中国物理学会高能物理分会第十一届全国会员代表大会暨学术年会

The renormalization constant of the flavor-singlet axial-vector current operator with a non-anticommuting $\gamma_5$ in dimensional regularization is determined to order $\alpha_s^5$ in QCD with massless quarks. The result is obtained from a four-loop calculation by the virtue of a formula derived using the Adler-Bell-Jackiw equation in terms of renormalized operators. A possible application of this result for resumming the non-decoupling mass logarithms in the axial quark form factors will be discussed.