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

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

2001-10-18

arxiv.org/abs/hep-ph/0110261v1

Phys.Rev. D65 (2002) 054033

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, Latex, using RevTeX

Scientific paper

10.1103/PhysRevD.65.054033

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, ${\cal{L}}_{6,\epsilon}$. 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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