Abstract
In the next decade, a number of experiments will attempt to determine the neutrino mass hierarchy. Feasibility studies for such experiments generally determine the statistic \( \overline{{\varDelta {\chi^2}}} \). As the hierarchy is a discrete choice, Δχ2 does not obey a one degree of freedom χ2 distribution and so the number of σ’s of sensitivity to the hierarchy is not the square root of \( \overline{{\varDelta {\chi^2}}} \). We present a simple Bayesian formula for the sensitivity to the hierarchy determination that can be expected from the median experiment as a function of \( \overline{{\varDelta {\chi^2}}} \).
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ArXiv ePrint: 1305.5150
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Ciuffoli, E., Evslin, J. & Zhang, X. Confidence in a neutrino mass hierarchy determination. J. High Energ. Phys. 2014, 95 (2014). https://doi.org/10.1007/JHEP01(2014)095
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DOI: https://doi.org/10.1007/JHEP01(2014)095