The hunt for the rest of the Higgs bosons

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 t (t) over bar; b (b) over bar and t (t) over bar associated production of a heavy scalar or pseudoscalar with decay to invisible final states; and t (b) over bar associated production of a charged Higgs with decay to (t) over barb. Systematic experimental searches in these channels would contribute to robust coverage of the possible single production modes of additional heavy Higgs bosons.