{
  "id": "1104.3286",
  "version": "v2",
  "published": "2011-04-17T08:14:39.000Z",
  "updated": "2011-08-09T04:14:16.000Z",
  "title": "Anomalous $ω$-$Z$-$γ$ Vertex from Hidden Local Symmetry",
  "authors": [
    "Masayasu Harada",
    "Shinya Matsuzaki",
    "Koichi Yamawaki"
  ],
  "comment": "15 pages, 4 eps figures, latex; typo fixed, two references added, to appear in PRD",
  "journal": "Phys.Rev.D84:036010,2011",
  "doi": "10.1103/PhysRevD.84.036010",
  "categories": [
    "hep-ph",
    "hep-ex",
    "nucl-ex",
    "nucl-th"
  ],
  "abstract": "We formulate the general form of omega-Z-gamma vertex in the framework based on the hidden local symmetry (HLS), which arises from the gauge invariant terms for intrinsic parity-odd (IP-odd) part of the effective action. Those terms are given as the homogeneous part of the general solution (having free parameters) to the Wess-Zumino (WZ) anomaly equation and hence are not determined by the anomaly, in sharp contrast to the Harvey-Hill-Hill (HHH) action where the relevant vertex is claimed to be uniquely determined by the anomaly. We show that, even in the framework that HHH was based on, the omega-Z-gamma vertex is actually not determined by the anomaly but by the homogeneous (anomaly-free) part of the general solution to the WZ anomaly equation having free parameters in the same way as in the HLS formulation: The HHH action is just a particular choice of the free parameters in the general solution. We further show that the omega-Z-gamma vertex related to the neutrino (nu) - nucleon (N) scattering cross section sigma(nu N -> nu N (N')gamma) is determined not by the anomaly but by the anomaly-free part of the general solution having free parameters. Nevertheless we find that the cross section sigma(nu N -> nu N(N')gamma) is related through the Ward-Takahashi identity to Gamma(omega -> pi^0 gamma) which has the same parameter-dependence as that of sigma(nu N -> nu N(N')gamma) and hence the ratio sigma(nu N -> nu N(N')gamma)/Gamma(omega -> pi^0 gamma) is fixed independently of these free parameters. Other set of the free parameters of the general solution can be fixed to make the best fit of the omega -> pi^0 l^+ l^- process, which substantially differs from the HHH action. This gives a prediction of the cross section sigma(nu N -> nu N (N')gamma^*(l^+ l^-)) to be tested at nu-N collision experiments in the future.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-09T04:14:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Ly",
      "11.30.Rd"
    ],
    "keywords": [
      "hidden local symmetry",
      "free parameters",
      "general solution",
      "cross section sigma",
      "omega-z-gamma vertex"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2011,
      "month": "Aug",
      "volume": 84,
      "number": 3,
      "pages": "036010"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 896483,
      "adsabs": "2011PhRvD..84c6010H"
    }
  }
}