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I present a collider analysis for the charge asymmetry in the same-sign lepton final state, $p p \\to W^\\pm h \\to (\\ell^\\pm \\nu) (\\ell^\\pm \\nu jj)$, aimed at discovery significance for the SM $W^\\pm h$ production mode in each charge channel with 300 fb$^{-1}$ of 14 TeV LHC data. 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