Effective Mu-Term in Superstring Theory

TL;DR

This paper analyzes the origin and calculation of the mu-term in heterotic superstring compactifications, considering tree-level, one-loop, and gaugino condensation effects, providing explicit formulas for orbifold models.

Contribution

It offers a model-independent analysis of the mu-term in superstring theory, including explicit expressions for orbifold compactifications and effects of gaugino condensation.

Findings

Explicit expressions for the mu-term at tree level and one-loop

Analysis of gaugino condensation contributions

Model-independent framework for mu-term calculation

Abstract

In four-dimensional compactifications of the heterotic superstring theory the K\"ahler potential has a form which generically induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies. This ``$\mu$-term'' is analyzed in a model-independent way at the tree level and in the one-loop approximation, and explicit expressions are obtained for orbifold compactifications. Additional contributions which arise in the case of supersymmetry breaking induced by gaugino condensation are also discussed.