Renormalization Group Running of the Neutrino Mass Operator in Extra Dimensions

Abstract

We study the renormalization group (RG) running of the neutrino masses and the leptonic mixing parameters in two different extra-dimensional models, namely, the Universal Extra Dimensions (UED) model and a model, where the Standard Model (SM) bosons probe an extra dimension and the SM fermions are confined to a four-dimensional brane. In particular, we derive the beta function for the neutrino mass operator in the UED model. We also rederive the beta function for the charged-lepton Yukawa coupling, and confirm some of the existing results in the literature. The generic features of the RG running of the neutrino parameters within the two models are analyzed and, in particular, we observe a power-law behavior for the running. We note that the running of the leptonic mixing angle θ_{12} can be sizable, while the running of θ_{23} and θ_{13} is always negligible. In addition, we show that the tri-bimaximal and the bimaximal mixing patterns at a high-energy scale are compatible with low-energy experimental data, while a tri-small mixing pattern is not. Finally, we perform a numerical scan over the low-energy parameter space to infer the high-energy distribution of the parameters. Using this scan, we also demonstrate how the high-energy θ_{12} is correlated with the smallest neutrino mass and the Majorana phases.

20 pages, 5 figures, REVTeX4-1. (v2) Final version published in J. High Energy Phys. (v3) A short clarification at the end of the appendix has been added

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• Updated Values of Running Quark and Lepton Masses
• Dark Matter and Collider Phenomenology of Universal Extra Dimensions
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• Renormalization group running of neutrino parameters in the inverse seesaw model
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• Systematic search for successful lepton mixing patterns with nonzero theta_13
• Universal extra dimensions after Higgs discovery
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• Higgs Couplings at High Scales
• RG running in a minimal UED model in light of recent LHC Higgs mass bounds
• Renormalisation running of masses and mixings in UED models
• Running of Neutrino Parameters and the Higgs Self-Coupling in a Six-Dimensional UED Model
• Trilinear gauge boson couplings in the standard model with one universal extra dimension
• Radiative corrections to the leptonic Dirac CP-violating phase
• Hidden symmetries induced by a canonical transformation and gauge structure of compactified Yang-Mills theories
• Radiative Corrections to the Solar Lepton Mixing Sum Rule
• Distinctive ultraviolet structure of extra-dimensional Yang-Mills theories by integration of heavy Kaluza-Klein modes
• Improved vacuum stability in a five dimensional model
• Renormalization Group Running of Lepton Mixing Parameters in See-Saw Models with $S_4$ Flavor Symmetry
• Notes on sphere-based universal extra dimensions
• Breaking of the tetra-maximal neutrino mixing pattern