  We work out the phenomenology of a model of supersymmetry breaking in the
presence of a tiny (tunable) positive cosmological constant, proposed by the
authors in arXiv:1403.1534. It utilises a single chiral multiplet with a gauged
shift symmetry, that can be identified with the string dilaton (or an
appropriate compactification modulus). The model is coupled to the MSSM,
leading to calculable soft supersymmetry breaking masses and a distinct low
energy phenomenology that allows to differentiate it from other models of
supersymmetry breaking and mediation mechanisms.
