Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold

TL;DR

This paper completes the search for MSSM vacua in the Z_6-II heterotic orbifold by including models with 3 Wilson lines, identifying nearly 300 models with realistic features from an estimated 10^7 possibilities.

Contribution

It extends previous work by incorporating models with 3 Wilson lines, significantly increasing the search space and identifying MSSM-like models with realistic phenomenology.

Findings

Approximately 300 MSSM-like models found

Models mainly originate from local GUT structures

Gaugino condensation scale correlates with observable sector properties

Abstract

We complete our search for MSSM vacua in the Z_6-II heterotic orbifold by including models with 3 Wilson lines. We estimate the total number of inequivalent models in this orbifold to be 10^7. Out of these, we find almost 300 models with the exact MSSM spectrum, gauge coupling unification and a heavy top quark. Models with these features originate predominantly from local GUTs. The scale of gaugino condensation in the hidden sector is correlated with properties of the observable sector such that soft masses in the TeV range are preferred.