A Phenomenological Study of the Process $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}{\nu }_l{\bar{\nu }}_l$ at High Energy $e^{+}{e}^{-}$ Colliders and Measurement of the $ZWW$ and $\gamma WW$ Couplings

Abstract

We perform a detailed study of the process $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}{\nu }_l{\bar{\nu }}_l$ including all contributions. The contributions other than from real gauge boson production leads to a rich phenomenology. We explore the use of the process as a means of precision measurement of the $ZWW$ and $\gamma WW$ vertices. We concentrate on LEP II energies, $\sqrt{s}=200$ GeV, and energies appropriate to the proposed Next Linear Collider (NLC) high energy $e^{+}{e}^{-}$ collider with center of mass energies $\sqrt{s}=500$ and 1~TeV. At 200 GeV, the process offers, at best, a consistency check of other processes being considered at LEP200. At 500~GeV, the parameters ${\kappa }_{\gamma }$, ${\lambda }_{\gamma }$, ${\kappa }_Z$, and ${\lambda }_Z$ can be measured to about $\pm 0.1$ or better at 95\% C.L. while at 1 TeV, they can be measured to about $\pm 0.01$. At the high luminosities anticipated at high energy linear colliders precision measurements are likely to be limited by systematic rather than statistical errors.

Comments: 33 pages, OCIP/C 93-18, UQAM-PHE-9306