Soft triple-real radiation for Higgs production at N3LO

Understand

We present the two first terms in the threshold expansion of Higgs production partonic cross-sections at hadron colliders for processes with three partons in the final state.

• These are contributions to the inclusive Higgs cross-section in gluon fusion at N3LO.
• We have developed a new technique for the expansion of the squared matrix-elements around the soft limit and for the reduction of the required phase-space integrals to only ten single-scale master integrals.
• We compute the master integrals building upon modern techniques for the integration of multidimensional integrals in dimensional regularization.