{
  "abstract": "A constant magnetic field modifies the hard electric screening sector of hot and dense QCD and generates a directional splitting at $\\mathcal{O}(g^4)$. We determine the strict-hard screening pole through $g^4$ for three massless flavors with physical $u,d,s$ charges, retaining the full $eB/T^2$ dependence without a weak- or strong-field expansion. The shifted-frequency construction used for the two-loop exchange contribution is a background-field Feynman-gauge curvature; we derive and apply its local conversion to the ordinary Feynman-gauge self-energy before assembling the screening pole. The leading magnetic shift is isotropic, while the $g^4$ directional splitting arises from the one-loop anisotropic kinetic normalization; the symmetry-allowed finite-density $A_0F_{12}$ mixing is numerically small over the studied range for physical $u,d,s$ charges. For $μ/T=0$ and $1$, the magnetic $g^4$ coefficient is positive over $0\\le eB/T^2\\le4$ and is strongly reduced by density. Extending the calculation to $0\\leμ/T\\le2$ at $eB/T^2=1$ and $4$ reveals sign reversals of both the leading magnetic coefficient and the directional splitting at sufficiently large density. The zero-field limit reproduces the Braaten-Nieto result and its finite-density extension by Vuorinen. The running coupling used only for the phenomenological magnetic mass shift is chosen independently of $B$, so that all magnetic-field dependence through $g^4$ resides in the calculated coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28437",
  "author_total": 1,
  "authors": [
    {
      "name": "Najmul Haque"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f6axapdy4jz9y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28437",
  "fulltext_url": null,
  "id": "f6axapdy4jz9y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28437",
  "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-ph"
    ],
    [
      "openalex",
      "3106|High-Energy Particle Collisions Research"
    ]
  ],
  "openalex": "W7223132670",
  "pdf_url": "https://arxiv.org/pdf/2610.28437",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f6axapdy4jz9y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.28437",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28437"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Magnetic-field dependence of the QCD electric screening mass parameter through $g^4$ in hot and dense matter",
  "title_text": "Magnetic-field dependence of the QCD electric screening mass parameter through g^4 in hot and dense matter",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/f6axapdy4jz9y",
  "venue": "arXiv",
  "versions": []
}