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Particle physics models with Peccei-Quinn (PQ) symmetry breaking as aconsequence of supersymmetry (SUSY) breaking are attractive in that they solvethe strong CP problem with a SUSY DFSZ-like axion, link the SUSY breaking andPQ breaking intermediate mass scales and can resolve the SUSY mu problem with anaturalness-required weak scale mu term whilst soft SUSY breaking terms inhabitthe multi-TeV regime as required by LHC sparticle mass limits and the Higgsmass measurement. On the negative ledger, models based on global symmetriessuffer a generic gravity spoliation problem. We present a model based on thediscrete R-symmetry Z_{24}^R-- which may emerge from compactification of 10-dLorentzian spacetime in string theory-- where the mu term and dangerous protondecay and R-parity violating operators are either suppressed or forbidden whilea gravity-safe PQ symmetry emerges as an accidental approximate global symmetryleading to a solution to the strong CP problem and a weak-scale/natural valuefor the mu term.

Gravity safe, electroweak natural axionic solution to strong CP and SUSY mu problems