New physical effects such as supersymmetry may in principle reduce the size of the loop corrections, making the theory natural.
The expected value of the Higgs mass is about 10% of the size of the loop corrections which shows that a certain "little" amount of fine-tuning seems necessary.
Along with these limits, the rather large measured value of mh ≈ 125 GeV seems to require TeV-scale highly mixed top squarks.
These combined measurements have raised concern now about an emerging Little Hierarchy problem characterized by mW,Z,h ≪ msparticle.
The Little Hierarchy problem has led to concern that WSS is perhaps not realized in nature, or at least not in the manner typically expected by theorists in years past.
Alternatively, for natural SUSY, one may expect that mHu2 runs to small negative values, in which case both μ and |mHu| are of order 100–200 GeV.
By minimizing the (Coleman-Weinberg) scalar potential of the MSSM, then one may relate the measured value of mZ = 91.2 GeV to the SUSY Lagrangian parameters: Here, tan β ≈ 5–50 is the ratio of Higgs field vacuum expectation values vu/vd and mHd2 is the down-Higgs soft breaking mass term.