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Compatibility analysis of the LSND evidence and the KARMEN exclusion for ((\obarνμ→\obarνe)) oscillations

1999/09/22 by Klaus Eitel · 1 citation
Physics and Astronomy · #Compatibility (geochemistry) #Confidence interval #Frequentist inference #Monte Carlo method #Neutrino Physics Research #Oscillation (cell signaling) #Parameter space #Particle physics theoretical and experimental studies #Radioactive Decay and Measurement Techniques #hep-ex

paper · pdf · doi:10.1088/1367-2630/2/1/301

published as NewJ.Phys.2:1,2000 · 27 pages including 16 figures

arxiv created 1999/09/22 · openalex publication_date 2000/01/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A combined statistical analysis of the experimental results of the LSND and KARMEN µ e oscillation search is presented. LSND has evidence for neutrino oscillations that is not confirmed by the KARMEN experiment. However, there is a region in the (sin 2 (2 ), ) parameter space where the results of both experiments are statistically compatible. This joint analysis is based on likelihood functions for both data sets. A frequentist approach to creating Monte Carlo samples analogous to the experimental outcome is applied to deduce correct confidence limits. Different schemes of combination can be chosen to provide correct coverage which leads to slightly different confidence regions in (sin 2 (2 ), ).

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