  The differential distributions in rapidity and angles of the secondary lepton
in the associated production of the top quark pair and higgs boson in
proton-proton collisions at the LHC are quite sensitive to the top-higgs
coupling. However, the effects of anomalous couplings of the most general t
anti-t h interaction with operators of dimension-six that are clearly visible
in the signal of the associated production of the top quark pair and higgs
boson are to large extent obscured by the background sub-processes with the
same final state. This means that analyses of such effects, in addition to
higher order corrections that are usually calculated for the on-shell top
quarks and higgs boson, should include their decays and possibly complete off
resonance background contributions to the corresponding exclusive reactions.
