The hidden sterile neutrino and the (2+2) sum rule

Details The hidden sterile neutrino and the (2+2) sum rule The hidden sterile neutrino and the (2+2) sum rule

2002-09-30

arxiv.org/abs/hep-ph/0209373v3

Phys.Rev. D67 (2003) 073019

Physics

High Energy Physics

High Energy Physics - Phenomenology

43 pages, 11 figures (same as v2, accidental replacement)

Scientific paper

10.1103/PhysRevD.67.073019

We discuss oscillations of atmospheric and solar neutrinos into sterile neutrinos in the 2+2 scheme. A zeroth order sum rule requires equal probabilities for oscillation into nu_s and nu_tau in the solar+atmospheric data sample. Data does not favor this claim. Here we use scatter plots to assess corrections of the zeroth order sum rule when (i) the 4 x 4 neutrino mixing matrix assumes its full range of allowed values, and (ii) matter effects are included. We also introduce a related "product rule". We find that the sum rule is significantly relaxed, due to both the inclusion of the small mixing angles (which provide a short-baseline contribution) and to matter effects. The product rule is also dramatically altered. The observed relaxation of the sum rule weakens the case against the 2+2 model and the sterile neutrino. To invalidate the 2+2 model, a global fit to data with the small mixing angles included seems to be required.

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