On the radion mediation of the Supersymmetry breaking in N=2, D=5 Supergravity Orbifolds

TL;DR

This paper investigates how supersymmetry breaking is mediated via the radion field in five-dimensional supergravity orbifolds, showing that it induces positive scalar masses and trilinear couplings on the visible brane.

Contribution

It provides a detailed analysis of radion-mediated supersymmetry breaking effects in N=2, D=5 supergravity orbifolds, including explicit calculations of scalar masses and trilinear couplings.

Findings

Radion multiplet spinor induces positive scalar masses.

Scalar masses are proportional to the gravitino mass squared divided by the Planck scale and the size of the extra dimension.

Non-zero trilinear scalar couplings are generated, proportional to the scalar mass squared and gravitino mass.

Abstract

We discuss the on-shell N=1 Supersymmetric coupling of brane chiral multiplets in the context of N=2, D=5 Supergravity compactified on $S_1/Z_2$ orbifolds. Assuming a constant superpotential on the hidden brane we study the transmission of the supersymmetry breaking to the visible brane. We find that to lowest order in the five dimensional Newton's constant $k_5^2$ and gravitino mass $m_{3/2}^2$ the spinor field of the radion multiplet is responsible of inducing positive one-loop squared masses $m_{\phi}^2 \sim {m_{3/2}^2} / (M_{Planck}^2 R^2)$ to the scalar fields which are localized on the visible brane with $R$ the length scale of the fifth dimension. Considering a cubic superpotential on the visible brane we also find that non-vanishing soft trilinear scalar couplings $A$ are induced given by $A=3m_{\phi}^2/m_{3/2}$.