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Four-neutrino mixing and Big-Bang Nucleosynthesis
Authors:S M Bilenky  C Giunti  W Grimus  T Schwetz
Institution:

a Joint Institute for Nuclear Research, Dubna, Russian Federation

b Institut für Theoretische Physik, Technische Universität München, D-85748, Garching, Germany

c INFN, Sezione di Torino, and Dipartimento di Fisica Teorica, Università di Torino, Via P. Giuria 1, I-10125, Torino, Italy

d Institute for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria

Abstract:We investigate the Big-Bang Nucleosynthesis constraints on the elements of the neutrino mixing matrix which connect sterile with massive neutrino fields, in the framework of the two four-neutrino schemes that are favored by the results of neutrino oscillation experiments. We discuss the implications of these constraints for terrestrial short and long-baseline neutrino oscillation experiments and we present several possibilities of testing them in these experiments. In particular, we show that from the Big-Bang Nucleosynthesis constraints it follows that the Image transition is severely suppressed in short-baseline experiments, whereas its oscillation amplitude in long-baseline experiments is of order 1. We also propose a new parameterization of the four-neutrino mixing matrix U which is appropriate for the schemes under consideration.
Keywords:PACS classification codes: 14  60  Pq  14  60  St  26  35  +c
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