# Dark Energy Density in SUGRA models and degenerate vacua

## TL;DR

This paper explores how degenerate vacua in N=1 supergravity models could explain the smallness of the cosmological constant and influence Higgs physics at the Planck scale.

## Contribution

It introduces the concept of degenerate vacua in supergravity models and discusses their implications for the cosmological constant and Higgs coupling.

## Key findings

- Degenerate vacua may account for the tiny cosmological constant.
- Presence of degenerate vacua could lead to small Higgs quartic coupling at the Planck scale.
- Degeneracy may influence phenomenological aspects of supersymmetry breaking.

## Abstract

In N=1 supergravity the tree-level scalar potential of the hidden sector may have a minimum with broken local supersymmetry (SUSY) as well as a supersymmetric Minkowski vacuum. These vacua can be degenerate, allowing for a consistent implementation of the multiple point principle. The first minimum where SUSY is broken can be identified with the physical phase in which we live. In the second supersymmetric phase, in flat Minkowski space, SUSY may be broken dynamically either in the observable or in the hidden sectors inducing a tiny vacuum energy density. We argue that the exact degeneracy of these phases may shed light on the smallness of the cosmological constant. Other possible phenomenological implications are also discussed. In particular, we point out that the presence of such degenerate vacua may lead to small values of the quartic Higgs coupling and its beta function at the Planck scale in the physical phase.