{
  "id": "hep-ph/0407102",
  "version": "v1",
  "published": "2004-07-08T16:21:40.000Z",
  "updated": "2004-07-08T16:21:40.000Z",
  "title": "The Fundamental-Weak Scale Hierarchy in the Standard Model",
  "authors": [
    "C. D. Froggatt",
    "L. V. Laperashvili",
    "H. B. Nielsen"
  ],
  "comment": "30 pages, 7 figures; to be published in Phys. Atom. Nucl",
  "journal": "Phys.Atom.Nucl.69:67-80,2006",
  "doi": "10.1134/S1063778806010108",
  "categories": [
    "hep-ph"
  ],
  "abstract": "The multiple point principle, according to which several vacuum states with the same energy density exist, is put forward as a fine-tuning mechanism predicting the ratio between the fundamental and electroweak scales in the Standard Model (SM). It is shown that this ratio is exponentially huge: $\\sim e^{40}$. Using renormalisation group equations for the SM, we obtain the effective potential in the 2-loop approximation and investigate the existence of its postulated second minimum at the fundamental scale. The investigation of the evolution of the top quark Yukawa coupling constant in the 2-loop approximation shows that, with initial values of the top Yukawa coupling in the interval $h(M_t)=0.95\\pm 0.03$ (here $M_t$ is the top quark pole mass), a second minimum of the SM effective potential can exist in the region $\\phi_{min2}\\approx 10^{16}-10^{22}$ GeV. A prediction is made of the existence of a new bound state of 6 top quarks and 6 anti-top quarks, formed due to Higgs boson exchanges between pairs of quarks/anti-quarks. This bound state is supposed to condense in a new phase of the SM vacuum. This gives rise to the possibility of having a phase transition between vacua with and without such a condensate. The existence of three vacuum states (new, electroweak and fundamental) solves the hierarchy problem in the SM.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-08T16:21:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.15.-y"
    ],
    "keywords": [
      "fundamental-weak scale hierarchy",
      "standard model",
      "vacuum states",
      "second minimum",
      "bound state"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 654045
    }
  }
}