Kinematical Distributions of Neutrino-Produced Lepton Triplets

Differential distributions in lepton triplets ${\nu }_{\mu }{\mu }^{-}{\mu }^{+}$, ${\nu }_e{\mu }^{-}{e}^{+}$, ${\nu }_e{e}^{-}{e}^{+}$ produced from neutrinos through the point four-fermion interaction and single-photon exchange with a nuclear target have been calculated using a Monte Carlo method. These are fundamental processes which can be calculated to arbitrary accuracy, and which test aspects of the leptonic weak interactions, in particular diagonal processes, which are not accessible to other tests. The calculations cover energies from 1.5 to 40 GeV, and targets of mass 1, 12, 56, and 208. Salient features of the results are that typically the negative lepton is energetic, the positive one much less energetic, and transverse momenta of the charged leptons are quite large (100-200 $\frac{\mathrm{GeV}}{c}$ at 15 GeV).