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Abstract In certain new physics scenarios, a singly charged Higgs boson can couple to both fermions and W±Z at tree level. We develop new strategies beyond current experimental searches using pp → jjH±, H± → tb at the Large Hadron Collider (LHC). With the effective H±W∓Z and H±tb couplings we perform a model-independent analysis at the collision energy s = 13 $$ \sqrt{s}=13 $$ TeV with the...