We present the results of computing the order $p^6$ low energy constants in the anomalous part of the chiral Lagrangian for both two and three flavor pseudoscalar mesons. This is a generalization of our previous work on calculating the order $p^6$ coefficients for the normal part of the chiral Lagrangian in terms of the quark self-energy $\Sigma (p^2)$. We show that most of our results are consistent with those we have found in the literature.

• Received 5 January 2010

DOI:https://doi.org/10.1103/PhysRevD.81.094037