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The naturalness problem might be studied on the complex two dimensional planewith the technique of dimensional regularization(DREG). The Renormalizationgroup equation(RGE) of the Higgs mass on the plane suggests the Higgs massapproaches zero at ultraviolate (UV) scale, the scale can be Planck scale whenthe top quark pole mass $M_{t}=168$ GeV. The real issue of the naturalnessproblem in the sense of Wilsonian renormalization group method is not aboutquadratic divergences but the rescaling effect. The Higgs mass can beconsidered to be one composed mass. All terms in the lagrangian in thisscenario are marginal terms and no relevant terms are left, thus no rescalingeffect to cause the naturalness problem anymore. RGE of the vacuum expectationvalue (VEV) in the Landau gauge up to two-loop order is studied.Scale-dependent behavior of the composed Higgs mass shows that we can have onetiny Higgs mass at high energy scale, even around the Planck scale, when$M_{t}\leq170.7$ GeV.

RGE, the naturalness problem and the understanding of the Higgs mass term