Self coupling of the Higgs boson to the Higgs field and predictions for the Higgs mass and production cross section at the Fermilab Tevatron Collider

Abstract

The mass-generation mechanism is one of the most important problems in modern particle physics. The discovery and study of the Higgs boson would greatly contribute to the understanding and solving of this problem. One of the unknowns in the Higgs potential is the Higgs quadric self-coupling parameter {\lambda}. A {\lambda} parameter value equal to 1 leads to the prediction that the Standard Model Higgs mass is twice the top quark mass or about 347 GeV. It is, then, argued that this could have a dramatic increase of the SM Higgs production cross section at the Tevatron and the LHC, thus making possible its discovery even at the Tevatron with about 5 fb(-1) of integrated luminosity.