The anomalous chiral Lagrangian of order $p^6$
We construct the effective chiral Lagrangian for chiral perturbation
theory in the mesonic odd-intrinsic-parity sector at order $p^6$. The
Lagrangian contains 24 in principle measurable terms and no
contact terms for the general case of $N_f$ light flavors, 23
terms for three and five for two flavors. In the two flavor case we
need a total of 13 terms if an external singlet vector field is
included. We
discuss and implement the methods used to reduce to a minimal
set. The infinite parts needed for renormalization are calculated and
presented as well.