Is there a P-wave bound state of W(sub L)W(sub L). On the dynamical generation of a rho meson in the sigma model

摘要

We investigate the possibility that the Higgs lagrangian predicts the existence of a P-wave W(sub L)W(sub L) resonance. This problem is equivalent to studying the formation of the (rho) meson by the dynamics contained in the (sigma) model. Using the Pade approximation, Basdevant and Lee had claimed that (rho) is generated dynamically. We show that their result, while computationally correct, is not significant, because of the position of the Landau ghost. For the same reason, a W(sub L)W(sub L) P-wave resonance below 2 TeV is not expected, unless the standard model is violated. 10 refs., 8 figs.