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We assess the current state of searches at the LHC for additional Higgs bosons in light of both direct limits and indirect bounds coming from coupling measurements of the Standard Model-like Higgs boson. Given current constraints, we identify and study three LHC searches that are critical components of a comprehensive program to investigate extended electroweak symmetry breaking sectors: production of a heavy scalar or pseudoscalar with decay to tt̄ ; bb̄ and tt̄ associated production of a heavy scalar or pseudoscalar with decay to invisible final states; and tb̄ associated production of a charged Higgs with decay to tb̄ . Systematic experimental searches in these channels would contribute to robust coverage of the possible single production modes of additional heavy Higgs bosons.
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Craig et al. (2015) studied this question.
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