The Hierarchy Problem and New Warped Extra Dimension

TL;DR

This paper introduces a novel warped extra dimension model to address the hierarchy problem, differing from Randall-Sundrum by setting the fundamental scale at TeV and predicting unique experimental signatures.

Contribution

It proposes a new mechanism with warped extra dimensions that generates the Planck scale from TeV-scale physics, with distinct experimental implications and potential generalizations.

Findings

A tower of spin-2 excitations with mass gap 10^{-4} eV predicted

The scenario's experimental signatures resemble large extra dimensions with non-integer N

The model allows easier compliance with experimental constraints

Abstract

In this paper, we propose a new mechanism with warped extra dimension to solve the hierarchy problem, which is parallel to the Randall-Sundrum (RS) brane scenario. Different from the RS scenario, the fundamental scale is TeV scale and the four-dimensional Planck scale is generated from the exponential warped extra dimension at size of a few TeV$^{-1}$. The experimental consequences of this scenario are very different from that of the RS scenario. In the explicit realization in the nonlocal gravity theory, there is a tower of spin-2 excitations with mass gap $10^{-4}\text{eV}$ and they are coupled with the gravitational scale to the standard model particles. We further discuss the possible generalizations in other modified gravity theories. The experimental consequences are similar to $(4+N)$-dimensional large extra dimension but $N$ can be a non-integer, which satisfies the experimental constraints more easily than the integer large extra dimension model.