The anomalous chiral Lagrangian at order p 8
Bijnens, Johan LU
; Hermansson-Truedsson, Nils
LU
and Ruiz-Vidal, Joan
LU
(2024)
In Journal of High Energy Physics
2024(1).
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/73f6123e-6eb2-4d40-a0cb-36bccff6dbca
- author
- Bijnens, Johan
LU
; Hermansson-Truedsson, Nils
LU
and Ruiz-Vidal, Joan
LU
- organization
- publishing date
- 2024-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Chiral Lagrangian, Effective Field Theories of QCD
- in
- Journal of High Energy Physics
- volume
- 2024
- issue
- 1
- article number
- 9
- publisher
- Springer
- external identifiers
-
- scopus:85181487486
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP01(2024)009
- language
- English
- LU publication?
- yes
- id
- 73f6123e-6eb2-4d40-a0cb-36bccff6dbca
- date added to LUP
- 2024-02-08 13:49:17
- date last changed
- 2024-02-08 13:49:17
@article{73f6123e-6eb2-4d40-a0cb-36bccff6dbca,
abstract = {{<p>We derive the order p <sup>8</sup> 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<sub>f</sub> , 705 for N<sub>f</sub> = 3 and 92 for N<sub>f</sub> = 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<sub>f</sub> = 2, instead yields 1210 operators for a general N<sub>f</sub> , 892 for N<sub>f</sub> = 3 and 211 for N<sub>f</sub> = 2.</p>}},
author = {{Bijnens, Johan and Hermansson-Truedsson, Nils and Ruiz-Vidal, Joan}},
issn = {{1029-8479}},
keywords = {{Chiral Lagrangian; Effective Field Theories of QCD}},
language = {{eng}},
number = {{1}},
publisher = {{Springer}},
series = {{Journal of High Energy Physics}},
title = {{The anomalous chiral Lagrangian at order p <sup>8</sup>}},
url = {{http://dx.doi.org/10.1007/JHEP01(2024)009}},
doi = {{10.1007/JHEP01(2024)009}},
volume = {{2024}},
year = {{2024}},
}