2001/02/20 by Walter Grimus, W. Grimus, Thomas Schwetz +1 · 6 citations
Chemistry · Physics and Astronomy · #Amplitude #Mass matrix #Mass spectrometry #Mass spectrum #Molecular Spectroscopy and Structure #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Spectral line #hep-ph
paper · pdf · doi:10.1007/s100520100646
published as Eur.Phys.J.C20:1-11,2001 · Latex, 22 pages, 3 figures
arxiv created 2001/02/20 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the (3+1)-class of 4-neutrino mass spectra within a rigorous statistical analysis based on the Bayesian approach to probability. The data of the Bugey, CDHS and KARMEN experiments are combined by using a likelihood function. Our statistical approach allows us to incorporate solar and atmospheric neutrino data and also the result of the CHOOZ experiment via inequalities which involve elements of the neutrino mixing matrix and are derived from these data. For any short-baseline Δm2 we calculate a bound on the LSND transition amplitude Aμ;e and find that, in the Δm2--Aμ;e plane, there is no overlap between the 99% CL region allowed by the latest LSND analysis and the region allowed by our bound on Aμ;e at 95% CL; there are some small overlap regions if we take the bound at 99% CL. Therefore, we conclude that, with the existing data, the (3+1)-neutrino mass spectra are not very likely. However, treating the (2+2)-spectra with our method, we find that they are well compatible with all data.