Combining Neutrino Oscillation Experiments with the Feldman-Cousins Method

Abstract

In this article we describe how two or more experimental results can be combined within the procedure of Feldman and Cousins, to provide combined confidence limits on the physical parameters of interest. We demonstrate the technique by combining the recent electron neutrino appearance results from T2K and MINOS. Our best fit point is sin^{2}2θ_{13} = 0.08 (0.11) and δ= 1.1 (2.0) π; in addition we exclude sin^{2}2θ_{13}=0 at 2.7 σ(2.8 σ) for the normal (inverted) neutrino mass hierarchy.

References in corpus (9)

• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Measurement of the neutrino mass splitting and flavor mixing by MINOS
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• Comment on Phys. Rev. Lett. 108, 191802 (2012): "Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment"
• A Measurement of Atmospheric Neutrino Flux Consistent with Tau Neutrino Appearance
• Comment on "Observation of electron-antineutrino disappearance at Daya Bay"

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