Supersymmetry, Naturalness and the Landscape

TL;DR

By analyzing the statistics of flux vacua in string theory, the paper argues that the landscape can yield predictive and falsifiable insights, especially regarding whether low-energy supersymmetry is realized. It reviews the KKLT construction and the distribution of the superpotential $W_o$, then outlines three SUSY-breaking branches and the implications for the SUSY-breaking scale, including a log-flat distribution of $m_{3/2}$. It discusses how anthropic priors for selected constants, notably the cosmological constant $ abla$, combined with landscape statistics, can point toward low-energy SUSY and guide phenomenology. The work provides a framework to connect high-energy string dynamics to near-term experimental signatures, offering falsifiable criteria and guiding questions to settle the predictions.

Abstract

We argue that the study of the statistics of the landscape of string vacua provides the first potentially predictive -- and also falsifiable -- framework for string theory. The question of whether the theory does or does not predict low energy supersymmetry breaking may well be the most accessible to analysis. We argue that low energy -- possibly very low energy -- supersymmetry breaking is likely to emerge, and enumerate questions which must be answered in order to make a definitive prediction.