Environmental selection of the cosmological constant and electroweak scales

TL;DR

This paper proposes a model using multiple four-form fields coupled with the Higgs boson to address both the cosmological constant and electroweak hierarchy problems simultaneously, avoiding fine tuning.

Contribution

It extends selfish/Goldilocks Higgs models by incorporating multiple four-form fields, providing a unified solution to two fundamental hierarchy problems without manual scale insertion.

Findings

The model can naturally produce the observed Higgs mass and cosmological constant.

Bounds on brane charges depend on four-form coupling strength and align with known solutions.

The approach avoids fine tuning and introduces no new physical scales by hand.

Abstract

We investigate whether selfish/Goldilocks Higgs models can be extended to accomodate vacua with both the right Higgs mass and cosmological constant. Through the introduction of multiple four-form fields coupled with the Higgs scalar boson we find that both the cosmological constant and the electroweak hierarchy problems can be addressed simultaneously, without inserting the relevant physical scales by hand and avoiding fine tuning. The resulting bounds on the brane charges, the only dimensionful free parameter of the theory, depend on the strength of the four-form scalar coupling and can be of the same order of magnitude as those necessary for a solution to the cosmological constant problem alone via the Bousso-Polchinski mechanism.