Anomalous chromomagnetic moment of quarks

TL;DR

This paper calculates the one-loop anomalous chromomagnetic moment of quarks, considering gluon mass effects, revealing significant variations and limitations of perturbation theory at certain energy scales.

Contribution

It provides a perturbative calculation of the quark chromomagnetic moment including gluon mass effects and discusses the validity of perturbation theory at different energy scales.

Findings

Partial agreement with previous calculations

Divergence observed in the results

Significant variation of the anomalous moment with gluon mass

Abstract

We do a perturbative calculation of the anomalous chromomagnetic dipole moment of quarks at one-loop, also considering the effect of a small gauge-invariant mass of the gluon. We find partial agreement with a previous calculation, as well as a divergence. We explain these results by noting that perturbation theory is not valid at the energy scales where these calculations were done, and proceed to give the results at the $M_Z$ scale. We find significant variation, of the anomalous moment of the light quarks, as a function of gluon mass.