Connecting muon anomalous magnetic moment and multi-lepton anomalies at LHC

In a previous paper by several of the authors a number of predictions were made in a study pertaining to the anomalous production of multiple leptons at the Large Hadron Collider (LHC). Discrepancies in multi-lepton final states have become statistically compelling with the available Run 2 data. These could be connected with a heavy boson, H, which predominantly decays into a standard model Higgs boson, h, and a singlet scalar, S, where m(H) approximate to 270 GeV and m(S) approximate to 150 GeV. These can then be embedded into a scenario where a two-Higgs-doublet is considered with an additional singlet scalar, 2HDM+S. The long-standing discrepancy in the muon anomalous magnetic moment, Delta a(mu) is interpreted in the context of the 2HDM+S type-II and type-X, along with additional fermionic degrees of freedom. The 2HDM+S model alone, with constraints from the LHC data, does not seem to explain the Delta a(mu) anomaly. However, adding fermions with mass of order O(100) GeV can explain the discrepancy for sufficiently low values of fermion-scalar couplings.