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

Higgs boson production in association with three jets via gluon fusion at the LHC: Gluonic contributions