{
  "id": "1801.09462",
  "version": "v1",
  "published": "2018-01-29T11:56:39.000Z",
  "updated": "2018-01-29T11:56:39.000Z",
  "title": "Masses and sigma terms of doubly charmed baryons up to $\\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory",
  "authors": [
    "De-Liang Yao"
  ],
  "comment": "12 pages, 6 figures and 3 tables",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We calculate the masses and sigma terms of the doubly charmed baryons up to next-to-next-to-next-to-leading order (i.e., $\\mathcal{O}(p^4)$) in a covariant baryon chiral perturbation theory by using the extended-on-mass-shell renormalization scheme. Their expressions both in infinite and finite volumes are provided for chiral extrapolation in lattice QCD. As a first application, our chiral results of the masses are confronted with the existing lattice QCD data in the presence of finite volume corrections. Up to $\\mathcal{O}(p^3)$ all relevant low energy constants can be well determined. As a consequence, we obtain the physical values for the masses of $\\Xi_{cc}$ and $\\Omega_{cc}$ baryons by extrapolating to the physical limit. Our determination of the $\\Xi_{cc}$ mass is consistent with the recent experimental value by LHCb collaboration, however, larger than the one by SELEX collaboration. In addition, we predict the pion-baryon and strangeness-baryon sigma terms, as well as the mass splitting between the $\\Xi_{cc}$ and $\\Omega_{cc}$ states. Their quark mass dependences are also discussed. The numerical procedure can be applied to the chiral results of $\\mathcal{O}(p^4)$ order, where more unknown constants are involved, when more data are available for unphysical pion masses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-29T11:56:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lorentz-invariant baryon chiral perturbation theory",
      "manifestly lorentz-invariant baryon chiral perturbation",
      "doubly charmed baryons",
      "sigma terms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}