On the heavy Majorana neutrino and light sneutrino contribution to $e^-e^-\to\ell^- \ell^-$, ($\ell = \mu,\tau$)

Abstract.

The cross section for the reaction $e^-e^-\;\to\; \ell^-\ell^-$ ($\ell = \mu,\tau$) is calculated in models with heavy Majorana neutrinos mediating lepton number violating amplitudes at the loop level. The contributing four-point functions are evaluated exactly (numerically) taking into account the full propagator dependence on external momenta, thereby extending to the energy range of interest for the next linear colliders an earlier approximate low energy calculation. The amplitude shows a non-decoupling behavior relative to the heavy Majorana neutrino masses, but due to the stringent bounds on heavy-light mixing the signal cross section attains observable values only for the less constrained $\tau$ signal. The cross section induced by lepton number violation in the SU(2) _L doublet sneutrino sector of supersymmetric extensions of the standard model is constrained by the upper limits on neutrino masses and probably too tiny to be observable.