The Heavy Quark Form Factors at Two Loops

TL;DR

This paper calculates two-loop quantum chromodynamics corrections to heavy quark form factors for various currents, including necessary terms for renormalization, advancing precision in theoretical predictions.

Contribution

It provides the first comprehensive computation of two-loop corrections for heavy quark form factors across multiple current types, including epsilon-expansion terms.

Findings

Two-loop corrections are explicitly calculated for vector, axial-vector, scalar, and pseudo-scalar currents.

Results include epsilon-expansion terms essential for higher-order renormalization.

The work enhances the accuracy of theoretical models involving heavy quarks.

Abstract

We compute the two-loop QCD corrections to the heavy quark form factors in case of the vector, axial-vector, scalar and pseudo-scalar currents up to second order in the dimensional parameter $\epsilon = (4-D)/2$. These terms are required in the renormalization of the higher order corrections to these form factors.