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Testing atmospheric mixing sum rules at precision neutrino facilities
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We study the prospects for testing classes of atmospheric mixing sum rules at precision neutrino facilities. Such sum rules, which correlate the atmospheric mixing angle theta23 with the recently measured reactor angle theta13 and the cosine of the oscillation phase delta, are predicted by a variety of semi-direct models based on discrete family symmetry, classified in terms of finite von Dyck groups. We perform a detailed simulation of the performance of the next generation of oscillation experiments, including the wide band superbeam and low-energy neutrino factory proposals, and compare their discriminating power for testing atmospheric mixing sum rules.
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Cited by 2 Pith papers
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Trimaximal TM$_1$ mixing with two modular $S_4$ groups
A two-modular-S4 flavour model predicts TM1 lepton mixing and a new mass sum rule that keeps the lightest neutrino mass above roughly 0.025 eV.
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The Future of Lepton Flavor
Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.
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