Abstract
Using the most recent atmospheric neutrino data, as well as short-baseline, long-baseline and tritium $\beta$-decay data we show that the joint interpretation of the LSND, solar and atmospheric neutrino anomalies in (3+1) sterile neutrino schemes is severely disfavored, in contrast to the theoretically favored (2+2) schemes.
Highlights
Reconciling the existing data on solar [1] and atmospheric [2,3] neutrinos with a possible hint at the LSND experiment [4,5] (indicating the existence of ν(−) μ →ν(−) e transitions) is a challenge to the simplest standard model picture
In order to accomplish this we extend the analysis of neutrino oscillation data in the framework of (3+1) neutrino mass spectra performed in Ref. [18]
In addition to the full data from the short-baseline (SBL) experiments Bugey [19], CDHS [20], KARMEN [21] and the result of the long-baseline reactor experiment CHOOZ [22], we include the full and updated data set of atmospheric neutrino experiments and the data from the νμ → νe oscillation search in NOMAD [23]
Summary
Reconciling the existing data on solar [1] and atmospheric [2,3] neutrinos with a possible hint at the LSND experiment [4,5] (indicating the existence of ν(−) μ. In addition to the full data from the short-baseline (SBL) experiments Bugey [19], CDHS [20], KARMEN [21] and the result of the long-baseline reactor experiment CHOOZ [22], we include the full and updated data set of atmospheric neutrino experiments and the data from the νμ → νe oscillation search in NOMAD [23] With this information we derive a bound on the LSND amplitude Aμ;e within a Bayesian statistical framework. We perform a different statistical analysis of the data in order to include information from the tritium β-decay experiments [25,26] This sets additional strong bounds on 4–neutrino spectra of the type (3+1)B (see Fig. 1).
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