Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-02-27
Phys.Lett.B562:109-117,2003
Physics
High Energy Physics
High Energy Physics - Phenomenology
Version in Phys. Lett. B (minor typos fixed, refs added)
Scientific paper
10.1016/S0370-2693(03)00553-7
We study the unitarity of the standard model (SM) in higher dimensions. We show that the essential features of SM unitarity remain after compactification, and place bounds on the highest Kaluza-Klein (KK) level N_KK and the Higgs mass m_H in the effective four-dimensional (4d) low-energy theory. We demonstrate these general observations by explicitly analyzing the effective 4d KK theory of a compactified 5d SM on S^1/Z_2. The nontrivial energy cancellations in the scattering of longitudinal KK gluons or KK weak bosons, a consequence of the geometric Higgs mechanism, are verified. In the case of the electroweak gauge bosons, the longitudinal KK states also include a small mixture from the KK Higgs excitations. With the analyses before and after compactification, we derive the strongest bounds on N_KK from gauge KK scattering. 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. As a consequence, we show that the GUT scale in the 5d minimal SUSY GUT cannot be lower than about 10^{14} GeV.
Chivukula Sekhar R.
Dicus Duane A.
He Hong-Jian
Nandi Satyanarayan
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