Testing atmospheric mixing sum rules at precision neutrino facilities

TL;DR

This paper evaluates the ability of upcoming neutrino experiments to test specific atmospheric mixing sum rules that relate key neutrino oscillation parameters, based on models with discrete symmetries.

Contribution

It provides a detailed simulation framework to assess how well future precision neutrino facilities can verify sum rules derived from semi-direct models with discrete symmetries.

Findings

Next-generation experiments can effectively test certain atmospheric mixing sum rules.

Discriminating power varies depending on experimental configurations and model parameters.

The study guides experimental design for probing fundamental neutrino mixing theories.

Abstract

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.