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Department of Mathematical Sciences

# Seminar Archives

## CPT Student Seminar: Mixing angle and phase predictions from A5 with generalised CP

Presented by Jessica Turner, Durham University

16 February 2015 17:00 in OC218

The observed neutrino mixing pattern could be explained by the presence of a discrete flavour symmetry broken into residual supgroups at low energies. In this scenario, the presence of a residual generalised CP symmetry allows the phases of the PMNS matrix to be predicted as well as the mixing angles. In this article, we study all such predictions associated with the symmetry group A$_5$. We present a derivation of the most general CP symmetry allowed in this context, and compute the predictions of all possible preserved subgroups. We identify those patterns which satsify the present experimental bounds on the mixing parameters and discuss the predicted correlations between angles and phases, including the Majorana phases $\alpha_{21}$ and $\alpha_{31}$. We find that there are $8$ patterns of mixing angles and phases described in terms of a single unknown parameter which can be brought into agreement with current global data. These patterns describe certain correlations between mixing parameters which can be tested by high-precision measurements. To assess this potential, we then focus on upcoming superbeam, reactor and neutrinoless double beta decay experiments, and highlight a number of experimental observations, both from experiments in isolation and in combination, which will allow these predictions to be thoroughly investigated.