Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2)_{e,\mu}$ in two higgs doublet models

We show that simple extensions of two higgs doublet models consisting of new heavy neutrinos and a singly charged Higgs boson singlet can successfully explain the experimental data on muon and electron anomalous magnetic moments thanks to large chirally-enhanced one-loop level contributions. These contributions arise from the large couplings of inverse seesaw neutrinos with singly charged Higgs bosons and right-handed charged leptons. The regions of parameter space satisfying the experimental data on $(g-2)_{e,\mu}$ anomalies allow heavy singly charged Higgs boson masses above the TeV scale, provided that heavy neutrino masses are above few hundred GeV, the non-unitary part of the active neutrino mixing matrix must be large enough, two singly charged Higgs bosons are non-degenerate, and the mixing between singly charged Higgs bosons must be non-zero.
Comment: 23 pages, 6 figures