  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.
