Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino

TL;DR

This paper analyzes the joint distribution of the cosmological constant and gravitino mass in string theory models, revealing a tendency towards lower supersymmetry breaking scales in realistic flux vacua.

Contribution

It provides the first detailed joint distribution of the cosmological constant and SUSY breaking scale in KKLT and LVS models with moduli stabilization and nilpotent goldstino formalism.

Findings

Distributions favor lower SUSY breaking scales.

Incorporates moduli stabilization in flux vacua.

Analyzes both KKLT and LVS frameworks.

Abstract

We obtain the joint distribution of the gravitino mass and the cosmological constant in KKLT and LVS models with anti-D3 brane uplifting described via the nilpotent goldstino formalism. Moduli stabilisation (of both complex structure and Kaehler moduli) is incorporated so that we sample only over points corresponding to vacua. Our key inputs are the distributions of the flux superpotential, the string coupling and the hierarchies of warped throats. In the limit of zero cosmological constant, we find that both in KKLT and LVS the distributions are tilted favourably towards lower scales of supersymmetry breaking.