Discriminating the HTM and MLRSM models in collider studies via doubly charged Higgs boson pair production and the subsequent leptonic decays

We present a case study for the doubly charged Higgs boson H-+/-+/- pair production in and e(+)e(-) colliders with their subsequent decays to four charged leptons. We consider the Higgs Triplet Model (HTM), which is not restricted by the custodial symmetry, and the Minimal Left-Right Symmetric Model (MLRSM). These models include scalar triplets with different complexities of scalar potentials and, because of experimental restrictions, completely different scales of non-standard triplet vacuum expectation values. In both models, a doubly charged Higgs boson H-+/-+/- can acquire a mass of hundreds of gigaelectronvolts, which can be probed at the HL-LHC, future e(+)e(-), and hadron colliders. We take into account a comprehensive set of constraints on the parameters of both models coming from neutrino oscillations, LHC, e(+)e(-), and low-energy lepton flavor violating data and assume the same mass of H-+/-+/-. Our finding is that the H-+/-+/- pair production in lepton and hadron colliders is comparable in both models, though more pronounced in the. We show that the decay branching ratios can be different within both models, leading to distinguishable four-lepton signals, and that the strongest are 4 mu events yielded by the MLRSM. Typically, we find that the signals are one order of magnitude larger those in the. For example, the pp -> 4 mu signal for 1 TeV H-+/-+/- mass results in a clearly detectable significance of S similar or equal to 11 for the HL-LHC and S similar or equal to 290 for the FCC-hh. Finally, we provide quantitative predictions for the dilepton invariant mass distributions and lepton separations, which help to identify non-standard signals.