The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Limits on non-Gaussianities from WMAP data
Open accessAbstract
We develop a method for constraining the level of non-Gaussianity of density perturbations when the three-point function is of the ‘equilateral’ type. Departures from Gaussianity of this form are produced by single field models such as ghost or Dirac–Born–Infeld inflation and in general by the presence of higher order derivative operators in the effective Lagrangian of the inflaton. We show that the induced shape of the three-point function can be very well approximated by a factorizable form, making the analysis practical. We also show that, unless one has a full sky map with uniform noise, in order to saturate the Cramer–Rao bound for the error on the amplitude of the three-point function, the estimator must contain a piece that is linear in the data. We apply our technique to the WMAP data obtaining a constraint on the amplitude f NL equil of ‘equilateral’ non-Gaussianity: −366 < f NL equil < 238 at 95 % C.L. We also apply our technique to constrain the so-called ‘local’ shape, which is predicted for example by the curvaton and variable decay width models. We show that the inclusion of the linear piece in the estimator improves the constraint over those obtained by the WMAP team, to −27 < f NL local < 121 at 95% C.L.
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Cites
Spergel, D. N., Verde, L., Peiris, H. V., Komatsu, E., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377226 · Cited by 10,976
Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L., Spergel, D. N., Tucker, G. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377253 · Cited by 4,860
DBI in the sky: Non-Gaussianity from inflation with a speed limit
Alishahiha, M., Silverstein, E., & Tong, D. (2004) · Physical Review D · doi:10.1103/physrevd.70.123505 · Cited by 1,064
Cited by
SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE(WMAP) OBSERVATIONS: COSMOLOGICAL INTERPRETATION
Komatsu, E., Smith, K. M., Dunkley, J., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Nolta, M. R., Page, L., et al. (2011) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/192/2/18 · Cited by 8,802
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION
Komatsu, E., Dunkley, J., Nolta, M. R., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/330 · Cited by 5,786
Desjacques, V., Jeong, D., & Schmidt, F. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.12.002 · Cited by 817
Planck 2015 results: XVII. Constraints on primordial non-Gaussianity
Planck Collaboration, Ade, P. A. R., Aghanim, N., Arnaud, M., Arroja, F., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., et al. (2016) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201525836 · Cited by 507
Metadata
- Authors
- Creminelli, P., Nicolis, A., Senatore, L., Tegmark, M., & Zaldarriaga, M.
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2006-05-08
- Volume
- 2006
- Issue
- 05
- Pages
- 004-004
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W1994585962
- Cited by
- 361
- References
- 3
- FWCI
- 14.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Creminelli, P., Nicolis, A., Senatore, L., Tegmark, M., & Zaldarriaga, M. (2006). Limits on non-Gaussianities from WMAP data. Journal of Cosmology and Astroparticle Physics. https://doi.org/10.1088/1475-7516/2006/05/004
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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