  Composite Higgs models involving partial compositeness of Standard Model
fermions typically require the introduction of fermionic partners which are
relatively light in realistic scenarios. In this paper, we analyze the role of
these light custodian fermions in the phenomenology of the composite Higgs
models and show that they significantly modify couplings of the Higgs field. We
focus on the coupling to gluons in particular, which is of central importance
for Higgs production at the LHC. We show that this coupling can be increased as
well as decreased depending on the SM fermion embedding in the composite
multiplets. We also discuss modification of the Higgs couplings to bottom and
top quarks and show that modifications to all these three couplings Hgg, Htt,
and Hbb are generically independent parameters.
