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Sensitivity to the Neutrino Mass Hierarchy

High Energy Physics - Phenomenology 2016-04-27 v4 High Energy Physics - Experiment Statistics Theory Statistics Theory

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 expected value of Delta chi^2. As the hierarchy is a discrete choice, Delta chi^2 does not obey a one degree of freedom chi^2 distribution and so the number of sigmas of confidence of the hierarchy determination is not the square root of the expected Delta chi^2. We present a simple formula for the sensitivity to the hierarchy that can be expected from the median experiment as a function of the expected Delta chi^2.

Keywords

Cite

@article{arxiv.1305.5150,
  title  = {Sensitivity to the Neutrino Mass Hierarchy},
  author = {Emilio Ciuffoli and Jarah Evslin and Xinmin Zhang},
  journal= {arXiv preprint arXiv:1305.5150},
  year   = {2016}
}

Comments

8 pages, 5 eps figures, v4 include both one-sided and two-sided Gaussian conversion