Challenges for analytic calculations of the massive three-loop form factors

TL;DR

This paper reviews the challenges and recent methodological improvements in calculating massive three-loop QCD form factors, focusing on gluonic contributions using the large moments method.

Contribution

It introduces new techniques that advance the calculation of gluonic three-loop form factors in QCD, building on previous quarkonic results.

Findings

Enhanced computational methods for gluonic contributions

Successful extension of large moments method to new form factors

Improved accuracy and efficiency in three-loop calculations

Abstract

The calculation of massive three-loop QCD form factors using in particular the large moments method has been successfully applied to quarkonic contributions in [1]. We give a brief review of the different steps of the calculation and report on improvements of our methods that enabled us to push forward the calculations of the gluonic contributions to the form factors.