  Higgs production in association with three jets via gluon fusion (GF) is an
important channel for the measurement of the CP-properties of the Higgs
particle at the LHC. In this letter, we go beyond the heavy top effective
theory approximation and include at LO the full mass dependence of the top- and
bottom-quark contributions. We consider the dominant sub-channel gg -> H ggg
which involves the manipulation of massive rank-5 hexagon integrals.
Furthermore, we present results for several differential distributions and show
deviations from the effective theory as large as 100% at high pT for light
Higgs masses.
