Left-right symmetric gauge model with new h− ξR interactions

Abstract

The Yang-Mills-Higgs Lagrangian of the left-right symmetric gauge model with the symmetry of SU(3) c × SU(2) L× SU(2) R× U(1) is presented by considering the new interaction terms between SU(2) L bidoublet Higgs boson h and SU(2) R adjoint Higgs boson ξ R. We also present a parametrization of the Higgs potential and interacting terms in such a way that not only does the cosmological constant vanishes at the tree level but also the light Higgs field emerges without fine tuning of parameters. ξ R is responsible for the spontaneous breakdown of SU(2) R× U(1) down to U(1) Y and the seesaw mechanism of neutrino mass is well explained owing to this symmetry breakdown. The Higgs boson h yields the spontaneous breakdown of SU(2) L× U(1) Y down to U(1) em. Due to this new interaction term together with other interaction and potential terms of the Higgs bosons, only one CP-even scalar boson among the bidoublet boson h survives in the weak energy scale and other four scalar bosons acquire the mass of the SU(2) R× U(1) breaking scale, which leads to the same situation as in the standard model.