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We examine the sensitivity of the Large Hadron Collider (LHC) to light lepton
portal dark matter with its mass below 10$\,$GeV. The model features an extra
doublet scalar field and singlet Dirac dark matter, which have Yukawa
interactions with left-handed leptons. To correctly produce the dark matter
abundance via the thermal freeze-out, a large mass splitting among the extra
scalars is required, thus providing a light neutral scalar below ${\cal
O}(10)$GeV and heavy neutral and charged scalars at the electroweak scale. In
this paper, we focus on the electroweak pair-production of the extra scalars
with subsequent model-specific scalar decays and evaluate the current
constraints with the LHC Run$\,$2 data and the discovery potential at the High
Luminosity LHC (HL-LHC). It turns out that a large part of the theoretically
allowed parameter space can be tested at the HL-LHC by taking into account
complementarity between slepton searches and mono-$Z$ plus missing transverse
energy search. We also discuss same-sign charged scalar production as a unique
prediction of the model, and the implication of the collider searches in the
thermal dark matter scenario.
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