Neutrino masses and mixing in supersymmetric models without R parity

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

doi:10.1016/0370-2693(96)00823-4

Neutrino masses and mixing in supersymmetric models without R parity

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

Weizmann Institute of Science

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106 Scopus citations

Abstract

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 θ_ij ≳ m(l_i^-)/m(l_j^-) (i < j) and unusual order of magnitude predictions for neutrino mass ratios: Hi(ν_e)/m(ν_μ) ∼ sin² θ₁₂; m(ν_i)/m(ν_τ) ∼ 10^-7 sin² θ_i3 (i = 1, 2). Bounds from laboratory experiments exclude m_ντ ≳ 3 MeV and cosmological constraints exclude m_ντ ≳ 100 eV. Neither the solar nor the atmospheric neutrino problems are likely to be solved by ν_μ - ν_e oscillations. These conclusions can be evaded if holomorphy plays an important role in the lepton Yukawa couplings.

Original language	English
Pages (from-to)	123-130
Number of pages	8
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	384
Issue number	1-4
DOIs	https://doi.org/10.1016/0370-2693(96)00823-4
State	Published - 19 Sep 1996
Externally published	Yes

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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title = "Neutrino masses and mixing in supersymmetric models without R parity",

abstract = "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.",

author = "Borzumati, {Francesca M.} and Yuval Grossman and Enrico Nardi and Yosef Nir",

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).",

year = "1996",

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doi = "10.1016/0370-2693(96)00823-4",

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AU - Borzumati, Francesca M.

AU - Grossman, Yuval

AU - Nardi, Enrico

AU - Nir, Yosef

N1 - 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).

PY - 1996/9/19

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N2 - 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.

AB - 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.

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Neutrino masses and mixing in supersymmetric models without R parity

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