Non-Gaussianity for a two component hybrid model of inflation
Open accessAbstract
We consider a hybrid model of inflation, in which two fields drive inflation. Our results show that, if the parameters are finely tuned, this model may generate an observable non-Gaussian contribution to the curvature spectrum, within the limits allowed by the recent WMAP year three data. We show that if one field has a mass η ϕ <0 and an initial value ϕ * <0.025 M pl , while the other field has a mass η σ >0 and an initial field value 0.45 M pl <σ≤ M pl , then the non-Gaussianity is observable with , but that f NL becomes much less than the observable limit should we take both masses to have the same sign, or if we loosened the constraints on the initial field values.
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Our formula for f_NL^(4) is consistent with the calculation of [5].
“Our formula for f (4) NL is also consistent with the calculation of [5] but our analysis of the parameter space is more extensive and in particular it allows for very small initial field values.”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [5]
We find a region with much larger non-Gaussianity than was found in [5].
“We therefore find a region with much larger non-Gaussianity than was found in [5].”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [5]
Our analysis of the parameter space is more extensive than [5] and allows for very small initial field values.
“Our formula for f (4) NL is also consistent with the calculation of [5] but our analysis of the parameter space is more extensive and in particular it allows for very small initial field values.”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [5]
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Cites
Non-Gaussianities in two-field inflation
Vernizzi, F., & Wands, D. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/05/019 · Cited by 274 · cited 1× · see citing works
“Curvature perturbation 4 4. fNL 5”
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Research works printed but not linked: 14
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- Spergel D N et al , Wilkinson Microwave Anisotropy Probe (WMAP) three year results: Implications for cosmology, 2006 Preprint astro-ph/0603449 · arXiv
- Alabidi L and Lyth D H, Inflation models and observation, 2006 J. Cosmol. Astropart. Phys. JCAP05(2006)016 [SPIRES] [astro-ph/0510441] Journal of Cosmology and Astroparticle Physics 10 (2006) 015 (stacks.iop.org/JCAP/2006/i=10/a=015) · DOI
Cited by
Sorted by citations
Conditions for large non-Gaussianity in two-field slow-roll inflation
Byrnes, C. T., Choi, K.-Y., & Hall, L. M. H. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/10/008 · Cited by 143 · see citing works
Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models
Choi, K.-Y., Hall, L. M. H., & Bruck, C. V. D. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/02/029 · Cited by 98 · see citing works
- Authors
- Alabidi, L.
- Affiliations
- Lancaster University (GB)
- Corresponding author
- Alabidi, Laila
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2006-10-20
- Volume
- 2006
- Issue
- 10
- Pages
- 015-015
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2055902244
- Cited by
- 49
- References
- 1
- Citations by year
- 2026: 1 · 2021: 1 · 2018: 1 · 2017: 1 · 2016: 1 · 2014: 2 · 2013: 3 · 2012: 3
- FWCI
- 3.64
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Dowager Countess Eleanor Peel Trust
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- hybrid inflation, non-Gaussianity, two-field inflation, curvature perturbations, f_NL, scalar field mass, primordial power spectrum
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