Top mode standard model in six dimensions
- Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)
We construct a version of the top mode standard model where the third generation fermions and the SU(2){sub L}xU(1){sub Y} gauge bosons are put on a 6-dimensional brane (5-brane) with the extra dimensions compactified on the TeV scale (R{sub 5}{sup -1}=R{sub 6}{sup -1}{identical_to}R{sup -1}=1-10 TeV), while only the gluons live in a compactified 8-dimensional bulk (R{sub 7}{sup -1}=R{sub 8}{sup -1}{identical_to}{lambda}>>R{sup -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}{sub tM}=(7.8-11.0)R{sup -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}{sub tM}, which, through the renormalization-group analysis, yields a prediction of masses of the top quark and the Higgs boson, m{sub t}=177-187 GeV and m{sub H}=183-207 GeV.
- OSTI ID:
- 20776903
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 5; Other Information: DOI: 10.1103/PhysRevD.73.055016; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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