Constraining 3-3-1 models at the LHC and future hadron colliders
Alexandre Alves, L. Duarte, Sergey Kovalenko, Y. M. Oviedo-Torres, Farinaldo S. Queiroz, Yoxara S. Villamizar
Abstract
In this work, we derive lower mass bounds on the ${Z}^{\ensuremath{'}}$ gauge boson based on the dilepton data from the Large Hadron Collider (LHC) with 13 TeV of center-of-mass energy, and forecast the sensitivity of the high-luminosity LHC with $L=3000\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$, the high-energy LHC with $\sqrt{s}=27\text{ }\text{ }\mathrm{TeV}$, and also at the Future Circular Collider with $\sqrt{s}=100\text{ }\text{ }\mathrm{TeV}$. We take into account the presence of exotic and invisible decays of the ${Z}^{\ensuremath{'}}$ gauge boson to find a more conservative and robust limit, different from previous studies. We investigate the impact of these new decay channels for several benchmark models in the scope of two different 3-3-1 models. We found that in the most constraining cases, LHC with $139\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ can impose ${m}_{{Z}^{\ensuremath{'}}}>4\text{ }\text{ }\mathrm{TeV}$. Moreover, we forecast high-luminosity LHC, high-energy LHC, and Future Circular Collider reach, and derive the projected bounds ${m}_{{Z}^{\ensuremath{'}}}>5.8\text{ }\text{ }\mathrm{TeV}$, ${m}_{{Z}^{\ensuremath{'}}}>9.9\text{ }\text{ }\mathrm{TeV}$, and ${m}_{{Z}^{\ensuremath{'}}}>27\text{ }\text{ }\mathrm{TeV}$, respectively. Lastly, we put our findings into perspective with dark matter searches to show the region of parameter space where a dark matter candidate with the right relic density is possible.