Impact of radiative corrections on sterile neutrino scenarios
Abstract
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 two experimentally favored four neutrino schemes, consisting in two pairs of nearly degenerate neutrinos separated by the LSND gap. 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 several orders of magnitude larger than the observed one, discrediting completely the scenario. 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.Keywords
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