Renormalization of the flavorsinglet axialvector current and its anomaly in dimensional regularization
Abstract
The renormalization constant Z_{J} of the flavorsinglet axialvector current with a nonanticommuting γ_{5} in dimensional regularization is determined to order α_{s}^{3} in QCD with massless quarks. The result is obtained by computing the matrix elements of the operators appearing in the axialanomaly equation [∂_{μJ5μ]R}=α/_{s}4 π n_{f}T_{F}[F_{F ∼ ]R} between the vacuum and a state of two (offshell) gluons to 4loop order. Furthermore, through this computation, the equality between the MS ¯ renormalization constant Z_{F F ∼} associated with the operator [F_{F ∼ ]R} and that of α_{s} is verified explicitly to hold true at 4loop order. This equality automatically ensures a relation between the respective anomalous dimensions, γ_{J}=α/_{s}4 π n_{f}T_{F}γ_{FJ}, at order α_{s}^{4} given the validity of the axialanomaly equation which was used to determine the nonMS ¯ piece of Z_{J} for the particular γ_{5} prescription in use.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2021
 DOI:
 10.1007/JHEP05(2021)087
 arXiv:
 arXiv:2101.09479
 Bibcode:
 2021JHEP...05..087A
 Keywords:

 NLO Computations;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 23 pages, 4 figures and 1 table, references updated, matched with the published version in JHEP