Hamiltonian model for the Higgs resonance

Abstract

Starting from a field-theoretic expression for the effective potential between two strongly interacting longitudinal components of the vector bosons in the standard electroweak theory, we compute the full amplitude in the two-particle sector based on a relativistic generalization of the Hamiltonian formalism. The Higgs-resonance trajectories are studied as a function of an energy scale and a dimensionless renormalization parameter in the effective potential. An intriguing possibility of a narrow-width Higgs resonance in the 1-TeV region cannot be ruled out from general considerations.