Small neutrino masses due to R-symmetry breaking for a small cosmological constant

Abstract

We describe a class of supersymmetric models in which neutrinos are kept light by an R-symmetry. In supergravity, R-symmetry must be broken to allow for a small cosmological constant after supersymmetry breaking. In the class of models described here, this R-symmetry breaking results in the generation of Dirac neutrino masses, connecting the tuning of the cosmological constant to the puzzle of neutrino masses. Surprisingly, under the assumption of low-scale supersymmetry breaking and superpartner masses close to a TeV, these masses are independent of the fundamental supersymmetry-breaking scale, and accommodate the correct magnitude. This offers a novel explanation for the vastly different scales of neutrino and charged fermion masses. These models require that R-symmetric supersymmetry exists at the TeV scale, and predict that neutrino masses are purely Dirac, implying the absence of neutrino-less double beta-decay. Interesting collider signals can arise due to charged scalars which decay leptonically, with branching ratios determined by the neutrino mixing matrix.

6 pages, 2 figures. v2 matches published version

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• A sharp 141 GeV Higgs prediction from environmental selection
• R-symmetric High Scale Supersymmetry
• Electroweak Baryogenesis in R-symmetric Supersymmetry
• Mixed Gauginos Sending Mixed Messages to the LHC
• Sneutrino Higgs models explain lepton non-universality in CMS excesses
• Charting generalized supersoft supersymmetry
• Light top squarks in $U(1{)}_R$-lepton number model with a right handed neutrino and the LHC
• Color-octet scalars in Dirac gaugino models with broken $R$ symmetry
• Probing a slepton Higgs on all frontiers