Mirage Models Confront the LHC: I. Kahler-Stabilized Heterotic String Theory

TL;DR

This paper investigates heterotic string-inspired supergravity models stabilized by Kahler corrections in light of LHC data, finding most of the parameter space constrained or testable with current and upcoming collider and dark matter experiments.

Contribution

It provides the first detailed confrontation of Kahler-stabilized heterotic string models with LHC data, identifying the remaining viable parameter space and its experimental signatures.

Findings

Most of the model's parameter space is disfavored by LHC results.

Remaining parameter space can be tested with existing data and future 13 TeV runs.

The model predicts specific relations among superpartner masses and dark matter relic density.

Abstract

We begin the study of a class of string-motivated effective supergravity theories in light of current data from the CERN Large Hadron Collider (LHC). The case of heterotic string theory, in which the dilaton is stabilized via non-perturbative corrections to the Kahler metric, will be considered first. This model is highly constrained and therefore predictive. We find that much of the reasonable parameter space afforded to the model -- representing the strong dynamics of a presumed gaugino condensation in the hidden sector -- is now observationally disfavored by the LHC results. Most of the theoretically-motivated parameter space that remains can be probed with data that has already been collected, and most of the remainder will be definitively explored within the first year of operation at center of mass energy of 13 TeV. Expected signatures for a number of benchmark points are discussed. We find that the surviving space of the model makes a precise prediction as to the relation of many superpartner masses, as well as the manner in which the correct dark matter relic density is obtained. Implications for current and future dark matter search experiments are discussed.