On the two-loop amplitude for $gg \to ZZ$ production with full top-mass dependence

Understand

In this talk, we discuss top-quark contributions to $ZZ$ production through gluon fusion at two loops.

• We use syzygies and modular arithmetic to compute the reductions to master integrals.
• In order to numerically evaluate the amplitude, we express it in terms of finite integrals using a new method to construct integrable linear combinations of divergent integrands.