  With the standard model working well in describing the collider data, the
focus is now on determining the standard model parameters as well as for any
hint of deviation. In particular, the determination of the couplings of the
Higgs boson with itself and with other particles of the model is important to
better understand the electroweak symmetry breaking sector of the model. In
this letter, we look at the process $pp \to WWH$, in particular through the
fusion of bottom quarks. Due to the non-negligible coupling of the Higgs boson
with the bottom quarks, there is a dependence on the $WWHH$ coupling in this
process. This sub-process receives largest contribution when the $W$ bosons are
longitudinally polarized. We compute one-loop QCD corrections to various final
states with polarized $W$ bosons. We find that the corrections to the final
state with the longitudinally polarized $W$ bosons are large. It is shown that
the measurement of the polarization of the $W$ bosons can be used as a tool to
probe the $WWHH$ coupling in this process. We also examine the effect of
varying $WWHH$ coupling in the $\kappa$-framework.
