Extra dimensions and self-organizing criticality

TL;DR

This paper proposes that large extra dimensions can naturally explain the gauge hierarchy problem by driving the Higgs field to a stable fixed point, leading to self-organizing criticality without fine tuning.

Contribution

It introduces a mechanism where extra dimensions influence Higgs evolution, providing a novel explanation for the hierarchy problem.

Findings

Large extra dimensions alter Higgs VEV evolution.

Higgs VEV is driven to an infrared fixed point near the W boson mass.

The model explains gauge hierarchy without fine tuning.

Abstract

We discuss a possible explanation of the hierarchy problem within the theories with spacetime dimensions higher than four. We show that the presence of relatively (not hierarchically) large extra dimensions can significantly alter the evolution of the Higgs field VEV, driving it to an infrared stable fixed point $\sim M_{W}$. Such a behaviour results in self-organizing criticality and naturally explains gauge hierarchy without any fine tuning of the parameters.