Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction

Understand

We obtain the two-loop QCD corrections to the Higgs plus three-parton amplitudes with dimension-seven operators in Higgs effective field theory.

• This provides the two-loop S-matrix elements for Higgs plus one-jet production at the LHC with top-mass correction.
• We apply efficient unitarity plus IBP methods which are described in detail.
• We also study the color decomposition of the fermion cuts and find a connection between fundamental and adjoint representations which can be used to reduce non-planar to planar unitarity cuts in the Higgs to three-gluon amplitudes.