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High Energy Physics - Phenomenology

arXiv:1305.5150 (hep-ph)
[Submitted on 22 May 2013 (v1), last revised 20 Apr 2016 (this version, v4)]

Title:Sensitivity to the Neutrino Mass Hierarchy

Authors:Emilio Ciuffoli, Jarah Evslin, Xinmin Zhang
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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.
Comments: 8 pages, 5 eps figures, v4 include both one-sided and two-sided Gaussian conversion
Subjects: High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Experiment (hep-ex); Statistics Theory (math.ST)
Cite as: arXiv:1305.5150 [hep-ph]
  (or arXiv:1305.5150v4 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1305.5150
Journal reference: JHEP 1401 (2014) 095
Related DOI: https://doi.org/10.1007/JHEP01%282014%29095

Submission history

From: Jarah Evslin [view email]
[v1] Wed, 22 May 2013 14:35:47 UTC (205 KB)
[v2] Mon, 15 Jul 2013 12:06:55 UTC (207 KB)
[v3] Thu, 14 Nov 2013 07:40:56 UTC (789 KB)
[v4] Wed, 20 Apr 2016 09:58:31 UTC (768 KB)
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