Supersymmetry without R-Parity and without Lepton Number
Abstract
We investigate Supersymmetric models where neither R parity nor lepton number is imposed. Neutrino masses can be kept highly suppressed compared to the electroweak scale if the μ-terms in the superpotential are aligned with the SUSY-breaking bilinear B-terms. This situation arises naturally in the framework of horizontal symmetries. The same symmetries suppress the trilinear R parity violating terms in the superpotential to an acceptable level.
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