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Inflation in the mixed Higgs-R2 model

2018/04/02 by Minxi He, Alexei A. Starobinsky, Jun'ichi Yokoyama · 114 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #Hierarchy problem #Higgs boson #Higgs field #Inflation (cosmology) #Parameter space #Particle physics theoretical and experimental studies #Scalar field #Spectral index #Standard Model (mathematical formulation) #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1088/1475-7516/2018/05/064

published in Journal of Cosmology and Astroparticle Physics 2018(05), 064 (Institute of Physics) · 13 pages, 3 figures

arxiv created 2018/04/02 · openalex created_date 2018/04/13 · openalex publication_date 2018/05/29 · arxiv updated 2018/06/13 · openalex updated_date 2026/08/05

Abstract

We analyze a two-field inflationary model consisting of the Ricci scalar squared ( R 2 ) term and the standard Higgs field non-minimally coupled to gravity in addition to the Einstein R term. Detailed analysis of the power spectrum of this model with mass hierarchy is presented, and we find that one can describe this model as an effective single-field model in the slow-roll regime with a modified sound speed. The scalar spectral index predicted by this model coincides with those given by the R 2 inflation and the Higgs inflation implying that there is a close relation between this model and the R 2 inflation already in the original (Jordan) frame. For a typical value of the self-coupling of the standard Higgs field at the high energy scale of inflation, the role of the Higgs field in parameter space involved is to modify the scalaron mass, so that the original mass parameter in the R 2 inflation can deviate from its standard value when non-minimal coupling between the Ricci scalar and the Higgs field is large enough.

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