Effective lagrangian description of the possible strong sector of the standard model

Abstract

We discuss the effective lagrangian of the scalar and longitudinal sector of the standard SU(2) × U(1) model and derive the corresponding Feyman rules. Such a sector becomes strong when the Higgs mass parameter m H is large. Scalar propagation, in this case, is conveniently described by a degenerate 2 × 2 matrix. We apply the Feyman rules to calculate scattering amplitudes among longitudinally polarized W and Z, which now satisfy partial wave-unitarity also at large m H. We also calculate production amplitudes among such states and find that they are no longer depressed, when m H is large.