{
  "id": "hep-ph/0508243",
  "version": "v1",
  "published": "2005-08-23T15:38:36.000Z",
  "updated": "2005-08-23T15:38:36.000Z",
  "title": "Majorana CP-Violating Phases, RG Running of Neutrino Mixing Parameters and Charged Lepton Flavour Violating Decays",
  "authors": [
    "S. T. Petcov",
    "T. Shindou",
    "Y. Takanishi"
  ],
  "comment": "26 pages, 5 figures",
  "journal": "Nucl.Phys. B738 (2006) 219-242",
  "doi": "10.1016/j.nuclphysb.2005.12.028",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We consider the MSSM with see-saw mechanism of neutrino mass generation and soft SUSY breaking with flavour-universal boundary conditions at the GUT scale, in which the lepton flavour violating (LFV) decays \\mu\\to e + \\gamma, \\tau\\to \\mu + \\gamma, etc.,are predicted with rates that can be within the reach of present and planned experiments. These predictions depend critically on the matrix of neutrino Yukawa couplings \\bf{Y_{\\nu}} which can be expressed in terms of the light and heavy right-handed (RH) neutrino masses, neutrino mixing matrix U_{PMNS}, and an orthogonal matrix \\bf{R}. We investigate the effects of Majorana CP-violation phases in U_{PMNS}, and of the RG running of light neutrino masses and mixing angles from M_Z to the RH Majorana neutrino mass scale M_R, on the predictions for the rates of LFV decays \\mu\\to e + \\gamma, \\tau \\to \\mu + \\gamma and \\tau\\to e + \\gamma. Results for neutrino mass spectrum with normal hierarchy, values of the lightest \\nu-mass in the range 0 \\leq m_1 \\leq 0.30 eV, and quasi-degenerate heavy RH Majorana neutrinos in the cases of \\bf{R} = \\bf{1} and complex matrix \\bf{R} are presented. We find that the effects of the Majorana CP-violation phases and of the RG evolution of neutrino mixing parameters can change by few orders of magnitude the predicted rates of the LFV decays \\mu \\to e + \\gamma and \\tau \\to e + \\gamma. The impact of these effects on the \\tau \\to \\mu + \\gamma decay rate is typically smaller and only possible for m_1 > 0.10 eV. If the RG running effects are negligible, in a large region of soft SUSY breaking parameter space the ratio of the branching ratios of the \\mu \\to e + \\gamma and \\tau \\to e + \\gamma (\\tau \\to \\mu + \\gamma) decays is entirely determined in the case of \\bf{R} \\cong \\bf{1} by the values of the neutrino mixing parameters at M_Z.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-23T15:38:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "charged lepton flavour violating decays",
      "neutrino mixing parameters",
      "majorana cp-violating phases",
      "rg running",
      "majorana neutrino mass scale"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 690549
    }
  }
}