Radiative corrections to the leptonic Dirac CP-violating phase

Abstract

Since the smallest leptonic mixing angle theta_{13} has been measured to be relatively large, it is quite promising to constrain or determine the leptonic Dirac CP-violating phase delta in future neutrino oscillation experiments. Given some typical values of delta = pi/2, pi, and 3pi/2 at the low-energy scale, as well as current experimental results of the other neutrino parameters, we perform a systematic study of the radiative corrections to delta by using the one-loop renormalization group equations in the minimal supersymmetric standard model and the universal extra-dimensional model. It turns out that delta is rather stable against radiative corrections in both models, except for the minimal supersymmetric standard model with a very large value of tan beta. Both cases of Majorana and Dirac neutrinos are discussed. In addition, we use the preliminary indication of delta = (1.08^{+0.28}_{-0.31}) pi or delta = (1.67^{+0.37}_{-0.77}) pi from the latest global-fit analyses of data from neutrino oscillation experiments to illustrate how it will be modified by radiative corrections.

23 pages, 4 eps figures, minor changes, matches the published version

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• Renormalization group running of neutrino parameters
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking
• Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• Integral solutions to the one-loop renormalization-group equations for lepton flavor mixing parameters and the Jarlskog invariant
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories
• Accurate renormalization group analyses in neutrino sector
• Testing the RG Running of the Leptonic Dirac CP Phase with Reactor Neutrinos