With the rapidly increasing amount of data collected by the LHC, theorist must be on their toes to compete. This talk will focus on the process gg->gH with the full top mass dependence retained, which may double as Higgs-decay and as a contribution to three-loop Higgs-production, all processes of high phenomenological relevance. We will look an integral families, differential equations and iterated integrals, leading up to the result for the Feynman integrals involved which goes beyond the usual generalized polylogarithms, and into the space of elliptic integrals.