We introduce a class of unified supersymmetric axion theories with unified and Peccei-Quinn (PQ) symmetries broken by the same set of fields at a scale ∼2×1016 GeV. A typical domain wall number of order 30 leads to an axion decay constant fa of order 1015 GeV. Inflation generates a large saxion condensate, giving a reheat temperature TR below the QCD scale for supersymmetry breaking of order 1-10 TeV. Axion field oscillations commence in the saxion matter-dominated era near the QCD scale, and recent lattice computations of the temperature dependence of the axion mass in this era allow a controlled calculation of the axion dark matter abundance. The observed abundance can be successfully explained by an initial axion misalignment angle of order unity, θi∼1. A highly correlated set of predictions is discussed for fa, TR, the supersymmetric Higgs mass parameter μ, the amount of dark radiation ΔNeff, the proton decay rate Γ(p→e+π0), isocurvature density perturbations and the B mode of the cosmic microwave background. The last two are particularly interesting when the energy scale of inflation is also of order 1016 GeV.
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We thank Michael Dine, Keisuke Harigaya and Hitoshi Murayama for useful discussions. This work was supported in part by the Director, Office of Science, Office of High Energy and Nuclear Physics, of the U.S. Department of Energy under Contract No.DE-AC02-05CH11231 and by the National Science Foundation under Grants No.PHY-1002399 and No.PHY-1316783. R.C. is supported by the National Science Foundation Graduate Research Fellowship under Grant No.DGE 1106400. F.D. is supported by the U.S. Department of Energy Grant No.DE-SC0010107.
© 2016 American Physical Society.