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

TL;DR

This paper proposes a model where spontaneous dimensional reduction at TeV energies ensures unitarity in weak boson scattering, offering a novel approach to hierarchy problem and testable predictions at the LHC.

Contribution

It introduces an effective electroweak theory incorporating spontaneous dimensional reduction, providing a new mechanism for unitarity and hierarchy problem resolution.

Findings

SDR ensures good high energy behavior of weak boson scattering.

Predicted WW scattering cross sections differ from the standard model.

Potential to discriminate models via LHC WW scattering experiments.

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.