Abstract
The minimal supersymmetric Standard Model with explicit R-parity non-conservation contains bilinear terms involving the left-handed lepton superfields and the Higgs chiral multiplet with hypercharge Y = +1, which cannot in general be rotated away in the presenceof soft-supersymmetry-breaking interactions. These bilinear lepton-number-violating terms are found to give rise to non-zero vacuum expectation values of the scalar neutrinos. This leads to non-universal and flavour-violating tree-level couplings of the W and Z bosons to charged leptons and neutrinos. The parameter space of this novel scenario is systematically analyzed and further restricted by a number of laboratory, astrophysical, and cosmological constraints. The possibility that our minimal model can account for the KARMEN anomaly is examined.
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