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The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited

T. Ebertshäuser·H. W. Fearing·S. Scherer
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Abstract

We present a revised and extended construction of the mesonic Lagrangian density in chiral perturbation theory (ChPT) at order $p^6$ in the anomalous (or epsilon) sector, ${\cal{L}}_{6,ε}$. After improving several aspects of the strategy we used originally, i.e., a more efficient application of partial integration, the implementation of so-called Bianchi identities, and additional trace relations, we find the new monomial sets to include 24 $SU(N_f)$, 23 SU(3), and 5 SU(2) elements. Furthermore, we introduce 8 supplementary terms due to the extension of the chiral group to $SU(N_f)_L \times SU(N_f)_R \times U(1)_V$.

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T. Ebertshäuser, H. W. Fearing, S. Scherer. 2001-10-18. The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited. https://doi.org/10.1103/physrevd.65.054033

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