Exact N$^3$LO results for $q q^\prime\to H +X$

Understand

We compute the contribution to the total cross section for the inclusive production of a Standard Model Higgs boson induced by two quarks with different flavour in the initial state.

• Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy.
• We describe the reduction to master integrals, the construction of a canonical basis, and the solution of the corresponding differential equations.
• Our analytic result contains both Harmonic Polylogarithms and iterated integrals with additional letters in the alphabet.