Large hierarchy from extra dimensions

TL;DR

This paper proposes that the gauge hierarchy problem can be naturally addressed in higher-dimensional theories with large extra dimensions, where radiative corrections lead to a stable electroweak scale without fine tuning.

Contribution

It introduces a mechanism in higher-dimensional models where radiative corrections generate the electroweak scale from a high-energy Planck-scale Higgs mass.

Findings

Hierarchy explained without fine tuning

Radiative corrections lead to an infrared stable fixed point

Large extra dimensions facilitate the scale separation

Abstract

We argue that the familiar gauge hierarchy between the fundamental Planck scale M_{Pl} and the electroweak scale M_{W}, can be naturally explained in higher dimensional theories with relatively large radii (R_c > 1/M_{Pl}) extra dimensions. In particular, we show that it is possible that the electroweak Higgs mass at high energies is of the order of M_{Pl}, but radiative corrections drive it to an infrared stable fixed-point $\sim M_{W}$ at low energies thus inducing a large hierarchy without any fine tuning of parameters.