Testing solar lepton mixing sum rules in neutrino oscillation experiments

Abstract

Small discrete family symmetries such as S4, A4 or A5 may lead to simple leading-order predictions for the neutrino mixing matrix such as the bimaximal, tribimaximal or golden ratio mixing patterns, which may be brought into agreement with experimental data with the help of corrections from the charged-lepton sector. Such scenarios generally lead to relations among the parameters of the physical leptonic mixing matrix known as solar lepton mixing sum rules. In this article, we present a simple derivation of such solar sum rules, valid for arbitrary neutrino and charged lepton mixing angles and phases, assuming only θ13^ν = θ13^e = 0. We discuss four leading-order neutrino mixing matrices with θ13^ν = 0 which are well motivated from family symmetry considerations. We then perform a phenomenological analysis of the scope to test the resulting four solar sum rules, highlighting the complementarity between next-generation neutrino oscillation experiments such as the reactor experiment JUNO and a superbeam experiment.

26 pages, 7 figures

References in corpus (7)

• Observation of electron-antineutrino disappearance at Daya Bay
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Possible Alternatives to Tri-bimaximal Mixing
• On the origin of neutrino flavour symmetry
• Golden Ratio Prediction for Solar Neutrino Mixing
• Classification of lepton mixing matrices from finite residual symmetries

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• A hybrid setup for fundamental unknowns in neutrino oscillations using T2HK ($\nu$) and $\mu$-DAR ($\bar{\nu }$)
• Linking Leptonic CP violation to Quark Unitarity Triangle