Alladi Ramakrishnan Hall

Predictions from High Scale Mixing Unification Hypothesis

Rahul Srivastava

IMSc

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 type of neutrinos, the renormalization group evolution “naturally” results in a non-zero and small value of leptonic mixing angle \theta_{13}. One of the important predictions of this analysis is the prediction for octant of the mixing angle \theta_{23}. 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 are novel and can be tested by present and future experiments.