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 Nf , 705 for Nf = 3 and 92 for Nf = 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 Nf = 2, instead yields 1210 operators for a general Nf , 892 for Nf = 3 and 211 for Nf = 2.

Original languageEnglish
Article number9
JournalJournal of High Energy Physics
Volume2024
Issue number1
DOIs
Publication statusPublished - 2024 Jan

Subject classification (UKÄ)

  • Subatomic Physics

Free keywords

  • Chiral Lagrangian
  • Effective Field Theories of QCD

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