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Motivated by slow-roll inflationary cosmology we study a scalar unparticleweakly coupled to a Higgs field in the broken symmetry phase. The mixingbetween the unparticle and the Higgs field results in a seesaw type matrix andthe mixing angles feature a Mikheyev-Smirnov-Wolfenstein (MSW) effect as aconsequence of the unparticle field being noncanonical. We find two (MSW)resonances for small and large spacelike momenta. The unparticlelike modefeatures a nearly flat potential with spinodal instabilities and a largeexpectation value. An effective potential for the unparticlelike field isgenerated from the Higgs potential, but with couplings suppressed by a largepower of the small seesaw ratio. The dispersion relation for the Higgs-likemode features an imaginary part even at "tree level" as a consequence of thefact that the unparticle field describes a multiparticle continuum. Mixedunparticle-Higgs propagators reveal the possibility of oscillations, albeitwith short coherence lengths. The results are generalized to the case in whichthe unparticle features a mass gap, in which case a low energy MSW resonancemay occur for lightlike momenta depending on the scales. Unparticle-Higgsmixing leads to an effective unparticle potential of the new-inflation form.Slow-roll variables are suppressed by seesaw ratios and the anomalousdimensions and favor a red spectrum of scalar perturbations consistent withcosmic microwave background data.

Unparticle-Higgs Mixing: MSW Resonances, See-saw Mechanism and Spinodal Instabilities