}