Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC
Abstract
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 formulate an effective theory of electroweak interactions based upon the standard model, incorporating the spontaneous reduction of space-dimensions at TeV scale. The electroweak gauge symmetry is nonlinearly realized with or without a Higgs boson. We demonstrate that the SDR ensures good high energy behavior and predicts unitary weak boson scattering. For a light Higgs boson of mass 125GeV, the TeV-scale SDR gives a natural solution to the hierarchy problem. Such a light Higgs boson can have induced anomalous gauge couplings from the TeV-scale SDR. We find that the corresponding WW scattering cross sections become unitary at TeV scale, but exhibit different behaviors from that of the 4d standard model. These can be discriminated by the WW scattering experiments at the LHC.
Keywords
Cite
@article{arxiv.1112.1028,
title = {Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC},
author = {Hong-Jian He and Zhong-Zhi Xianyu},
journal= {arXiv preprint arXiv:1112.1028},
year = {2013}
}
Comments
38pp, Eur.Phys.J.(in Press); extended discussions for testing non-SM Higgs boson(125GeV) via WW scattering; minor clarifications added; references added; a concise companion is given in the short PLB letter arXiv:1301.4570