{
  "id": "1211.3018",
  "version": "v1",
  "published": "2012-11-13T15:19:18.000Z",
  "updated": "2012-11-13T15:19:18.000Z",
  "title": "Higher order corrections to the hydrogen spectrum from the Standard-Model Extension",
  "authors": [
    "Theodore J. Yoder",
    "Gregory S. Adkins"
  ],
  "comment": "13 pages, 1 figure",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We have studied the effects of the Standard-Model Extension (SME) on hydrogen as a realization of new physics effects that incorporate Lorentz and CPT violation. Specifically, we calculated the SME-induced energy level shifts at order $\\alpha^2$ times the SME parameters. We obtained contributions at this order both from the non-relativistic effective Hamiltonian for motion of a spin-1/2 particle in the presence of SME interactions and also from SME corrections to the propagator for exchange photons. We applied our result to the $2S-1S$ transition in hydrogen, which has been measured with extremely high precision. The results obtained in this work give the leading SME corrections for this transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-13T15:19:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Cp",
      "11.30.Er",
      "12.60.-i",
      "32.30.-r"
    ],
    "keywords": [
      "higher order corrections",
      "standard-model extension",
      "hydrogen spectrum",
      "sme corrections",
      "sme-induced energy level shifts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.86.116005",
      "journal": "Physical Review D",
      "year": 2012,
      "month": "Dec",
      "volume": 86,
      "number": 11,
      "pages": 116005
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvD..86k6005Y",
      "inspire": 1202511
    }
  }
}