Computation of the coefficients for $p^6$ order anomalous chiral Lagrangian

TL;DR

This paper computes the $p^6$ order low energy constants in the anomalous part of the chiral Lagrangian for two and three flavor pseudoscalar mesons, extending previous work on the normal part.

Contribution

It generalizes earlier calculations of $p^6$ order coefficients to include the anomalous part of the chiral Lagrangian for multiple flavors.

Findings

Results are consistent with existing literature.

Provides explicit coefficients for $p^6$ anomalous chiral Lagrangian.

Extends the computational framework to anomalous sectors.

Abstract

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