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We study the mass of the lightest CP-even Higgs boson in the deflected miragemediation that is a quite general framework of the mediation of supersymmetrybreaking, incorporating the case where all of the modulus-, the anomaly- andthe gauge-mediated contributions to the soft supersymmetry breaking parametersbecome sizable. We evaluate the degree of tuning the so-called mu parameterrequired for realizing a correct electroweak symmetry breaking and study how toaccomplish both the observed Higgs boson mass and the relaxed fine-tuning. Weidentify the parameter space favored from such a perspective and show thesuperparticle mass spectrum with some input parameters inside the indicatedregion. The results here would be useful when we aim to prove the communicationbetween the visible and the hidden sectors in supergravity and superstringmodels based on the recent observations.

The 126 GeV Higgs boson mass and naturalness in (deflected) mirage mediation