Gaugino mass in the Heterotic string with Scherk-Schwarz compactification

TL;DR

This paper demonstrates that in heterotic string models with Scherk-Schwarz compactification, the observable sector gaugino mass is non-zero at tree level and is roughly proportional to the gravitino mass, under certain assumptions.

Contribution

It provides a calculation showing the non-zero tree-level gaugino mass in heterotic string models with Scherk-Schwarz compactification, linking it to the gravitino mass.

Findings

Gaugino mass is non-zero at tree level in the model.

Gaugino mass is of the order of the gravitino mass.

Results depend on condensate and Scherk-Schwarz parameters.

Abstract

The generic observable sector gaugino mass in the weakly-coupled heterotic string compactified to four dimensions by the Scherk-Schwarz scheme (together with hidden sector gaugino condensation inducing the super-Higgs effect with a vanishing cosmological constant) is shown to be non-zero at tree level, being of the order of the gravitino mass, modulo reasonable assumptions regarding the magnitude of the condensate and the Scherk-Schwarz mass parameters