{
  "annotation_id": "d3cfa66f-cd15-449d-9dc5-924f9f0d8e39",
  "date_created": "2026-02-17T05:53:11.895000Z",
  "date_modified": "2026-02-17T05:53:11.895000Z",
  "file_hash": "fabff577eeedbd6ab65bf61acf868789fced43cd7202d5e17a89a9105f3270ea",
  "private": false,
  "record": {
    "abstract": "We assess the accuracy of our previous Asymptotic Pad\\\u0027e predictions of the five-loop QCD $\\beta$-function and quark mass anomalous dimension in the light of subsequent exact results. We find the low-order coefficients in an expansion in powers of $N_F$ (the number of flavours) were correct to within $1\\%$. Furthermore an examination of recent results in $\\lambda\\phi^4$ theory indicates that the Asymptotic Pad\\\u0027e methods deliver predictions which increase in accuracy with loop order. Encouraged by this, we present six-loop Asymptotic Pad\\\u0027e predictions for the QCD $\\beta$-function and quark mass anomalous dimension, and also for the eight-loop $\\beta$-function in $O(N)$ $\\lambda\\phi^4$ theory.",
    "arxiv_id": "2601.07596",
    "authors": [
      "J. A. Gracey",
      "I. Jack",
      "D. R. T. Jones"
    ],
    "categories": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Asymptotic Pad\\\u0027e Predictions up to Six Loops in QCD and Eight Loops in $\\lambda\\phi^4$",
    "url": "https://arxiv.org/abs/2601.07596",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "27a48381-f41c-4c0b-98aa-a9bcfcd45904",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}