Low Energy Supersymmetry from the Heterotic Landscape

TL;DR

It is found that requiring realistic features does affect the hidden sector such that hidden sector gauge group factors SU(4) and SO(8) are favored, which implies low energy supersymmetry breaking in the context of gaugino condensation.

Abstract

We study possible correlations between properties of the observable and hidden sectors in heterotic string theory. Specifically, we analyze the case of the Z6-II orbifold compactification which produces a significant number of models with the spectrum of the supersymmetric standard model. We find that requiring realistic features does affect the hidden sector such that hidden sector gauge group factors SU(4) and SO(8) are favoured. In the context of gaugino condensation, this implies low energy supersymmetry breaking.

Figures (3)

• Figure 1: Number of models vs. the size of largest gauge group in the hidden sector. $N$ labels $\mathrm{SU}(N)$, $\mathrm{SO}(2N)$, $\mathrm{E}_{N}$ groups. The background corresponds to Step 2, while the foreground corresponds to Step 6.
• Figure 2: As in Fig. \ref{['fig:histogram1']} but with models of Step 8 in the foreground.
• Figure 3: Number of models vs. scale of gaugino condensation.