Gravitational relaxation of electroweak hierarchy problem

TL;DR

This paper explores how modified gravity theories, through conformal transformations, can naturally address the electroweak hierarchy problem by dynamically adjusting fundamental parameters like the Higgs mass.

Contribution

It demonstrates that conformal transformations in modified gravity theories can effectively relax the electroweak hierarchy problem, providing a novel gravitational approach.

Findings

Modified gravity can relax the hierarchy problem.

Conformal transformations connect different gravitational theories.

Dilatonic scalar fields can dynamically realize the electroweak scale.

Abstract

In the present paper, we discuss gravitational relaxation models for the electroweak hierarchy problem. We show that modified gravity can naturally relax the electroweak hierarchy problem where conformal transformation provides a crucial rule about what modified gravity theories are favored to relax the electroweak hierarchy. The conformal transformation connects different gravitational theories and rescaling the metric changes the dimensional parameters like the Higgs mass or the cosmological constant in different frames drastically. When the electroweak scale is naturally realized by dynamical and running behavior of dilatonic scalar field or scaling parameter, the modified gravity theories can relax the electroweak hierarchy problem. We discuss the theoretical and phenomenological validity of the gravitational relaxation models.