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Confidence in a neutrino mass hierarchy determination

  • Emilio Ciuffoli
  • Jarah EvslinEmail author
  • Xinmin Zhang
Open Access
Article

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 \( \overline{{\varDelta {\chi^2}}} \).

Keywords

Neutrino Physics Statistical Methods 

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Copyright information

© SISSA 2014

Authors and Affiliations

  1. 1.Theoretical Physics Division, IHEP, CASBeijingChina

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