Measurement of the $WW\gamma$ and $WWZ$ Couplings at LEP200: The Benefits of Higher Energy?

Abstract

We performed a detailed analysis of the process $e^{+}{e}^{-}\to \ell \nu q{\bar{q}}^{\prime }$ to determine its sensitivity to anomalous trilinear gauge boson couplings of the $WW\gamma$ and $WWZ$ vertices and how the sensitivity varies with energy and integrated luminosity. We included all tree level Feynman diagrams that contribute to this final state and used a maximum likelihood analysis of a five dimensional differential cross-section based on the $W$ and $W$ decay product angular distributions. For constant luminosity, increasing $\sqrt{s}$ from 175~GeV to 192~GeV (220~GeV) improves the measurement sensitivity by a factor of 1.5 to 2 (2 to 3) depending on the parameter measured. However, the lower luminosity expected at higher $\sqrt{s}$ will reduce these improvements. In any case, the sensitivities for $\sqrt{s}$=175~GeV and L=500~pb${}^{-1}$ of $\delta g_1^Z=\pm 0.22$, $\delta {\kappa }_Z=\pm 0.20$, $\delta {\kappa }_{\gamma }=\pm 0.27$, $\delta L_{9L}=\pm 55$, and $\delta L_{9R}{=}_{-230}^{+330}$ are likely to be at least an order of magnitude too big to see the effects of new physics.

Comments: Latex file uses revtex version 2 4 figures (uuencoded) will be added with figures command. Full postcript version with embedded figures is available at ftp://ftp.physics.carleton.ca/pub/theory/godfrey/ocipc9510.ps