Massive form factors at $\mathcal{O}(\alpha_s^3)$

TL;DR

This paper presents a semi-numerical method for calculating massive quark form factors at three-loop order, achieving high precision across all kinematic regimes, which advances theoretical predictions in quantum chromodynamics.

Contribution

The authors develop a semi-numerical approach using series expansions and numerical matching to compute massive quark form factors at $ ext{O}( ext{α}_s^3)$ across all kinematic ranges.

Findings

Achieved at least seven significant digits accuracy.

Covered the entire kinematic range of virtuality s.

Demonstrated the effectiveness of series expansion and numerical matching methods.

Abstract

We report on our recent calculation of massive quark form factors using a semi-numerical approach based on series expansions of the master integrals around singular and regular kinematic points and numerical matching. The methods allows to cover the whole kinematic range of negative and positive values of the virtuality $s$ with at least seven significant digits accuracy.