# The Cosmological Constant and the Electroweak Scale

## TL;DR

This paper explores how string theory compactifications can naturally produce a small cosmological constant and an electroweak scale around 100 GeV, linking fundamental theory with observed physical scales.

## Contribution

It demonstrates a mechanism within Type IIB string theory that naturally links the small cosmological constant to the electroweak scale through flux compactifications.

## Key findings

- A statistical preference for a small cosmological constant in string landscape models.
- The emergence of a 100 GeV scale consistent with the electroweak scale.
- A proposed explanation for the coincidence of these fundamental scales.

## Abstract

String theory has no parameter except the string scale, so a dynamically compactified solution to 4 dimensional spacetime should determine both the Planck scale and the cosmological constant $\Lambda$. In the racetrack K\"ahler uplift flux compactification model in Type IIB theory, where the string theory landscape is generated by scanning over discrete values of all the flux parameters, a statistical preference for an exponentially small $\Lambda$ is found to be natural (arXiv:1305.0753). Within this framework and matching the median $\Lambda$ value to the observed $\Lambda$, a mass scale ${\bf m}\simeq 100$ GeV naturally appears. We explain how the electroweak scale can be identified with this mass scale.