Speaker
Description
We report progress toward understanding quark-mass effects in the (gg \rightarrow HH) amplitude at NNLO, at leading power in the high-energy limit (s, |t|, |u| \gg m_t^2 \gg m_H^2). The logarithmic behavior of this process in this regime has recently been shown to follow a predictable, factorized pattern at leading power. We present results for the three-loop virtual QCD corrections in this limit. Together with the systematic inclusion of top-quark mass dependence through the running of the coupling and the massification procedure, these results will allow us to capture the dominant logarithmic contributions in the top-quark mass expansion at very high energies. These developments improve the theoretical prediction for (gg \rightarrow HH) at NNLO and, when combined with the real-real and real-virtual contributions, have the potential to reduce the associated mass-scheme uncertainty.