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Unitarity in Higher Dimensions and Gauge Unification

2004/02/21 by R. Sekhar Chivukula, Chivukula, R. Sekhar, Duane A. Dicus +6
Computer Science · Physics and Astronomy · #Distributed and Parallel Computing Systems #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0402222

Talk presented by H.J.H. at SUSY 2003: Supersymmetry in the Desert, held at the University of Arizona,Tucson, AZ, USA, June 5-10, 2003. To appear in the Proceedings

arxiv created 2004/02/21 · arxiv updated 2009/12/01

Abstract

Unitarity of the 4d standard model is ensured by the conventional Higgs mechanism with a fundamental spin-0 Higgs boson, responsible for gauge boson mass-generations. On the contrary Kaluza-Klein (KK) compactification of extra spatial dimensions can geometrically realize the gauge boson mass generation without invoking a fundamental Higgs scalar. We reveal that massive gauge boson scattering in the compactified theories is unitary at low energies, and the unitarity violation is \it delayed to the intrinsic ultraviolet (UV) scale of the higher dimensional gauge theory. We demonstrate that this is a generic consequence of the ``geometric Higgs mechanism'' (GHM), manifested via Kaluza-Klein equivalence theorem (KK-ET). We further show that the presence of many gauge KK states below the UV cutoff scale imposes strong bounds on the highest KK level (NKK). Applying these bounds to higher-dimensional SUSY GUTs implies that only a small number of KK states can be used to accelerate gauge coupling unification, and suggests that the GUT scale in the 5d minimal SUSY SU(5) is above 1014 GeV.

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