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Renormalization group running of the neutrino mass operator in extra dimensions

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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.

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Authors and Affiliations

  1. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, München, Germany

    Mattias Blennow

  2. Department of Theoretical Physics, School of Engineering Sciences, Royal Institute of Technology (KTH) – AlbaNova University Center, Roslagstullsbacken 21, 106 91, Stockholm, Sweden

    Henrik Melbéus & Tommy Ohlsson

  3. Max-Planck-Institut für Kernphysik, Postfach 103980, 69029, Heidelberg, Germany

    He Zhang

Authors
  1. Mattias Blennow
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  2. Henrik Melbéus
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  3. Tommy Ohlsson
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  4. He Zhang
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Correspondence to Henrik Melbéus.

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ArXiv ePrint: 1101.2585

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Blennow, M., Melbéus, H., Ohlsson, T. et al. Renormalization group running of the neutrino mass operator in extra dimensions. J. High Energ. Phys. 2011, 52 (2011). https://doi.org/10.1007/JHEP04(2011)052

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