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

MSSM soft terms from supergravity with gauged R-symmetry in de Sitter vacuum