Vacuum statistics and parameter tuning for F-term supersymmetry breaking

TL;DR

This paper uses an effective field theory approach to analyze the distribution and rarity of SUSY breaking vacua in general models, highlighting the role of parameter tuning and R-symmetries.

Contribution

It provides a model-independent statistical analysis of SUSY vacua, emphasizing the importance of parameter tuning and R-symmetries in metastable SUSY breaking.

Findings

SUSY breaking vacua are rare in global SUSY models with canonical Kähler potential.

Vacua distribution peaks near the SUSY breaking scale cutoff.

Parameter tuning and R-symmetries are crucial for metastable SUSY breaking.

Abstract

We carry out a model-independent EFT method study on the vacuum statistics of general F-term SUSY breaking models. Assuming a smooth distribution of Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with a canonical K\"ahler potential, and have a peaked distribution near the cut-off of the SUSY breaking scale in both global SUSY and SUGRA models with a general K\"ahler potential. After including different mass scales in the Lagrangian, we compare the total number of SUSY and non-SUSY vacua and estimate quantitatively the rareness of SUSY breaking. The EFT method provides a general view to the amount of parameter tuning needed for a metastable SUSY breaking vacuum. The tuning also indicates the importance of R-symmetries in SUSY breaking even for metastable SUSY breaking.