Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-12-09
JHEP 0002:031,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, LaTeX, 2 figures. Discussion enlarged, references added and typos corrected
Scientific paper
10.1088/1126-6708/2000/02/031
In sterile neutrino scenarios, radiative corrections induce mass splittings proportional to the top Yukawa coupling, in contrast to the three active neutrino case where the induced splittings are proportional to the tau Yukawa coupling. In view of this, we have analyzed the stability of the four-neutrino schemes favored by oscillation experiments, consisting in two pairs of nearly degenerate neutrinos separated by the LSND gap. Requiring compatibility with the measurements of the abundances of primordial elements produced in Big Bang Nucleosynthesis, we find that when the heaviest pair corresponds to the solar neutrinos (mainly an admixture of nu_e - nu_s) the natural mass splitting is 3-5 orders of magnitude larger than the observed one, discrediting the scenario from a theoretical point of view. On the contrary, the scheme where the heaviest pair corresponds to the atmospheric neutrinos (mainly an admixture of nu_mu - nu_tau) is safe from radiative corrections due to the small sterile component of these mass eigenstates.
Ibarra Aitor
Navarro Ignacio
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