{
  "id": "2001.04481",
  "version": "v1",
  "published": "2020-01-13T19:00:10.000Z",
  "updated": "2020-01-13T19:00:10.000Z",
  "title": "New Selection Rules from Angular Momentum Conservation",
  "authors": [
    "Minyuan Jiang",
    "Jing Shu",
    "Ming-Lei Xiao",
    "Yu-Hui Zheng"
  ],
  "comment": "10 pages, 5 figures, 3 tables",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We derive the generalized partial wave expansion for $M \\rightarrow N$ scattering amplitude in terms of spinor helicity variables. The basis amplitudes of the expansion with definite angular momentum $j$ consist of the Poincare Clebsch-Gordan coefficients, while $j$ constrains the UV physics that could generate the corresponding operators at tree level. Moreover, we obtain a series of selection rules that restrict the anomalous dimension matrix of effective operators and the way how effective operators contribute to some $2 \\rightarrow N$ amplitudes at the loop level.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-13T19:00:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "angular momentum conservation",
      "selection rules",
      "generalized partial wave expansion",
      "poincare clebsch-gordan coefficients",
      "definite angular momentum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}