Abstract
We derive the order p8 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.
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Acknowledgments
J. B. and J. R. V. are supported by the Swedish Research Council grants contract numbers 2016-05996 and 2019-03779. N. H.-T. was originally funded by the Swedish Research Council, project number 2021-06638, and now by the U.K. Research and Innovation, Engineering and Physical Sciences Research Council, grant number EP/X021971/1. N. H.-T. wishes to thank the Higgs Centre for Theoretical Physics at The University of Edinburgh for hosting him as a visitor when the first part of this work was done.
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Bijnens, J., Hermansson-Truedsson, N. & Ruiz-Vidal, J. The anomalous chiral Lagrangian at order p8. J. High Energ. Phys. 2024, 9 (2024). https://doi.org/10.1007/JHEP01(2024)009
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DOI: https://doi.org/10.1007/JHEP01(2024)009