{ "id": "hep-ph/0508065", "version": "v4", "published": "2005-08-05T04:41:22.000Z", "updated": "2006-03-10T04:09:16.000Z", "title": "Top Mode Standard Model in Six Dimensions", "authors": [ "Hidenori Fukano", "Koichi Yamawaki" ], "comment": "REVTEX4, 27 pages, 13 figures, References added and the related discussions are included, accepted by Phys. Rev. D", "journal": "Phys.Rev.D73:055016,2006", "doi": "10.1103/PhysRevD.73.055016", "categories": [ "hep-ph" ], "abstract": "We construct a top-mode standard model where the third generation fermions and the SU(2)_L \\times U(1)_Y gauge bosons are put on a 6-dimensional brane(5-brane) with the extra dimensions compactified on the TeV scale(R_5^{-1}=R_6^{-1} \\equiv R^{-1}= 1-10 TeV), while only the gluons live in a compactified 8-dimensional bulk(R_7^{-1}=R_8^{-1} \\equiv \\Lambda \\gg R^{-1}).On the 5-brane, Kaluza-Klein (KK) modes of the bulk gluons give rise to induced four-fermion interactions which, combined with the gauge interactions, are shown to be strong enough to trigger the top quark condensate, based on the dynamics of 6-dimensional gauged Nambu-Jona-Lasinio (NJL) model. Moreover, we can use a freedom of the brane positions to tune the four-fermion coupling close to the critical line of 6-dimensional gauged NJL model, so that the gap equation can ensure the top condensate on the weak scale while keeping other fermions massless. There actually exists a scale (``tMAC scale''), \\Lambda_{\\rm tM} = (7.8-11.0) R^{-1}, where the running gauge couplings combined with the induced four-fermion interactions trigger only the top condensate while no bottom and tau condensates. Furthermore, presence of such explicit four-fermion interactions enables us to formulate straightforwardly the compositeness conditions at \\Lambda=\\Lambda_{\\rm tM}, which, through the renormalization-group analysis, yields a prediction of masses of the top quark and the Higgs boson, m_t = 177 - 187 GeV and m_H = 183 - 207 GeV.", "revisions": [ { "version": "v4", "updated": "2006-03-10T04:09:16.000Z" } ], "analyses": { "subjects": [ "11.15.Ex", "11.25.Mj", "11.10.Kk" ], "keywords": [ "dimensions", "explicit four-fermion interactions enables", "condensate", "top-mode standard model", "third generation fermions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "RevTeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "inspire": 689148 } } }