Abstract
Recent precise measurement of the electron anomalous magnetic moment (AMM)
adds to the longstanding tension of the muon AMM and together strongly point
towards physics beyond the Standard Model (BSM). In this work, we propose a
solution to both anomalies in an economical fashion via a light scalar that
emerges from a second Higgs doublet and resides in the $O(10)$-MeV to
$O(1)$-GeV mass range yielding the right sizes and signs for these
deviations due to one-loop and two-loop dominance for the muon and the
electron, respectively. A scalar of this type is subject to a number of various
experimental constraints, however, as we show, it can remain sufficiently light
by evading all experimental bounds and has the great potential to be discovered
in the near-future low-energy experiments. The analysis provided here is
equally applicable to any BSM scenario for which a light scalar is allowed to
have sizable flavor-diagonal couplings to the charged leptons. In addition to
the light scalar, our theory predicts the existence of a nearly degenerate
charged scalar and a pseudoscalar, which have masses of the order of the
electroweak scale. We analyze possible ways to probe new-physics signals at
colliders and find that this scenario can be tested at the LHC by looking at
the novel process $pp H^H^jj l^l^j j +
E\!\!\!\!/_T$ via same-sign pair production of charged Higgs bosons.
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