Hybrid Natural Inflation

Ross, Graham G.; Germán, Gabriel; Vázquez, J. Alberto

doi:10.1007/jhep05(2016)010

Cited by 19 publications

(24 citation statements)

References 62 publications

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“…There have been earlier attempts to look for an inflationary model at electro-weak scales [46,47,48,49,50,51]. Our model leads to inflation with exit at Electroweak scale due to non-minimal coupling of the Higgs to Gauss-Bonnet gravity term.…”

Section: Discussionmentioning

confidence: 90%

Low scale Higgs inflation with Gauss–Bonnet coupling

Mathew

Shankaranarayanan

2016

Astroparticle Physics

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Recent LHC data provides precise values of coupling constants of the Higgs field, however, these measurements do not determine its coupling with gravity. We explore this freedom to see whether Higgs field non-minimally coupled to Gauss-Bonnet term in 4-dimensions can lead to inflation generating the observed density fluctuations. We obtain analytical solution for this model and that the exit of inflation (with a finite number of e-folding) demands that the energy scale of inflation is close to Electro-weak scale. We compare the scalar and tensor power spectrum of our model with PLANCK data and discuss its implications.

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Section: Discussionmentioning

confidence: 90%

Low scale Higgs inflation with Gauss–Bonnet coupling

Mathew

Shankaranarayanan

2016

Astroparticle Physics

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“…We illustrate some of the previous discussion with two well motivated models of inflation: Natural Inflation (NI) [17]- [20] and Hybrid Natural Inflation (HNI) [21]- [24].…”

Section: Examples Of Models With Monotonic and Non-monotonic Tensorsmentioning

confidence: 94%

Canonical single field slow-roll inflation with a non-monotonic tensor-to-scalar ratio

Germán

Herrera–Aguilar

Hidalgo

et al. 2016

J. Cosmol. Astropart. Phys.

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On sabbatical leave from Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México. Corresponding author: gabriel@fis.unam.mx.Abstract. We take a pragmatic, model independent approach to single field slow-roll canonical inflation by imposing conditions, not on the potential, but on the slow-roll parameter (φ) and its derivatives (φ) and (φ), thereby extracting general conditions on the tensor-to-scalar ratio r and the running n sk at φ H where the perturbations are produced, some 50 − 60 e-folds before the end of inflation. We find quite generally that for models where (φ) develops a maximum, a relatively large r is most likely accompanied by a positive running while a negligible tensor-to-scalar ratio implies negative running. The definitive answer, however, is given in terms of the slow-roll parameter ξ 2 (φ). To accommodate a large tensor-toscalar ratio that meets the limiting values allowed by the Planck data, we study a non-monotonic (φ) decreasing during most part of inflation. Since at φ H the slow-roll parameter (φ) is increasing, we thus require that (φ) develops a maximum for φ > φ H after which (φ) decrease to small values where most e-folds are produced. The end of inflation might occur trough a hybrid mechanism and a small field excursion ∆φ e ≡ |φ H − φ e | is obtained with a sufficiently thin profile for (φ) which, however, should not conflict with the second slow-roll parameter η(φ). As a consequence of this analysis we find bounds for ∆φ e , r H and for the scalar spectral index n sH . Finally we provide examples where these considerations are explicitly realised.

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“…With Equation (6.6.1) this corresponds to φ = (π/2.14)M close to the value chosen by Hebecker et al The slow roll parameters and the spectral parameters are evaluated with this value of the inflaton field to first order in c φ and a (Ross et al [122]). This gives…”

Section: Hybrid Natural Inflationmentioning

confidence: 95%

“…Recent investigations of hybrid natural inflation have been performed by Ross and Germán [119], Carrillo-González et al [58], Hebecker et al [120], Vázquez et al [121], Ross et al [122], and G. Germán et al [8]. For this model the inflaton potential is written as…”

Section: Hybrid Natural Inflationmentioning

confidence: 99%

Predictions of Spectral Parameters by Several Inflationary Universe Models in Light of the Planck Results

Grøn

2018

Universe

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I give a review of predictions of values of spectral parameters for a large number of inflationary models. The present review includes detailed deductions and information about the approximations that have been made, written in a style that is suitable for text book authors. The Planck data have the power of falsifying several models of inflation as shown in the present paper. Furthermore, they fix the beginning of the inflationary era to a time about 10 −36 s, and the typical energy of a particle at this point of time to 10 16 GeV, only a few orders of magnitude less than the Planck energy, and at least 12 orders of magnitude larger than the most energetic particle produced by CERN's particle accelerator, LHC. This is a phenomenological review with contents as given in the list below. It includes systematic presentations of the different types of slow roll parameters that have been in use, and also of the N-formalism.

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Hybrid Natural Inflation

Cited by 19 publications

References 62 publications

Low scale Higgs inflation with Gauss–Bonnet coupling

Low scale Higgs inflation with Gauss–Bonnet coupling

Canonical single field slow-roll inflation with a non-monotonic tensor-to-scalar ratio

Predictions of Spectral Parameters by Several Inflationary Universe Models in Light of the Planck Results

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