Hong-Jian He, Zhong-Zhi Xianyu
Spontaneous dimensional reduction (SDR) is a striking phenomenon predicted by a number of quantum gravity approaches which all indicate that the spacetime dimensions get reduced at high energies. In this work, we construct an effective theory of electroweak interactions based on the minimal Higgsless standard model with nonlinearly realized electroweak gauge symmetry and incorporating the spontaneous reduction of space-dimensions. Such a Higgsless standard model is manifestly renormalizable at high energies. In spite of no Higgs-boson-like excitations in our model, we reveal that the scattering amplitude of longitudinal weak bosons remains unitary at high energies. We further demonstrate that this can be discriminated from the conventional standard model (SM) and its extensions by the WW scattering experiments at the CERN LHC. Finally, we study an extension for the Higgsful SM with TeV-scale SDR, as a natural solution to the hierarchy problem. It contains either a light or heavy Higgs boson with anomalous gauge couplings. We show that the corresponding WW scattering cross sections become unitary at TeV scale under the SDR, but exhibit different behaviors.
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http://arxiv.org/abs/1112.1028
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