Efficient computation of two-loop amplitudes for Higgs boson pair production

Understand

We present a precise and efficient computation of the two-loop amplitudes entering the Higgs boson pair production process via gluon fusion.

• Our approach is based on the small-Higgs-mass expansion while keeping the full dependence on the top quark mass and other kinematic invariants.
• We compare our results to the up-to-date predictions based on a combination of sector decomposition and high-energy expansion.
• We find that our method provides precision numeric predictions in the entire phase space, while at the same time is highly efficient as the computation can be easily performed on a normal desktop or laptop computer.