Methods for Higgs boson production at N³LO

We discuss methods for the calculation of the total partonic Higgs boson production cross section via gluon fusion and the result for the contribution that stems from two quarks of different flavor in the initial state. Our calculation is exact in the Higgs boson mass and the partonic center-of-mass energy. The result is expressed in terms of iterated integrals, some of which are Harmonic Polylogarithms, whereas others are new iterated integrals. We comment on the methods relevant for the reduction to scalar integrals and new types of function that appear in the final result.