# Gravity-Mediated SUSY Breaking, R Symmetry and Hyperbolic Kaehler Geometry

## TL;DR

This paper introduces a gravity-mediated SUSY breaking model with R symmetry and hyperbolic Kaehler geometry, achieving a natural vacuum energy, soft SUSY-breaking parameters, and addressing the mu problem.

## Contribution

It presents a novel SUSY breaking framework incorporating R symmetry and hyperbolic Kaehler geometry, with solutions to the mu problem and R axion mass issues.

## Key findings

- Vacuum energy vanishes without fine tuning
- Soft SUSY-breaking parameters are generated at the gravitino mass scale
- R axion mass can be increased by explicit R symmetry breaking

## Abstract

A novel realization of the gravity-mediated SUSY breaking is presented taking into account a continuous global R symmetry. Consistently with it, we employ a linear superpotential for the hidden sector superfield and a Kaehler potential parameterizing the SU(1,1)/U(1) Kaehler manifold with constant curvature -1/2. The classical vacuum energy vanishes without unnatural fine tuning and non-vanishing soft SUSY-breaking parameters, of the order of the gravitino mass, arise. A solution to the mu problem of MSSM may be also achieved by conveniently applying the Giudice-Masiero mechanism. The potentially troublesome R axion may acquire acceptably large mass by explicitly breaking the R symmetry in the Kaehler potential through a quartic term which does not affect, though, the achievements above.