At the LHC the dominant production channel for the Higgs boson is gluon fusion. For studies of the Higgs production through weak boson fusion one wants to reduce the gluon fusion background, by requiring a large invariant mass of the dijet system. Thus calculations of gluon fusion become sensitive to high energy logarithms. In my talk I will present new calculations of such high energy effect within the framework of High Energy Jets. In particular I will focus on finite quark-mass corrections in the Higgs to gluon coupling.