Neutrino masses in supersymmetricSU(3)C×SU(2)L×U(1)Y×U(1)′models
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Abstract
We consider various possibilities for generating neutrino masses in supersymmetric models with an additional $\mathrm{U}(1{)}^{\ensuremath{'}}$ gauge symmetry. One class of models involves two extra $\mathrm{U}(1{)}^{\ensuremath{'}}\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1{)}^{\ensuremath{'}\ensuremath{'}}$ gauge symmetries, with $\mathrm{U}(1{)}^{\ensuremath{'}\ensuremath{'}}$ breaking at an intermediate scale and yielding small Dirac masses through high-dimensional operators. The right-handed neutrinos ${N}_{i}^{c}$ can naturally decouple from the low energy $\mathrm{U}(1{)}^{\ensuremath{'}}$, avoiding cosmological constraints. A variant version can generate large Majorana masses for ${N}_{i}^{c}$ and an ordinary seesaw. We secondly consider models with a pair of heavy triplets which couple to left-handed neutrinos. After integrating out the heavy triplets, a small neutrino Majorana mass matrix can be generated by the induced nonrenormalizable terms. We also study models involving the double-seesaw mechanism, in which heavy Majorana masses for ${N}_{i}^{c}$ are associated with the TeV-scale of $\mathrm{U}(1{)}^{\ensuremath{'}}$ breaking. We give the conditions to avoid runaway directions in such models and discuss simple patterns for neutrino masses.
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