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Spontaneous dimensional reduction (SDR) is a striking phenomenon predicted bya number of quantum gravity approaches which all indicate that the spacetimedimensions get reduced at high energies. In this work, we formulate aneffective theory of electroweak interactions based upon the standard model,incorporating the spontaneous reduction of space-dimensions at TeV scale. Theelectroweak gauge symmetry is nonlinearly realized with or without a Higgsboson. We demonstrate that the SDR ensures good high energy behavior andpredicts 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 alight Higgs boson can have induced anomalous gauge couplings from the TeV-scaleSDR. We find that the corresponding WW scattering cross sections become unitaryat TeV scale, but exhibit different behaviors from that of the 4d standardmodel. These can be discriminated by the WW scattering experiments at the LHC.

Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC