{
  "id": "hep-ph/9406225",
  "version": "v1",
  "published": "1994-06-03T19:43:13.000Z",
  "updated": "1994-06-03T19:43:13.000Z",
  "title": "An Upper Bound on the Higgs Boson Mass from Yukawa Unification and a Comment on Vacuum Stability Constraints",
  "authors": [
    "Nir Polonsky"
  ],
  "comment": "talk presented at SUSY-94, 7 pages, LaTex, uuencoded postscript file (including 5 figures) is attached. Also available via anonymous ftp from dept.physics.upenn.edu (dir pub). Report No. UPR-0595T",
  "categories": [
    "hep-ph"
  ],
  "abstract": "Only small regions in the $m_{t} - \\tan\\beta$ plane are allowed when considering simultaneously (assuming the MSSM) coupling constant unification and (minimal) GUT relations among Yukawa couplings (i.e., $h_{b} = h_{\\tau}$ at the unification point). In particular, if $m_{t} \\simle 175$ GeV we find that only $1 \\simle \\tan\\beta \\simle 1.5$ or $\\tan\\beta \\simgr 40 \\pm 10$ is allowed. The former implies that the light Higgs boson is $\\simle 110$ GeV and, in principle, visible to LEPII. The prediction for the Higgs boson mass in the $\\tan\\beta \\approx 1$ scenario is discussed and uncertainties related to ($i$) vacuum stability constraints, ($ii$) different methods for calculating the Higgs boson mass, ($iii$) two-loop calculations and ($iv$) GUT corrections are briefly reviewed. It is shown that large left-right mixing between the $t$-scalars can significantly enhance the Higgs boson mass. That and an ambiguity in the size of the two-loop correction lead to our conservative upper bound of 110 GeV. Vacuum stability considerations constrain the $t$-scalar mixing and slightly diminish the upper bound (depending on the value of $m_{t}$). Improved two-loop calculations are also expected to strengthen the bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-06-03T19:43:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higgs boson mass",
      "vacuum stability constraints",
      "upper bound",
      "yukawa unification",
      "vacuum stability considerations constrain"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 373880,
      "adsabs": "1994hep.ph....6225P"
    }
  }
}