{
  "id": "1604.05726",
  "version": "v1",
  "published": "2016-04-19T20:00:13.000Z",
  "updated": "2016-04-19T20:00:13.000Z",
  "title": "Baryon Number, Lepton Number, and Operator Dimension in the Standard Model",
  "authors": [
    "Andrew Kobach"
  ],
  "comment": "5 pages",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We prove that for a given operator in the Standard Model (SM) with baryon number B and lepton number L, that the operator's dimension is even (odd) if (B-L)/2 is even (odd). Consequently, this establishes the veracity of statements that were long observed or expected to be true, but not proven, e.g., operators with B-L=0 are of even dimension, B-L must be an even number, etc. These results remain true even if the SM is augmented by any number of right-handed neutrinos with L=1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-19T20:00:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lepton number",
      "standard model",
      "baryon number",
      "operator dimension",
      "results remain true"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160405726K"
    }
  }
}