Neutrino Masses and Mixing: Evidence and Implications

Abstract

Measurements of various features of the fluxes of atmospheric and solar neutrinos have provided evidence for neutrino oscillations and therefore for neutrino masses and mixing. We review the phenomenology of neutrino oscillations in vacuum and in matter. We present the existing evidence from solar and atmospheric neutrinos as well as the results from laboratory searches, including the final status of the LSND experiment. We describe the theoretical inputs that are used to interpret the experimental results in terms of neutrino oscillations. We derive the allowed ranges for the mass and mixing parameters in three frameworks: First, each set of observations is analyzed separately in a two-neutrino framework; Second, the data from solar and atmospheric neutrinos are analyzed in a three active neutrino framework; Third, the LSND results are added, and the status of accommodating all three signals in the framework of three active and one sterile light neutrinos is presented. We review the theoretical implications of these results: the existence of new physics, the estimate of the scale of this new physics and the lessons for grand unified theories, for supersymmetric models with R-parity violation, for models of extra dimensions and singlet fermions in the bulk, and for flavor models.

arXiv commentAdded note on the effects of KamLAND results. Two new figures

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• Essential Solar Neutrinos
• Global analysis of solar neutrinos (assumed to be Majorana particles) together with the new KamLAND data
• Search for R-Parity-Violation-Induced Charged Lepton Flavor Violation at Future Lepton Colliders
• Asymmetric emissions of neutrinos in the cooling of rotating proto-neutron stars
• Neutrino propagation in winds around the central engine of sGRB
• Fermion Masses and Mixing in Four and More Dimensions
• Neutrino Production via $e^{-}{e}^{+}$ Collision at $Z$-boson Peak
• Determination of the atmospheric neutrino fluxes from experimental data
• Proceedings to the workshops 'What comes beyond the Standard model', 2000, 2001, 2002, Volume 2: Proceedings (Part I)
• Comment on the cosmological constant for $\lambda {\varphi }^4$ theory in $d$ spacetime dimensions
• Extraction of the atmospheric neutrino fluxes from experimental event rate data
• Parametric resonance for antineutrino conversions using LSND best-fit results with a 3+1 flavor scheme
• Charged Higgs Pair Production at the LHC as a Probe of the Top-Seesaw Assisted Technicolor Models
• Seesaw mechanism and the baryon asymmetry
• Birth of Universe following Rupture of Fractal Structure Filaments
• Novel matter effects on neutrino oscillations observables
• Neutrinos in the Family Replicated Gauge Group Model
• CP symmetry violation in the scalar sector of 331 models
• Exploring nonstandard quark interactions through solar neutrino studies
• Differentiating short gamma-ray bursts progenitors through multi-MeV neutrinos
• Leptonic Flavor and CP Violation