{
  "abstract": "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 $M_π/F_π$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: JHEP 09 (2026) 262",
  "arxiv": "2606.16781",
  "author_total": 2,
  "authors": [
    {
      "name": "Johan Bijnens"
    },
    {
      "name": "Daniil Krichevskiy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1yqyyyry95r0s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.16781",
  "fulltext_url": null,
  "id": "1yqyyyry95r0s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.16781",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.16781",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1yqyyyry95r0s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2606.16781",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.16781"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "QCD-like theories at next-to-next-to-leading order with $N_F=2$ non-degenerate fermions",
  "title_text": "QCD-like theories at next-to-next-to-leading order with N_F=2 non-degenerate fermions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/1yqyyyry95r0s",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/jhep09(2026)262",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}