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We study the anomalous muon and electron magnetic moments by introducing ascalar with CP-violating Yukawa couplings to the lepton sector. By fittingthese two magnetic moments with the recent experimental measurements, we findthat such a leptophilic scalar in the mass range of $\mathcal{O}(10)-\mathcal{O}(1000 )\,\rm GeV$ can be a possible source for the currentexperimental deviations from the Standard Model (SM) predictions, with$\mathcal{O}(0.1) - \mathcal{O}(1)$ Yukawa couplings. The current electron andmuon EDM constraints to the general CP-violating Yukawa couplings arediscussed. We propose to search such a leptophilic scalar mediated at thefuture high-luminosity LHC (HL-LHC) runs, as well as the high-energy leptoncolliders, including the CEPC and the muon collider. Our results show that theleptophilic scalar in the mass range of $\mathcal{O}(10)- \mathcal{O}(1000)\,\rm GeV$ can be fully probed by the future experimental searches at theHL-LHC and the lepton colliders at their early stages.

The collider tests of a leptophilic scalar for the anomalous magnetic moments