WW$\gamma$ and WWZ Production in $e^-e^-$ Collisions in the Left-Right Model

We have investigated the three vector boson production in electron-electron collisions in the framework of the left-right symmetric electroweak model. The process occurs due to lepton number violating interactions mediated by Majorana neutrinos and triplet Higgs scalars. We find that only the reactions with a heavy gauge boson pair in the final state, $e^-e^-\to W^{-}_2 W^{-}_2\gamma$ and $e^-e^- \to W^{-}_2 W^{-}_2Z^0_1$, are phenomenologically interesting from the point of view of the Next Linear Collider. If the mass of $W_2^-$ is 0.5 TeV and the mass of the heavy Majorana neutrino of the order of 1 TeV, the cross section of both reactions is in the range 1 to 10 fb at $\sqrt{s}= 2$ TeV, depending on the mass of the doubly charged triplet Higgs $\delta^{--}$, yielding a 1 % background for the pair production of $W_2^-$. At the $\delta^{--}$ resonance the cross section can be as large as 1 pb.