{
  "id": "1303.3357",
  "version": "v2",
  "published": "2013-03-14T06:16:42.000Z",
  "updated": "2013-10-01T06:13:45.000Z",
  "title": "Perturbative Bottom-up Approach for Neutrino Mass Matrix in Light of Large θ_{13} and Role of Lightest Neutrino Mass",
  "authors": [
    "Rupak Dutta",
    "Upender Ch",
    "Anjan K. Giri",
    "Narendra Sahu"
  ],
  "comment": "26 pages, 42 eps figures, revtex (references are added, more discussions are added in section-III)",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We discuss the role of lightest neutrino mass (m_0) in the neutrino mass matrix, defined in a flavor basis, through a bottom-up approach using the current neutrino oscillation data. We find that if m_0 < 10^{-3} eV, then the deviation \\delta M_\\nu in the neutrino mass matrix from a tree-level, say tribimaximal neutrino mass matrix, does not depend on m_0. As a result \\delta M_\\nu's are exactly predicted in terms of the experimentally determined quantities such as solar and atmospheric mass squared differences and the mixing angles. On the other hand for m_0 \\gsim 10^{-3} eV, \\delta M_\\nu strongly depends on m_0 and hence can not be determined within the knowledge of oscillation parameters alone. In this limit, we provide an exponential parameterization for \\delta M_\\nu for all values of m_0 such that it can factorize the m_0 dependency of \\delta M_\\nu from rest of the oscillation parameters. This helps us in finding \\delta M_\\nu as a function of the solar and atmospheric mass squared differences and the mixing angles for all values of m_0. We use this information to build up a model of neutrino masses and mixings in a top-down scenario which can predict large \\theta_{13} perturbatively.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-01T06:13:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.60.Pq",
      "13.15.+g"
    ],
    "keywords": [
      "lightest neutrino mass",
      "perturbative bottom-up approach",
      "atmospheric mass squared differences",
      "current neutrino oscillation data",
      "oscillation parameters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0217751X14501139",
      "journal": "International Journal of Modern Physics A",
      "year": 2014,
      "month": "Aug",
      "volume": 29,
      "number": 22,
      "pages": 1450113
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1223869,
      "adsabs": "2014IJMPA..2950113D"
    }
  }
}