Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence

Understand

We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs$\to 3$ partons, with full heavy-quark mass dependence.

• These are relevant for the NNLO corrections to fully inclusive Higgs production and to the NLO corrections to Higgs production in association with a jet, in the full theory.
• The computation is performed using the differential equations method.
• Whenever possible, a basis of master integrals that are pure functions of uniform weight is used.