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We consider new s-channel scalar exchanges in top quark and massivegauge-bosons pair production in e+e- collisions, in supersymmetry with a smalllepton number violation. We show that a soft bilinear lepton number violatingterm in the scalar potential which mixes the Higgs and the slepton fields cangive rise to a significant scalar resonance enhancement in e+e- -> ZZ, W+W- andin e+e- -> t t(bar). The sneutrino-Higgs mixed state couples to the incominglight leptons through its sneutrino component and to either the top quark orthe massive gauge bosons through its Higgs component. Such a scalar resonancein these specific production channels cannot result from trilinear Yukawa-likeR-parity violation alone, and may, therefore, stand as strong evidence for theexistence of R-parity violating bilinears in the supersymmetric scalarpotential. We use the LEP2 measurements of the WW and ZZ cross-sections toplace useful constrains on this scenario, and investigate the expectations forthe sensitivity of a future linear collider to these signals. We find thatsignals of these scalar resonances, in particular in top-pair production, arewell within the reach of linear colliders in the small lepton number violationscenario.Comment: 22 pages in revtex, 10 figures embadded in the text using epsfi

New scalar resonances from sneutrino-Higgs-boson mixing in supersymmetry with small lepton number (R-parity) violation