We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on 3 nu mixing schemes in which the cosine of the Dirac CP violation phase delta(CP) satisfies a sum rule by which it is expressed in terms of three neutrino mixing angles theta(12), theta(23), and theta(13), and a fixed real angle theta(nu)(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 delta(CP) for fixed theta(12), theta(23), and theta(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.
Addressing neutrino mixing models with DUNE and T2HK
Titov A
2018
Abstract
We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on 3 nu mixing schemes in which the cosine of the Dirac CP violation phase delta(CP) satisfies a sum rule by which it is expressed in terms of three neutrino mixing angles theta(12), theta(23), and theta(13), and a fixed real angle theta(nu)(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 delta(CP) for fixed theta(12), theta(23), and theta(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.Pubblicazioni consigliate
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