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We study the Standard Model Higgs field as a source for the primordialcurvature perturbation, particularly in the curvaton and modulated reheatingscenario. We conclude that the Higgs cannot play as a curvaton due to the smallenergy density when it decays, however the modulated reheating by Higgs can bea viable scenario. In the latter case, the non-Gaussianity is inevitablygenerated and strongly constrains the type of potential of inflaton field andHiggs-dependent interaction term. For the quadratic potential of the inflatonfield with decay rate which non-linearly depends on the Higgs vacuumexpectation value, the contribution of Higgs field to the primordial curvatureperturbation must be less than 8%.

Can Standard Model Higgs Seed the Formation of Structures in Our Universe?