TY - JOUR
T1 - The anomalous chiral Lagrangian at order p8
AU - Bijnens, Johan
AU - Hermansson-Truedsson, Nils
AU - Ruiz-Vidal, Joan
N1 - SCOAP3 journal.
Funding Information:
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.
Funding Information:
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.
Publisher Copyright:
© 2024, The Author(s).
PY - 2024/1/3
Y1 - 2024/1/3
N2 - 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.
AB - 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.
KW - Chiral Lagrangian
KW - Effective Field Theories of QCD
U2 - 10.1007/JHEP01(2024)009
DO - 10.1007/JHEP01(2024)009
M3 - Article
SN - 1126-6708
VL - 2024
SP - 1
EP - 20
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 9
ER -