W+W−production ine+e−colliders: Test of a strongly interacting Higgs sector

We study the production of $W^{+}{W}^{-}$ pairs in $e^{+}{e}^{-}$ collisions within the hypothesis of a strongly interacting Higgs sector. The ($Z^0+\gamma$)-exchange graphs and the $\nu$-exchange one projected on the $P$ wave and on $l>\mathrm{}1\mathrm{}$ waves are taken as Born approximation in a calculation of a final-state strong interaction for the longitudinally polarized $W$ bosons. We adopt a Gounaris-Sakurai ansatz in the $P$ wave with a vector $\rho$-like resonance at a mass between 1.5 and 2.0 TeV. We compare the number of expected events relative to the case in which the final-state strong interaction is ignored. We find a significant enhancement, mostly in the background hemisphere, that could be measured if the luminosity expectations are satisfied. We find an order-of-magnitude enhancement in the total number of $\mathrm{WW}$ pairs at the resonance. We also compute the effect of the strong interaction on the $\mathrm{LR}$ asymmetry.