Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2)_{e,\mu}$ in two higgs doublet models
L. T. Hue, A. E. C\'arcamo Hern\'andez, H. N. Long, and T. T.Hong

TL;DR
This paper proposes an extension of two Higgs doublet models with heavy neutrinos and a charged Higgs to explain the anomalous magnetic moments of electrons and muons, highlighting the role of large couplings and specific parameter space conditions.
Contribution
It introduces a novel model extension with charged Higgs and heavy neutrinos that can account for the $(g-2)_{e, u}$ anomalies through large one-loop contributions.
Findings
Heavy charged Higgs bosons above TeV scale are compatible with data.
Large non-unitary active neutrino mixing is required.
Non-degenerate charged Higgs bosons with mixing are essential.
Abstract
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 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.
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