Quark ACM with Massive Gluon

Abstract

We calculate the effect of a small gauge-invariant mass of the gluon on anomalous chromomagnetic moment (ACM) of quarks at one loop order. We use perturbation theory to compute this form factor at an energy equal to the mass of Z-boson. We find that the gluon mass dependence is more evident for the light quarks while heavy quark like top shows almost no effect. Our calculation is relevant for dynamical mass generation mechanism and Curci-Ferrari model while topological mass generation mechnism has additional diagrams not considered here.