Constraining 3-3-1 models at the LHC and future hadron colliders

In this work, we derive lower mass bounds on the Z′ 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 fb-1, the high-energy LHC with s=27 TeV, and also at the Future Circular Collider with s=100 TeV. We take into account the presence of exotic and invisible decays of the Z′ 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 fb-1 can impose mZ′>4 TeV. Moreover, we forecast high-luminosity LHC, high-energy LHC, and Future Circular Collider reach, and derive the projected bounds mZ′>5.8 TeV, mZ′>9.9 TeV, and mZ′>27 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.