Anomaly-free discrete R-symmetries plus Kim-Nilles regeneration of the mu term force an accidental U(1)_PQ whose spontaneous breaking yields a SUSY DFSZ axion that solves strong CP.
Implications of Higgs mass for hidden sector SUSY breaking
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abstract
Hidden sector SUSY breaking where charged hidden sector fields obtain SUSY breaking vevs once seemed common in dynamical SUSY breaking (DSB). In such a case, scalars can obtain large masses but gauginos and A-terms gain loop-suppressed anomaly-mediated contributions which may be smaller by factors of 1/16\pi^2 ~1/160. This situation leads to models such as PeV or mini-split supersymmetry with m(scalars)~ 160 m(gauginos). In order to generate a light Higgs mass m_h~ 125 GeV, the scalar mass terms are required in the 10-100 TeV range, leading to large, unnatural contributions to the weak scale. Alternatively, in gravity mediation with singlet hidden sector fields, then m(scalars)~ m(gauginos)~ A-terms and the large A-terms lift m_h ->125 GeV even for natural values of m(stop1)~ 1-3 TeV. Requiring naturalness, which is probabilistically preferred by the string landscape, then the measured Higgs mass seems to favor singlets in the hidden sector, which can be common in metastable and retrofitted DSB models.
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Natural SUSY with axino LSP allows viable mixed axion-axino dark matter matching the observed abundance for axino masses near 100 keV and PQ scales of 10^11 to 3x10^12 GeV in DFSZ and KSVZ models.
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Serendipitous supersymmetric solution to the strong CP problem
Anomaly-free discrete R-symmetries plus Kim-Nilles regeneration of the mu term force an accidental U(1)_PQ whose spontaneous breaking yields a SUSY DFSZ axion that solves strong CP.
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Natural SUSY with mixed axion/axino dark matter
Natural SUSY with axino LSP allows viable mixed axion-axino dark matter matching the observed abundance for axino masses near 100 keV and PQ scales of 10^11 to 3x10^12 GeV in DFSZ and KSVZ models.