  New particles entering into self-energies of the Higgs boson would
necessarily modify loop-induced couplings of the Higgs, if the new particle
carries standard model gauge quantum numbers. For a 1 TeV new particle,
deviations in these "Higgs oblique corrections" are generically of the order of
v^2/(1 TeV)^2 ~ 5%. We study constraints on masses and couplings of new scalars
and fermions that can be derived from 5-10% deviations in the Higgs digluon and
diphoton partial widths. To reduce theoretical uncertainties, we present
next-to-leading order QCD corrections to the Higgs-to-digluon coupling for
scalars and fermions in arbitrary representations of SU(3) color group, by
applying the low-energy Higgs theorems at two-loop order. As a by-product we
provide a new value for NLO QCD corrections to the top squark contributions to
digluon decays that differs from existing literature. We also emphasize that
precise measurements of Higgs couplings to W boson and top quark are
prerequisite to precise determinations of Higgs oblique corrections from new
particles.
