Quantum Chromodynamics Predictions for the Associated Production of Charm by Neutrinos

Cross sections for the inclusive production of charm-anticharm pairs in the hadron showers of neutrino scattering are calculated within framework of quantum chromodynamics. A branching ratio of less than ${10}^{-3\mathrm{}}$, insufficient to account for the like-sign dimuons observed by Barish et al., Benvenuti et al., and Holder et al. and trimuons observed by Barish et al. and Benvenuti et al., is obtained for ${\alpha }_s=0.4\mathrm{}$ at values of $x$ between 0.05 and 0.3, and $\nu \sim 50-75$ GeV.