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Predictions from high scale mixing unification hypothesis

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Abstract

Starting with ‘high scale mixing unification’ hypothesis, we investigate the renormalization group evolution of mixing parameters and masses for both Dirac and Majorana-type neutrinos. Following this hypothesis, the PMNS mixing parameters are taken to be identical to the CKM ones at a unifying high scale. Then, they are evolved to a low scale using MSSM renormalization group equations. For both types of neutrinos, the renormalization group evolution naturally results in a non-zero and small value of leptonic mixing angle 𝜃 13. One of the important predictions of this analysis is that, in both cases, the mixing angle 𝜃 23 turns out to be non-maximal for most of the parameter range. We also elaborate on the important differences between Dirac and Majorana neutrinos within our framework and how to experimentally distinguish between the two scenarios. Furthermore, for both cases, we also derive constraints on the allowed parameter range for the SUSY breaking and unification scales, for which this hypothesis works. The results can be tested by the present and future experiments.

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Acknowledgements

The author would like to thank the organizers for inviting him and giving him an opportunity to present his work at the International Workshop on Unification and Cosmology after Higgs Discovery and BICEP2-2014. This contribution is based on [13–15] and the author thanks G Rajasekaran, G Abbas and S Gupta for a fruitful collaboration.

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  1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600 113, India

    Rahul SRIVASTAVA

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  1. Rahul SRIVASTAVA
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SRIVASTAVA, R. Predictions from high scale mixing unification hypothesis. Pramana - J Phys 86, 425–436 (2016). https://doi.org/10.1007/s12043-015-1163-9

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