The Higgs + jet channel at the LHC is sensitive to the effects of new physics
both in the total rate and in the transverse momentum distribution at high p_T.
We examine the production process using an effective field theory (EFT)
language and discuss the possibility of determining the nature of the
underlying high scale physics from boosted Higgs production. The effects of
heavy color triplet scalars and top partner fermions with TeV scale masses are
considered as examples and Higgs-gluon couplings of dimension-5 and dimension-7
are included in the EFT. As a by-product of our study, we examine the region of
validity of the EFT. Dimension-7 contributions in realistic new physics models
give effects in the high p_T tail of the Higgs signal which are so tiny that
they are likely to be unobservable.