Constraining hybrid natural inflation with recent CMB data

Vázquez, J. Alberto; González, Mariana Carrillo; Germán, Gabriel; Herrera–Aguilar, Alfredo; Hidalgo, Juan Carlos

doi:10.1088/1475-7516/2015/02/039

Cited by 10 publications

(3 citation statements)

References 42 publications

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“…Another interesting possibility is the natural inflation potential VðϕÞ ¼ Λ½1 þ a cosðϕ=fÞ, coupled to an auxiliary sector that triggers a waterfall phase close to the maximum of the potential, where the potential is flat with a negative curvature. Such a model has been studied in [92] assuming instantaneous waterfall.…”

Section: Some Alternativesmentioning

confidence: 99%

Massive primordial black holes from hybrid inflation as dark matter and the seeds of galaxies

2015

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In this paper we present a new scenario where massive primordial black holes (PBHs) are produced from the collapse of large curvature perturbations generated during a mild-waterfall phase of hybrid inflation. We determine the values of the inflaton potential parameters leading to a PBH mass spectrum peaking on planetarylike masses at matter-radiation equality and producing abundances comparable to those of dark matter today, while the matter power spectrum on scales probed by cosmic microwave background (CMB) anisotropies agrees with Planck data. These PBHs could have acquired large stellar masses today, via merging, and the model passes both the constraints from CMB distortions and microlensing. This scenario is supported by Chandra observations of numerous BH candidates in the central region of Andromeda. Moreover, the tail of the PBH mass distribution could be responsible for the seeds of supermassive black holes at the center of galaxies, as well as for ultraluminous x-ray sources. We find that our effective hybrid potential can originate e.g. from D-term inflation with a Fayet-Iliopoulos term of the order of the Planck scale but sub-Planckian values of the inflaton field. Finally, we discuss the implications of quantum diffusion at the instability point of the potential, able to generate a Swiss-cheese-like structure of the Universe, eventually leading to apparent accelerated cosmic expansion.

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Section: Some Alternativesmentioning

confidence: 99%

Massive primordial black holes from hybrid inflation as dark matter and the seeds of galaxies

2015

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“…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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“…The present paper explores the possibility of a maximum in the evolution of (φ) 1 with particular attention to the consequent values for ∆φ e and r H . It is clear for instance that (φ) should not decrease too much because then the small-scale power spectrum becomes so large that primordial black holes are overproduced [14], [15]. Moreover, the end of inflation in this case should be achieved not by the inflaton-field itself, but by some other mechanism e.g, an hybrid field, although all of inflation is driven by a single field.…”

Section: Introductionmentioning

confidence: 99%

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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Constraining hybrid natural inflation with recent CMB data

Cited by 10 publications

References 42 publications

Massive primordial black holes from hybrid inflation as dark matter and the seeds of galaxies

Massive primordial black holes from hybrid inflation as dark matter and the seeds of galaxies

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

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

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