Supersymmetry without R-Parity and without Lepton Number

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, harvmac

Scientific paper

10.1103/PhysRevD.52.5319

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 $\mu$-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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