  We study Higgs boson plus two high energy jets production at the LHC in the
kinematics where the two jets are well separated in rapidity. The partonic
processes are dominated by the t-channel weak boson fusion (WBF) and gluon
fusion (GF) contributions. We derive the associated QCD resummation formalism
for the correlation analysis where the total transverse momentum q_\perp of the
Higgs boson and two jets is small. Because of different color structures, the
resummation results lead to distinguished behaviors: the WBF contribution peaks
at relative low q_\perp while all GF channel contributions are strongly
de-correlated and spread to a much wider q_\perp range. By applying a kinematic
cut on q_\perp, one can effectively increase the WBF signal to the GF
background by a significant factor. This greatly strengthens the ability to
investigate the WBF channel in Higgs boson production and study the couplings
of Higgs to electroweak bosons.
