$W{\hat{I}}^3{\hat{I}}^3$ Production at the Fermilab Tevatron Collider: Gauge Invariance and Radiation Amplitude Zero

Abstract

The electroweak process $p\bar{p}\to {\ell }^{\pm }\hat{I}½{\hat{I}}^3{\hat{I}}^3$ is calculated at tree level, including finite W width effects. In order to obtain a gauge invariant amplitude, the imaginary parts of $WW{\hat{I}}^3$ triangle graphs and $WW{\hat{I}}^3{\hat{I}}^3$ box diagrams have to be included, in addition to resumming the imaginary contributions to the W polarization. We demonstrate the existence of a radiation amplitude zero in $p\bar{p}\to W^{\pm }{\hat{I}}^3{\hat{I}}^3\to {\ell }^{\pm }\hat{I}½{\hat{I}}^3{\hat{I}}^3$, and discuss how it may be observed in correlations of the ${\hat{I}}^3{\hat{I}}^3$ and lepton rapidities at the Fermilab Tevatron.

37 pages,12 figures, postscript file also available via anonymous ftp at ftp://ucdhep.ucdavis.edu/han/vvv/Wgmgm.ps