Softness of Supersymmetry Breaking on the Orbifold $T^2/Z_2$

TL;DR

This paper investigates how supersymmetry breaking mechanisms on a 6-dimensional orbifold affect scalar masses, revealing equivalences between different breaking methods and finite quantum corrections.

Contribution

It demonstrates the equivalence between Scherk-Schwarz and localized supersymmetry breaking in 6d orbifolds and calculates finite one-loop scalar mass corrections.

Findings

Scherk-Schwarz breaking is equivalent to localized mass terms in 6d.

Finite one-loop mass corrections arise for brane scalars due to bulk gauge KK modes.

The results clarify the nature of supersymmetry breaking effects in higher-dimensional models.

Abstract

We consider supersymmetry breaking due to a Scherk-Schwarz twist or localized mass terms in 6d ${\cal N}=1$ supersymmetric gauge theory compactified on the orbifold $T^2/Z_2$. We show that the Scherk-Schwarz breaking in 6d is equivalent to the localized breaking with mass terms along the lines in extra dimensions. In the presence of the considered supersymmetry breaking, we find that there arises a finite one-loop mass correction to a brane scalar due to the KK modes of bulk gauge fields.