Suppressing the $μ$ and neutrino masses by a superconformal force

Details Suppressing the $μ$ and neutrino masses by a superconformal force Suppressing the $μ$ and neutrino masses by a superconformal force

2001-07-12

arxiv.org/abs/hep-ph/0107133v1

Phys.Rev. D64 (2001) 115014

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages

Scientific paper

10.1103/PhysRevD.64.115014

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.

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