We discuss the impact of non-standard Higgs couplings
at the LHC. Using a model-independent -effective Lagrangian- approach,
we focus on pure Higgs and Higgs-gauge operators, assuming that the new
physics scale is larger than the electroweak one. Present constraints and
future signals are explored, for those anomalous couplings which may be generated by tree-level
exchange of unknown heavy particles.
On a second stage, the quantum numbers of those possible tree-level
mediators are
identified, leading to additional correlated new signals.