Radiatively-induced Lorentz and CPT violating Chern–Simons term in QED

We calculate the induced Lorentz- and CPT-violating Chern–Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a bμψ̄γμγ5ψ term. The result to all orders in b coincides with the previous linear-in-b calulation by Chung and Oh [hep-th/9812132] as well as Jackiw and Kostelecký [Phys. Rev. Lett. 82 (1999) 3572], since all higher order terms vanish.