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A new mechanism of neutrino mass generation in the NMSSM with broken lepton number
In the Minimal Supersymmetric Standard Model with bilinear R-parity
violation, only one neutrino eigenstate acquires a mass at tree level,
consequently experimental data on neutrinos cannot be accommodated at tree
level. We show that in the Next-to-Minimal extension, where a gauge singlet
superfield is added to primarily address the so-called -problem, it is
possible to generate two massive neutrino states at tree level. Hence, the
global three-flavour neutrino data can be reproduced at tree level, without
appealing to loop dynamics which is vulnerable to model-dependent
uncertainties. We give analytical expressions for the neutrino mass eigenvalues
and present examples of realistic parameter choices.Comment: 9 pages, 2 figures; further clarifications added, to appear in PL
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