WW${\hat{I}}^3$ and WWZ Production in $e^{-}{e}^{-}$ Collisions in the Left-Right Model

Abstract

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, $e^{-}{e}^{-}\to W_2^{-}{W}_2^{-}{\hat{I}}^3$ and $e^{-}{e}^{-}\to W_2^{-}{W}_2^{-}{Z}_1^0$, 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 $\hat{I}{´}^{--}$, yielding a 1 % background for the pair production of $W_2^{-}$. At the $\hat{I}{´}^{--}$ resonance the cross section can be as large as 1 pb.

27 pages, latex, 9 figures available on request