{
  "id": "2308.06315",
  "version": "v1",
  "published": "2023-08-11T18:00:00.000Z",
  "updated": "2023-08-11T18:00:00.000Z",
  "title": "An Algebraic Formula for Two Loop Renormalization of Scalar Quantum Field Theory",
  "authors": [
    "Elizabeth E. Jenkins",
    "Aneesh V. Manohar",
    "Luca Naterop",
    "Julie Pagès"
  ],
  "comment": "25 pages, 8 figures",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We give a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two derivatives, which extends 't Hooft's one-loop result. We show that factorizable topologies do not contribute to the renormalization group equations. The results will be combined with the geometric method in a subsequent paper to obtain the renormalization group equations for the scalar sector of effective field theories (EFT) to two-loop order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-11T18:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar quantum field theory",
      "algebraic formula",
      "renormalization group equations",
      "hoofts one-loop result",
      "two-loop renormalization counterterms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}