Eur. Phys. J. C (2018) 78: 286
https://doi.org/10.1140/epjc/s10052-018-5772-6

Regular Article - Theoretical Physics

Addressing neutrino mixing models with DUNE and T2HK

¹ Institute of Physics, Sachivalaya Marg, Sainik School Post, Bhubaneswar, 751005, India
² Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India
³ International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy
⁴ SISSA/INFN, Via Bonomea 265, 34136, Trieste, Italy
⁵ Kavli IPMU (WPI), University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan
⁶ Institute for Particle Physics Phenomenology, Department of Physics, Durham University, South Road, Durham, DH1 3LE, UK

^* e-mail: arsenii.titov@durham.ac.uk

Received: 10 January 2018
Accepted: 27 March 2018
Published online: 7 April 2018

Abstract

We consider schemes of neutrino mixing arising within the discrete symmetry approach to the well-known flavour problem. We concentrate on mixing schemes in which the cosine of the Dirac CP violation phase satisfies a sum rule by which it is expressed in terms of three neutrino mixing angles , , and , and a fixed real angle , 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 for fixed , , and . 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.