Neutrino masses and mixing in supersymmetric models without R parity

Francesca M. Borzumati, Yuval Grossman, Enrico Nardi, Yosef Nir

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106 Scopus citations


We study neutrino masses and mixing in supersymmetric models without R parity and with generic soft Supersymmetry breaking terms. Neutrinos acquire mass from various sources: tree level neutrino-neutralino mixing, loop effects and non-renormalizable operators. Abelian horizontal symmetries (invoked to explain the smallness and hierarchy in quark parameters) replace R parity in suppressing neutrino masses. We find lower bounds on the mixing angles: sin θij ≳ m(li-)/m(lj-) (i < j) and unusual order of magnitude predictions for neutrino mass ratios: Hi(νe)/m(νμ) ∼ sin2 θ12; m(νi)/m(ντ) ∼ 10-7 sin2 θi3 (i = 1, 2). Bounds from laboratory experiments exclude mντ ≳ 3 MeV and cosmological constraints exclude mντ ≳ 100 eV. Neither the solar nor the atmospheric neutrino problems are likely to be solved by νμ - νe oscillations. These conclusions can be evaded if holomorphy plays an important role in the lepton Yukawa couplings.

Original languageEnglish
Pages (from-to)123-130
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-4
StatePublished - 19 Sep 1996
Externally publishedYes

Bibliographical note

Funding Information:
F.M.B. acknowledgesd iscussions with R. Hempf-ling. Y.N. is supportedi n part by the United States-Israel Binational Science Foundation (BSF) , by the Israel Commission for Basic Research, and by the Minerva Foundation (Munich).


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