Three loop MS anomalous dimension for renormalizable gauge invariant non-local gluon mass operator in QCD

摘要

The three loop anomalous dimension for the gauge invariant, renormalizable, non-local mass operator for a gluon is computed in the MS scheme. In addition the anomalous dimensions of the associated localizing ghost fields are also deduced at the same order and it is shown that the three loop QCD __-function correctly emerges from the gluon localizing ghost vertex renormalization.