The radiative corrections of the triangular anomaly
  We calculate the triangular anomaly in the next order in the Abelian-Higgs theory with an appropriate number of families of chiral fermions and with Yukawa couplings. The calculation is performed with the method of subtraction aided by the Ward- Takahashi identities. This anomaly amplitude is performed without any regularization and is found to vanish. 
Hung cheng and S.P. Li