{
  "abstract": "Recently, the NNLO perturbative QCD pressure of cold and dense symmetric matter, with arbitrary quark masses, has been resummed within the renormalization-group-optimized perturbation theory (RGOPT) framework. By being imbued with renormalization group properties, the resulting pressure is less sensitive to renormalization scale ($Λ\\equiv X μ_B/3$) variations than the NNLO perturbative QCD pressure. Here, we extend this by considering $β$-equilibrium and charge neutrality to evaluate the corresponding equation of state (EoS). We provide a compact ``pocket\" fitting formula for the EoS for $N_f=2+1$ massive quarks at different renormalization scale parameter ($X$) values. We describe pure quark stars as well as hybrid stars with quark-cores. Pure quark stars compatible with astrophysical observations were obtained with $X=2.71-3.30$, whereas a larger value (3.84) is needed if the secondary component of the observation GW190814 represents a neutron star. Hybrid stars were built considering three representative hadron models based on a relativistic mean-field description, and chosen to produce soft and stiff EoSs. Stable hybrid stars with masses compatible with the massive pulsar PSR J0740+6620 were obtained considering $X$ of the order of 2 to $2.71$, the largest scale giving rise to hybrid stars with a large quark core with a radius of 2 to 8 km , and the smallest to a small quark core at the center of the star.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.29576",
  "author_total": 6,
  "authors": [
    {
      "name": "Loïc Fernandez"
    },
    {
      "name": "Jean-Loïc Kneur"
    },
    {
      "name": "Marcus Benghi Pinto"
    },
    {
      "name": "Constança Providência"
    },
    {
      "name": "Claudia Ratti"
    },
    {
      "name": "Tulio E. Restrepo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1y54ds5ph1ehc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.29576",
  "fulltext_url": null,
  "id": "1y54ds5ph1ehc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.29576",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7166704735",
  "pdf_url": "https://arxiv.org/pdf/2606.29576",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1y54ds5ph1ehc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:37Z",
      "native_id": "2606.29576",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.29576"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD",
  "title_text": "Quark and hybrid stars with renormalization group improvement of NNLO perturbative QCD",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:37Z",
  "url": "https://research.draconitic.com/paper/1y54ds5ph1ehc",
  "venue": "arXiv",
  "versions": []
}