2005/08/31 by Hidenori S. Fukano, Hidenori Fukano, Koichi Yamawaki
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.73.055016
published as Phys.Rev.D73:055016,2006 · REVTEX4, 27 pages, 13 figures, References added and the related discussions are included, accepted by Phys. Rev. D
arxiv created 2006/03/10 · openalex publication_date 2006/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a version of the top mode standard model where the third generation fermions and the SU(2)L\ifmmode×\else\texttimes\fiU(1)Y gauge bosons are put on a 6-dimensional brane (5-brane) with the extra dimensions compactified on the TeV scale (R5^\ensuremath-1=R6^\ensuremath-1\ensuremath≡R^\ensuremath-1=1\mathrm\text\ensuremath-10 TeV), while only the gluons live in a compactified 8-dimensional bulk (R7^\ensuremath-1=R8^\ensuremath-1\ensuremath≡\ensuremathΛ\ensuremath≫R^\ensuremath-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''), \ensuremathΛtM=(7.8\mathrm\text\ensuremath-11.0)R^\ensuremath-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 \ensuremathΛ=\ensuremathΛtM, which, through the renormalization-group analysis, yields a prediction of masses of the top quark and the Higgs boson, mt=177\mathrm\text\ensuremath-187 GeV and mH=183\mathrm\text\ensuremath-207 GeV.