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A new viewpoint for the gauge hierarchy problem is proposed: compactificationat a large scale, 1/R, leads to a low energy effective theory withsupersymmetry softly broken at a much lower scale, \alpha/R. The hierarchy isinduced by an extremely small angle \alpha which appears in the orbifoldcompactification boundary conditions. The same orbifold boundary conditionsbreak Peccei-Quinn symmetry, leading to a new solution to the \mu problem.Explicit 5d theories are constructed with gauge groups SU(3) \times SU(2)\times U(1) and SU(5), with matter in the bulk or on the brane, which lead tothe (next-to) minimal supersymmetric standard model below the compactificationscale. In all cases the soft supersymmetry-breaking and \mu parametersoriginate from bulk kinetic energy terms, and are highly constrained. Thesupersymmetric flavor and CP problems are solved.Comment: 18 pages, Latex, corrected values for A parameter

Softly broken supersymmetric desert from orbifold compactification