Calculation of asymptotic behavior of form factors in non-Abelian gauge theories

Abstract

We calculate the leading contributions to the fermion-fermion-vector-meson form factor with non-Abelian gluons exchanged between the fermions in the region $\ensuremath{-}{q}^{2}\ensuremath{\gg}{p}^{2}$, ${p}^{\ensuremath{'}2}>{m}^{2}$, ${q}^{2}$ spacelike, to sixth order in perturbation theory. For either incoming photon or gluon we obtain a result which shows that these contributions do not add to give a simple form. This paper presents the calculation in detail.