Multiloop corrections for collider processes using auxiliary mass flow

TL;DR

This paper advances the auxiliary mass flow method to efficiently compute complex multi-loop Feynman integrals, enabling precise predictions for collider processes crucial for future high-energy physics research.

Contribution

It introduces an improved auxiliary mass flow technique capable of handling multi-loop integrals in collider physics, providing new computational tools for high-precision calculations.

Findings

Successfully computed two-loop electroweak corrections to e+e-→HZ

Calculated two-loop QCD corrections for multiple collider processes

Provided benchmark results for future collider physics studies

Abstract

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 $e^+e^-\to HZ$, two-loop QCD corrections to $3j$, $W/Z/H+2j$, $t\bar{t}H$ and $4j$ production at hadron colliders, and three-loop QCD corrections to $t\bar{t}$ 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.