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D-brane instanton induced<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi></mml:math>terms and their hierarchical structure
We study the $\ensuremath{\mu}$-term matrix of Higgs pairs induced by the D-brane instanton effects in intersecting D6-brane models compactified on ${T}^{6}$. It is found that the $\ensuremath{\mu}$-term matrix has a certain permutation symmetry and its eigenvalues have large hierarchical structure without fine-tuning.