Suppressing the $\mu$ and neutrino masses by a superconformal force

Abstract

The idea of Nelson and Strassler to obtain a power law suppression of parameters by a superconformal force is applied to understand the smallness of the $\mu$ parameter and neutrino masses in R-parity violating supersymmetric standard models. We find that the low-energy sector should contain at least another pair of Higgs doublets, and that a suppression of $\lsim O(10^{-13})$ for the $\mu$ parameter and neutrino masses can be achieved generically. The superpotential of the low-energy sector happens to possess an anomaly-free discrete R-symmetry, either $R_3$ or $R_6$, which naturally suppresses certain lepton-flavor violating processes, the neutrinoless double beta decays and also the electron electric dipole moment. We expect that the escape energy of the superconformal sector is $\lsim$ O(10) TeV so that this sector will be observable at LHC. Our models can accommodate to a large mixing among neutrinos and give the same upper bound of the lightest Higgs mass as the minimal supersymmetric standard model.

24 pages

References in corpus (6)

• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Nonanomalous R-symmetry in supersymmetric unified theories of quarks and leptons
• Sfermion masses in Nelson-Strassler type of models: SUSY standard models coupled with SCFTs
• The origin of quark and lepton mixings
• $\mu$-term due to the non-universal supersymmetry breaking and the Higgs mass
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Cited by in corpus (9)

• Positive energy unitary irreducible representations of D=6 conformal supersymmetry
• Sfermion Mass Degeneracy, Superconformal Dynamics and Supersymmetric Grand Unified Theories
• Discrete R-symmetry anomalies in heterotic orbifold models
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• D-term inflation and neutrino mass
• $\mu$-term as the origin of baryon and lepton number asymmetry
• A Note on Proton Stability in the Standard Model
• Suppressed supersymmetry breaking terms in the Higgs sector