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PreprintCC BY 4.0arXiv

QCD-like theories at next-to-next-to-leading order with NF=2 non-degenerate fermions

  • Johan Bijnens
  • Daniil Krichevskiy
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Abstract

QCD-like theories with NF=2 fermion flavours in real and pseudoreal representations are studied within Chiral Perturbation Theory. For the pseudoreal symmetry-breaking pattern $SU(4)/Sp(4)$, the reduced NLO Lagrangian is derived. The NLO and NNLO corrections to the pion masses, decay constants, and vacuum condensates are calculated for non-degenerate fermion masses, extending previous results obtained for degenerate masses and for the non-degenerate case at NLO. Using the available spectroscopic and scattering lattice data for the Sp(Nc=4) gauge theory with two fermion flavours, fits of the NLO low-energy constants are performed at NNLO precision. It is found that higher-order corrections are important for reproducing lattice observables and have a significant impact on the phenomenology of strongly interacting pionic dark matter, particularly in the regime of big Mπ/Fπ.

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Cite

BibTeXRIS
BibTeX
@misc{bijnens2026qcdlike,
  title = {{QCD-like theories at next-to-next-to-leading order with $N_F=2$ non-degenerate fermions}},
  author = {Johan Bijnens and Daniil Krichevskiy},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.16781},
  eprint = {2606.16781},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.16781},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - QCD-like theories at next-to-next-to-leading order with N_F=2 non-degenerate fermions
AU  - Johan Bijnens
AU  - Daniil Krichevskiy
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2606.16781
UR  - https://arxiv.org/abs/2606.16781
AB  - QCD-like theories with N_F=2 fermion flavours in real and pseudoreal representations are studied within Chiral Perturbation Theory. For the pseudoreal symmetry-breaking pattern $SU(4)/Sp(4)$, the reduced NLO Lagrangian is derived. The NLO and NNLO corrections to the pion masses, decay constants, and vacuum condensates are calculated for non-degenerate fermion masses, extending previous results obtained for degenerate masses and for the non-degenerate case at NLO. Using the available spectroscopic and scattering lattice data for the Sp(N_c=4) gauge theory with two fermion flavours, fits of the NLO low-energy constants are performed at NNLO precision. It is found that higher-order corrections are important for reproducing lattice observables and have a significant impact on the phenomenology of strongly interacting pionic dark matter, particularly in the regime of big M_π/F_π.
ER  -