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The addition of a Higgs quadruplet to the standard model (SM) of quarks andleptons would shift the $W$ boson mass upward. It could also facilitate theproduction of dark matter through the conventional thermal freeze-out scenariovia Yukawa interaction with the Higgs quadruplet or freeze-in production fromthe decay of SM Higgs. We investigate the same-sign lepton smoking gunsignature of the double-charged scalar component of the Quadruplet Higgs at theLHC.

Higgs Quadruplet Impact on $W$ Mass Shift, Dark Matter, and LHC Signatures