Double-boson-exchange processes in high-energyνμe−collisions in the standard Weinberg-Salam model

Abstract

In this paper, we shall study double-boson-exchange processes in the reactions ${\ensuremath{\nu}}_{\ensuremath{\mu}}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{\ensuremath{-}}{e}^{+}{e}^{\ensuremath{-}}{\ensuremath{\nu}}_{e}$, ${\ensuremath{\nu}}_{\ensuremath{\mu}}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{e}^{\ensuremath{-}}{\ensuremath{\nu}}_{\ensuremath{\mu}}$, and ${\ensuremath{\nu}}_{\ensuremath{\mu}}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\nu}}_{e}$, using the standard Weinberg-Salam SU(2)\ifmmode\times\else\texttimes\fi{}U(1) model of electroweak interactions. At neutrino laboratory energy \ensuremath{\sim} 100 GeV, the cross section for the first reaction is \ensuremath{\sim}3\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}44}$ ${\mathrm{cm}}^{2}$. This reaction may be observable with experimental facilities in the near future. It could serve as a useful tool for distinguishing the Weinberg-Salam model from other models of electroweak interactions.