New scalar resonances from sneutrino-Higgs-boson mixing in supersymmetry with small lepton number (R-parity) violation - art. no. 095008

We consider news-channel scalar exchanges in top quark and massive gauge-bo son pair production in e(+)e(-) collisions, in supersymmetry with a small l epton number violation. We show that a soft bilinear lepton number violatin g term in the scalar potential which mixes the Higgs and the slepton fields can give rise to a significant scalar resonance enhancement in e(+)e(-)--> ZZ, W+W- and in e(+)e(-)-->t (t) over bar. The sneutrino-Higgs-boson mixed state couples to the incoming light leptons through its sneutrino component and to either the top quark or the massive gauge bosons through its Higgs component. Such a scalar resonance in these specific production channels ca nnot result from trilinear Yukawa-like R-parity violation alone, and may, t herefore, stand as strong evidence for the existence of R-parity violating bilinears in the supersymmetric scalar potential. We use the CERN LEP2 meas urements of the WW and ZZ cross sections to place useful constrains on this scenario, and investigate the expectations for the sensitivity of a future linear collider to these signals. We find that signals of these scalar res onances, in particular in top-pair production. are well within the reach of linear colliders in the small lepton number violation scenario.