Leptogenesis and Low Energy CP Violation in Neutrino Physics

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dc.creatorPascoli, S.
dc.creatorPetcov, S. T.
dc.creatorRiotto, Antonio
dc.date2006-11-27
dc.date2007-01-24
dc.date.accessioned2026-07-07T10:37:27Z
dc.date.available2026-07-07T10:37:27Z
dc.descriptionTaking into account the recent progress in the understanding of the lepton flavour effects in leptogenesis, we investigate in detail the possibility that the CP-violation necessary for the generation of the baryon asymmetry of the Universe is due exclusively to the Dirac and/or Majorana CP-violating phases in the PMNS neutrino mixing matrix U, and thus is directly related to the low energy CP-violation in the lepton sector (e.g., in neutrino oscillations, etc.). We first derive the conditions of CP-invariance of the neutrino Yukawa couplings lambda in the see-saw Lagrangian, and of the complex orthogonal matrix R in the ``orthogonal'' parametrisation of lambda. We show, e.g. that under certain conditions i) real R and specific CP-conserving values of the Majorana and Dirac phases can imply CP-violation, and ii) purely imaginary R does not necessarily imply breaking of CP-symmetry. We study in detail the case of hierarchical heavy Majorana neutrino mass spectrum, presenting results for three possible types of light neutrino mass spectrum: i) normal hierarchical, ii) inverted hierarchical, and iii) quasi-degenerate. Results in the alternative case of quasi-degenerate in mass heavy Majorana neutrinos, are also derived. The minimal supersymmetric extension of the Standard Theory with right-handed Majorana neutrinos and see-saw mechanism of neutrino mass generation is discussed as well. We illustrate the possible correlations between the baryon asymmetry of the Universe and i) the rephasing invariant J_CP controling the magnitude of CP-violation in neutrino oscillations, or ii) the effective Majorana mass in neutrinoless double beta decay, in the cases when the only source of CP-violation is respectively the Dirac or the Majorana phases in the neutrino mixing matrix.
dc.description60 pages, 18 eps figures; few typos corrected, discussion extended in Section 5.3.2 and correspondingly in the Conclusions, 1 reference added for Section 1, 4 figures added and one deleted, results unchanged
dc.identifierhttps://arxiv.org/abs/hep-ph/0611338
dc.identifierhttp://arxiv.org/abs/hep-ph/0611338
dc.identifierNucl.Phys.B774:1-52,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.02.019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180388
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLeptogenesis and Low Energy CP Violation in Neutrino Physics
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