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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 latex pages with separate file containing three loop expressions in Form notation

Scientific paper

10.1016/j.physletb.2009.03.029

The three loop anomalous dimension for the gauge invariant, renormalizable, non-local mass operator for a gluon is computed in the MSbar 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 beta-function correctly emerges from the gluon localizing ghost vertex renormalization.

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