Toward solution of the model Bethe - Salpeter equation for Higgs bosons scattering amplitude

Abstract

In the present work analytical preparations are being made based on the study of the asymptotic behaviour for the scattering amplitude of Higgs bosons in the ladder approximation for the purpose of further investigation of the Higgs boson decay into a pair of Z 0-boson in the large-momentum. To formulate the computational model in the ladder approximation, the Bethe-Salpeter equation with a minimal perturbative kernel is used. An asymptotic solution of the above equation is obtained at high energies.