Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences

Abstract

We derive simple analytical formulae for the renormalization group running of neutrino masses, leptonic mixing angles and CP phases, which allow an easy understanding of the running. Particularly for a small angle theta_13 the expressions become very compact, even when non-vanishing CP phases are present. Using these equations we investigate: (i) the influence of Dirac and Majorana phases on the evolution of all parameters, (ii) the implications of running neutrino parameters for leptogenesis, (iii) changes of the mass bounds from WMAP and neutrinoless double beta decay experiments, relevant for high-energy mass models, (iv) the size of radiative corrections to theta_13 and theta_23 and implications for future precision measurements.

39 pages, 21 figures; v2: minor changes, references added, acknowledgements extended

References in corpus (14)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Neutrino Mass Window for Baryogenesis
• On the Connection of Leptogenesis with Low Energy CP Violation and LFV Charged Lepton Decays
• High scale mixing unification and large neutrino mixing angles
• Synergies between the first-generation JHF-SK and NuMI superbeam experiments
• LMA MSW solution of the solar neutrino problem and first KamLAND results
• The Complementarity of Eastern and Western Hemisphere Long-Baseline Neutrino Oscillation Experiments
• U(e3) from physics above the GUT scale
• Dynamical Electroweak Symmetry Breaking by a Neutrino Condensate
• Can radiative magnification of mixing angles occur for two-zero neutrino mass matrix textures?
• Radiative corrections to neutrino mass matrix in the Standard Model and beyond
• Predictive Framework with a Pair of Degenerate Neutrinos at a high scale
• Radiatively Generated ${\nu }_e$ Oscillations: General Analysis, Textures and Models
• News on Leptogenesis

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