Triply charged Higgs bosons at a 100 TeV $pp$ collider

The neutral Higgs boson predicted from spontaneous breaking of electroweak symmetry in the standard model (SM) has been discovered. Precision test of the Higgs boson properties is one of the promising ways to study new physics beyond SM. Some of the most important information to know is whether there are additional Higgs bosons, neutral, singly charged and even multi-charged ones. In this work, we study the potential to search for triply charged Higgs bosons in the final state with at least three same-sign leptons. A detailed collider analysis of the SM backgrounds and signals at a 100~TeV $pp$ collider is performed with $5\sigma$ discovery prospects being obtained, which are expressed as a function of the vacuum expectation value (VEV) $v_{\mathrm{\Delta }}$ or the mass splitting $\mathrm{\Delta }m$. We also revisit the sensitivity at the Large Hadron Collider (LHC) by projecting that at a 100~TeV $pp$ collider. For a comparison, two benchmark values $v_{\mathrm{\Delta }}={10}^{-6}\text{ GeV}$ and $5\times 10^{-3}~$\text{GeV}$$ are taken. We find that for the triply charged Higgs boson mass below 1~TeV $5\sigma$ discovery significance can be reached at a 100~TeV $pp$ collider with $3.3{\text{fb}}^{-1}$ and $110{\text{fb}}^{-1}$ of data, respectively, the sensitivity of which is much better than that at the LHC.