Unitary Higgsless and Higgsful Standard Models from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC

Details Unitary Higgsless and Higgsful Standard Models from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC Unitary Higgsless and Higgsful Standard Models from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC

2011-12-05

arxiv.org/abs/1112.1028v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

31pp, with refinements: added a curve for SM Higgs mass M_H = 125GeV in Figs.4-5; corrected typos, added discussions and more

Scientific paper

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 also study an extension for the Higgsful SM with SDR, which 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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