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Quantifying the sensitivity of oscillation experiments to the neutrino mass ordering

  • Mattias Blennow
  • Pilar ColomaEmail author
  • Patrick Huber
  • Thomas Schwetz
Open Access
Article

Abstract

Determining the type of the neutrino mass ordering (normal versus inverted) is one of the most important open questions in neutrino physics. In this paper we clarify the statistical interpretation of sensitivity calculations for this measurement. We employ standard frequentist methods of hypothesis testing in order to precisely define terms like the median sensitivity of an experiment. We consider a test statistic T which in a certain limit will be normal distributed. We show that the median sensitivity in this limit is very close to standard sensitivities based on Δχ 2 values from a data set without statistical fluctuations, such as widely used in the literature. Furthermore, we perform an explicit Monte Carlo simulation of the INO, JUNO, LBNE, NOνA, and PINGU experiments in order to verify the validity of the Gaussian limit, and provide a comparison of the expected sensitivities for those experiments.

Keywords

Neutrino Physics Statistical Methods 

Notes

Open Access

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Mattias Blennow
    • 1
  • Pilar Coloma
    • 2
    Email author
  • Patrick Huber
    • 2
  • Thomas Schwetz
    • 3
    • 4
  1. 1.Department of Theoretical Physics, School of Engineering Sciences, KTH Royal Institute of TechnologyAlbaNova University CenterStockholmSweden
  2. 2.Center for Neutrino Physics, Virginia TechBlacksburgU.S.A.
  3. 3.Max-Planck-Institut für KernphysikHeidelbergGermany
  4. 4.Oskar Klein Centre for Cosmoparticle Physics, Department of PhysicsStockholm UniversityStockholmSweden

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