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The anomalous chiral Lagrangian at order $p^8$
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abstract
We derive the order $p^8$ Lagrangian of odd intrinsic parity for mesonic chiral perturbation theory, and provide the resulting operator basis in the supplementary material. Neglecting the non-zero singlet trace, we find $999$ operators for a general number of quark flavours $N_f$, $705$ for $N_f=3$ and $92$ for $N_f=2$. Our numbers agree with those obtained through the Hilbert series approach in the literature. Including a singlet trace, as needed for the physical case of $N_f=2$, instead yields $1210$ operators for a general $N_f$, $892$ for $N_f=3$ and $211$ for $N_f=2$.
Forward citations
Cited by 3 Pith papers
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The paper constructs complete next-to-leading-order (vector-field) and next-to-next-to-leading-order (tensor-field and hidden-local-symmetry) chiral Lagrangians for the vector-meson nonet, and identifies redundant ter...
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Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian
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