Production of multiple charged Higgs bosons in 3-3-1 models

Abstract

We undertake the study of the charged Higgs bosons predicted by the model with gauge symmetry $SU(3{)}_{c}\ensuremath{\bigotimes}SU(3{)}_{L}\ensuremath{\bigotimes}U(1{)}_{X}$. By considering Yukawa mixing couplings between small ($\ensuremath{\sim}\text{ }\text{ }\mathrm{GeV}$) and large ($\ensuremath{\sim}\text{ }\text{ }\mathrm{TeV}$) scales, we show that the hypercharge-1 (${H}_{1}^{\ifmmode\pm\else\textpm\fi{}}$) and hypercharge-2 (${H}_{2}^{\ifmmode\pm\else\textpm\fi{}}$) Higgs bosons predicted by the model can be simultaneously produced in $pp$ collisions at different production rates. At low energy, the ${H}_{1}^{\ifmmode\pm\else\textpm\fi{}}$ bosons exhibit the same properties as the charged Higgs bosons from a two Higgs doublet model, while ${H}_{2}^{\ifmmode\pm\else\textpm\fi{}}$ are additional like-charged Higgs bosons from the underlying 3-3-1 model. Thus, the identification of multiple like-charged Higgs boson resonances may test the compatibility of theoretical models with experimental data. We study ${H}_{1,2}^{\ifmmode\pm\else\textpm\fi{}}$ pairs and associated $tb{H}_{1,2}^{\ifmmode\pm\else\textpm\fi{}}$ productions at the CERN LHC. In particular, we obtain that pair production can be as large as the single production in gluon-gluon collisions due to the interchange of a heavy neutral ${Z}^{\ensuremath{'}}$ gauge boson predicted by the model. By considering decays to leptons ${H}_{1,2}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$, we obtain scenarios where small peaks of ${H}_{2}^{\ifmmode\pm\else\textpm\fi{}}$-boson events in transverse mass distributions can be identified over the ${H}_{1}^{\ifmmode\pm\else\textpm\fi{}}$ background.