Mass-corrections to double-Higgs production & TopoID

We consider power corrections due to a finite top-quark mass M t to the production of a Higgs bo-son pair within the Standard Model at next-to-leading order (NLO) in QCD. Previous calculations for this process and at this precision were done in the limit of an inifinitely heavy top quark. Our results for the inclusive production cross section at NLO include terms up to O 1/M 12 t. We present the Mathematica package TopoID which for arbitrary processes aims to perform the necessary steps from Feynman diagrams to unrenormalized results expressed in terms of master integrals. We employ it for advancing in this process towards next-to-next-to-leading order (NNLO) where further automatization is needed. School of Elementary Particle and Astroparticle Physics (KSETA). We would like to thank Kirill Melnikov and Matthias Steinhauser for the productive collaboration and also for numerous cross-checks and useful suggestions concerning TopoID. c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.