Addressing neutrino mixing models with DUNE and T2HK

Abstract

We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on 3ν mixing schemes in which the cosine of the Dirac CP violation phase δ CP satisfies a sum rule by which it is expressed in terms of three neutrino mixing angles θ 12 , θ 23 , and θ 13 , and a fixed real angle θ ν 12 , whose value depends on the employed discrete symmetry and its breaking. We consider five underlying symmetry forms of the neutrino mixing matrix: bimaximal (BM), tri-bimaximal (TBM), golden ratio A (GRA) and B (GRB), and hexagonal (HG). For each symmetry form, the sum rule yields specific prediction for cos δ CP for fixed θ 12 , θ 23 , and θ 13 . In the context of the proposed DUNE and T2HK facilities, we study (i) the compatibility of these predictions with present neutrino oscillation data, and (ii) the potential of these experiments to discriminate between various symmetry forms.

Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects

“…On the other hand, the sensitivities could also be biased by the potential presence of new physics beyond the SM, such as non-standard neutrino interactions [314][315][316][317][318][319][320][321][322][323][324], deviations from unitarity [325][326][327] or the presence of light-sterile neutrinos [328][329][330][331]. Indeed, besides providing very precise information about the neutrino oscillation mechanism, the DUNE experiment will also be very useful to test different models for neutrino masses and mixings [332][333][334][335][336][337][338] as well as to check for various effects of new physics such as the ones mentioned above, neutrino decay scenarios [339][340][341], quantum decoherence [342] or even CPT invariance [343][344][345] and Lorentz invariance [346,347].…”

Assessing the viability of A4 , S4 , and A5 flavor symmetries for description of neutri

“…First, the predictions considered in the present study can be tested simulating the future neutrino oscillation experiments, as it has been recently done, e.g., in ref. [62], where DUNE and T2HK simulations have been performed to test the predictions for cos δ of sum rules [34] corresponding to pattern D of discrete flavour symmetry breaking (see the Introduction). We plan to present such a study elsewhere.…”

Discrete flavour symmetries, neutrino mixing and leptonic CP violation

“…Combining the discrete symmetry approach with the idea of generalised CP invariance [14][15][16] -a generalisation of the standard CP invariance requirement -allows to obtain predictions also for the Majorana CPV phases in the PMNS matrix in the case of massive Majorana neutrinos (see, e.g., [17][18][19][20][21][22][23][24][25][26][27][28][29] and references quoted therein). Most importantly, these predictions and predicted correlations, and thus the discrete symmetry approach itself, can be tested experimentally (see, e.g., [9] and [10,18,[30][31][32][33][34]).…”

“…A more detailed study of the possibility to distinguish between BM (LC), TBM, GRB, GRA and HG forms of U • ν using the prospective data from DUNE and T2HK experiments was performed in [33]. Some of the results of this study are illustrated in Fig.…”