Two-loop massless QCD corrections to the g + g → H + H four-point amplitude
Pulak Banerjee (The Institute of Mathematical Sciences, HBNI, Taramani, Chennai, 600113, India); Sophia Borowka (Theoretical Physics Department, CERN, Geneva, CH-1211, Switzerland); Prasanna Dhani (The Institute of Mathematical Sciences, HBNI, Taramani, Chennai, 600113, India); Thomas Gehrmann (Physik-Institut, Universität Zürich, Winterthurerstrasse 190, Zürich, CH-8057, Switzerland); V. Ravindran (The Institute of Mathematical Sciences, HBNI, Taramani, Chennai, 600113, India)
We compute the two-loop massless QCD corrections to the four-point amplitude g + g → H + H resulting from effective operator insertions that describe the interaction of a Higgs boson with gluons in the infinite top quark mass limit. This amplitude is an essential ingredient to the third-order QCD corrections to Higgs boson pair production. We have implemented our results in a numerical code that can be used for further phenomenological studies.
