Spontaneous Spacetime Reduction and Unitary Weak Boson Scattering at the LHC

TL;DR

This paper proposes a model incorporating spontaneous dimensional reduction at TeV scales, which maintains unitarity in weak boson scattering and offers a new approach to the hierarchy problem, with testable predictions at the LHC.

Contribution

It introduces an effective electroweak theory with SDR that preserves unitarity and addresses the hierarchy problem, differing from the standard model.

Findings

Predicts unitary longitudinal weak boson scattering.

Provides a natural solution to the hierarchy problem.

Can be distinguished from the standard model via WW scattering experiments.

Abstract

Theories of quantum gravity predict spacetime dimensions to become reduced at high energies, a striking phenomenon known as spontaneous dimensional reduction (SDR). We construct an effective electroweak theory based on the standard model (SM) and incorporate the TeV-scale SDR, which exhibits good high energy behavior and ensures the unitarity of weak gauge boson scattering. This also provides a natural solution to the hierarchy problem in the presence of scalar Higgs boson. We demonstrate that this model predicts unitary longitudinal weak boson scattering, and can be discriminated from the conventional 4d SM by the WW scattering experiments at the CERN LHC.