Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO

Understand

We present the computation of the contributions to N3LO inclusive Higgs boson production due to two-loop amplitudes.

• Our result is a Laurent expansion in the dimensional regulator, with coefficients that are linear combinations of harmonic polylogarithms of the ratio of the Higgs boson mass and the partonic center of mass energy.
• We outline our method of solving the differential equations for master integrals appearing in the cross section.
• Solving these differential equations requires the determination of boundary conditions and we present a new technique for decomposing the boundary conditions into physical contributions.