The anomalous chiral Lagrangian at order p 8

Johan Bijnens; Nils Hermansson-Truedsson; Joan Ruiz-Vidal

doi:10.1007/JHEP01(2024)009

The anomalous chiral Lagrangian at order p ⁸

Johan Bijnens, Nils Hermansson-Truedsson, Joan Ruiz-Vidal

Particle and nuclear physics

University of Edinburgh

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	9
Journal	Journal of High Energy Physics
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2024)009
Publication status	Published - 2024 Jan

Subject classification (UKÄ)

Subatomic Physics

Free keywords

Chiral Lagrangian
Effective Field Theories of QCD

Access to Document

10.1007/JHEP01(2024)009

Cite this

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title = "The anomalous chiral Lagrangian at order p 8",

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.",

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AU - Hermansson-Truedsson, Nils

AU - Ruiz-Vidal, Joan

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N2 - 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.

AB - 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.

KW - Chiral Lagrangian

KW - Effective Field Theories of QCD

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DO - 10.1007/JHEP01(2024)009

M3 - Article

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SN - 1029-8479

VL - 2024

JO - Journal of High Energy Physics

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