Supergravity loop contributions to brane world supersymmetry breaking

TL;DR

This paper calculates the effects of supergravity loops on scalar masses in a 5D brane-world model, revealing that these contributions are UV finite and lead to negative mass-squared terms, impacting supersymmetry breaking.

Contribution

It introduces a method using N=1 supergraphs to compute supergravity loop effects in 5D models, providing explicit results on scalar mass contributions.

Findings

Supergravity loop contributions are UV finite due to 5D locality.

The computed scalar mass-squared terms are negative.

The calculation uses a formulation of 5D supergravity in terms of N=1 superfields.

Abstract

We compute the supergravity loop contributions to the visible sector scalar masses in the simplest 5D `brane-world' model. Supersymmetry is assumed to be broken away from the visible brane and the contributions are UV finite due to 5D locality. We perform the calculation with N = 1 supergraphs, using a formulation of 5D supergravity in terms of N = 1 superfields. We compute contributions to the 4D effective action that determine the visible scalar masses, and we find that the mass-squared terms are negative.