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Top mode standard model in six dimensions

Hidenori Fukano* and Koichi Yamawaki†

  • Department of Physics, Nagoya University, Nagoya 464-8602, Japan

  • *Email address: fukano@eken.phys.nagoya-u.ac.jp
  • †Email address: yamawaki@eken.phys.nagoya-u.ac.jp
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Phys. Rev. D 73, 055016 – Published 28 March, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.055016

Abstract

We construct a version of the top mode standard model where the third generation fermions and the SU(2)L×U(1)Y gauge bosons are put on a 6-dimensional brane (5-brane) with the extra dimensions compactified on the TeV scale (R5−1=R6−1≡R−1=1−10  TeV), while only the gluons live in a compactified 8-dimensional bulk (R7−1=R8−1≡Λ≫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”), ΛtM=(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 Λ=ΛtM, which, through the renormalization-group analysis, yields a prediction of masses of the top quark and the Higgs boson, mt=177−187  GeV and mH=183−207  GeV.

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Phys. Rev. D 73, 055016– Published 28 March, 2006
  • Received 7 August 2005

© 2006 American Physical Society

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