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Four different supersymmetric models based on SU(2)_L X U(1)_R X U(1)_B-L andSU(2)_L X SU(2)_R X U(1)_B-L gauge symmetry groups are studied. U(1)_B-Lsymmetry is broken spontaneously by a vacuum expectation value (VEV) of asneutrino field. The right-handed gauge bosons may obtain their mass solely bysneutrino VEV. The physical charged lepton and neutrino are mixtures ofgauginos, higgsinos and lepton interaction eigenstates. Explicit formulae formasses and mixings in the physical lepton fields are found. The spontaneoussymmetry breaking mechanism fixes the trilinear R-parity breaking couplings.Only some special R-parity breaking trilinear couplings are allowed. There is apotentially large trilinear lepton number breaking coupling - which is uniqueto left-right models - that is proportional to the SU(2)_R gauge coupling g_R.The couplings are parametrized by few mixing angles, making the spontaneousR-parity breaking a natural ``unification framework'' for R-parity breakingcouplings in SUSYLR models.Comment: 19 pages, no figures, uses REVTeX. To be published in PR

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Higgs sector and<b><i>R</i></b>-parity breaking couplings in models with broken<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>−</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>gauge symmetry

Higgs sector andR-parity breaking couplings in models with brokenU(1)B−Lgauge symmetry