Charged Higgs boson in the economical 3-3-1 model

Abstract

The SU(3) C ⊗ SU(3) L ⊗ U(1) X gauge model with two Higgs triplets (the economical 3-3-1 model) is presented. The minimal Higgs potential is considered in detail, and new Higgs bosons with the mass proportional to the bilepton mass are predicted. In the effective approximation, the charged Higgs bosons H 2± are scalar bileptons, while the neutral scalar bosons H 0 and H 10 do not carry a lepton number. The couplings of the charged Higgs bosons to leptons and quarks are given. We show that Yukawa couplings of H 2± to ordinary leptons and quarks are lepton-number violating. The pair production of H 2± at high-energy e + e - colliders with the polarization of the e +, e - beams is studied in detail. A numerical evaluation shows that, if the Higgs mass is not too heavy, then the reaction can give an observable cross section in future colliders at a high degree of polarization. The reaction e + e - → H 2± W is also examined. We show that the production cross sections of H 2± W are very small, much below the pair production of H 2± , and, therefore, the associated production of H 2± and W is, in general, not expected to lead to easily observable signals in the e + e - annihilation. © 2007 Pleiades Publishing, Inc.