Multiloop corrections for collider processes using auxiliary mass flow

With a key improvement, the auxiliary mass flow method is now able to compute Feynman integrals encountered in cutting-edge collider processes. We have successfully applied it to compute some integrals involved in two-loop electroweak corrections to e+e- -> HZ, two-loop QCD corrections to 3j, W=Z=H +2j, tt over bar H and 4j production at hadron colliders, and three-loop QCD corrections to tt over bar production at hadron colliders, all of which are crucial for precision frontier in collider physics in the following decade. Our results are important building blocks and benchmarks for future studies of these processes.

Automated summary

This article presents a key improvement in the auxiliary mass flow method, which can compute Feynman integrals encountered in cutting-edge collider processes. The authors have successfully applied this method to compute integrals crucial for precision frontier in collider physics. These results serve as important building blocks and benchmarks for future studies of these processes.