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Statistical Issues in Long-Baseline Neutrino Experiments

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Alexander Himmel
Updated by:
Maury Goodman
Document Created:
14 Jan 2019, 10:41
Contents Revised:
27 Jan 2019, 15:48
Metadata Revised:
08 Jul 2019, 16:06
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Long-baseline neutrino experiments are beginning to chip away at the last, most difficult questions in the neutrino oscillation model: What is the mass hierarchy (ordering)? Do neutrino oscillations violate CP symmetry? Is the θ23 mixing maximal, and if not, what octant does it reside in? These questions turn out to require non-trivial statistical treatments since they involve cyclical parameters (δ), binary choices with non-nested hypotheses (mass hierarchy, octant), and observables which depend non-linearly (and differently) on the parameter of interest (θ23). All of these issues are further exacerbated by the small sample sizes of observed neutrinos after oscillations and complicated systematic treatments with near detector constraints. In this talk, I will discuss these issues and how current generation long-baseline experiments address them, drawing out similarities and differences which arise from the particular experimental configurations.
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