Electroweak-Higgs Unification and the Higgs Boson Mass

摘要

We propose an alternative unification scenario where the Higgs self-coupling(lambda) is unified with the electroweak SU(2)L x U(1)Y interactions at anintermediate scale MGH, lower than the GUT scale. In this model the SM remainsvalid up to this scale MGH, where the gauge and Higgs couplings satisfy theunification condition g1 = g2 = f(lambda). Two variants for this unificationcondition are discussed; scenario I is defined through the linear relation: g1= g2 = k lambda(MGH), while scenario II assumes a quadratic relation: g1**2 =g2**2 = k lambda(MGH). An attractive feature of this class of models is thepossibility to determine the SM Higgs boson mass by evolving lambda back fromMGH down to the electroweak scale; fixing k = O(1) we obtain a Higgs mass valuemH approx. 200 GeV. Above MGH, the single coupling gH that describes theelectroweak-Higgs interactions, keeps evolving until it unifies with the strongcoupling constant. We discuss a realization o this unification scenario withinthe context of a six-dimensional SU(3)c x SU(3)w Gauge-Higgs unified model.