How to study longitudinalW’s in the TeV region

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Abstract
Using some new techniques we examine ways to experimentally study interactions of longitudinal W bosons in the TeV region, and to detect a heavy Higgs boson (mass ≥1 TeV) if it exists. This is a problem that must be solved if we are eventually to fully understand and test how the SU(2)×U(1) symmetry of the standard model is broken. To do so at a hadron collider requires methods to discriminate against large backgrounds. We use a new method based on the color properties of the signal and background, leading to a multiplicity cut, and we use analysis techniques that do not reduce the signal events by strong cuts. Our techniques do not bias W decay distributions and we conclude that it is possible to detect longitudinal W ’s even in the presence of background. Results are given for how it is possible to study these matters at the Superconducting Super Collider. The use of the ‘‘equivalence theorem’’ between longitudinal W ’s and Goldstone scalars is examined in several ways; in particular, we emphasize that in practice the equivalence does not hold numerically when the widths of heavy resonances are included in the traditional way, i.e., using the Breit-Wigner prescription. The violations are numerically large.