Cosmological Constant as a Manifestation of the Hierarchy

TL;DR

This paper explores how the hierarchy problem and the smallness of the cosmological constant can be addressed within a supersymmetric Randall-Sundrum framework, linking dark energy to fundamental scale differences.

Contribution

It proposes a minimal SUSY extension of the Randall-Sundrum model that naturally explains the observed dark energy scale through Casimir energy.

Findings

Casimir energy matches observed dark energy density

SUSY-breaking on the TeV brane influences bulk physics

Framework links hierarchy problem to cosmological constant

Abstract

There has been the suggestion that the cosmological constant as implied by the dark energy is related to the well-known hierarchy between the Planck scale, $M_{\rm Pl}$, and the Standard Model scale, $M_{\rm SM}$. Here we further propose that the same framework that addresses this hierarchy problem must also address the smallness problem of the cosmological constant. Specifically, we investigate the minimal supersymmetric (SUSY) extension of the Randall-Sundrum model where SUSY-breaking is induced on the TeV brane and transmitted into the bulk. We show that the Casimir energy density of the system indeed conforms with the observed dark energy scale.