Energy Spectrum of Leptons from $e^{+}{e}^{-}\to W^{+}{W}^{-}$ in the Presence of Strong W^+_LW^-_L Interaction

Abstract

The energy spectrum of leptons, produced by the decay of one or both W's in the reaction $e^{+}{e}^{-}\to W^{+}{W}^{-}$, is a significant probe of the helicity structure of this process. We calculate the energy spectrum $d\sigma /dE$ of a single decay lepton, as well as the two-dimensional energy distribution $d\sigma /d{E}_{+}d{E}_{-}$. We then consider a possible strong final state interaction in the longitudinally polarized state of the W^+W^- system, parametrized by a \rho -like resonance in the region of 1.8 TeV. We show that such a resonance produces measurable effects in the lepton spectrum at $\sqrt{s}=500$ GeV. The results are compared with those obtained from a non-resonant interaction approximated by a phase factor $e^{i\delta }$ in the l=1 part of the W^+_LW^-_L amplitude.

Comments: LaTeX, 12 pages including 3 eps figures, uses amssym and epsf