Inflationary trispectrum for models with large non-Gaussianities

By Xingang Chen, Min-xin Huang, Gary Shiu. 2006

176 citations recorded by the source corpus.

We compute the leading order contribution to the four-point function of the primordial curvature perturbation in a class of single field models where the inflationary Lagrangian is a general function of the inflaton and its first derivative. This class of models includes string motivated inflationary models such as DBI inflation. We find that the trispectrum for some range of parameters could potentially be observed in future experiments. Moreover, the trispectrum can distinguish DBI inflation from other inflation models with large non-Gaussianities which typically have a similar bispectrum. We also derive a set of consistency conditions for n-point functions of the primordial curvature perturbation in single field inflation, generalizing Maldacena's result for 3-point functions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3b81903862d83d9ae259acb77aa412c7b08a5f9b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Xingang Chen
2. C. Byrnes
3. Yi Wang
4. Kiwoon Choi
5. A. Banday
6. D. Seery
7. H. Eriksen
8. E. Komatsu

In Nuclear and High Energy Physics

1. Xingang Chen
2. C. Byrnes
3. Kiwoon Choi
4. Yi Wang
5. D. Seery
6. F. Vernizzi
7. J. Fergusson
8. A. Banday

Citations in the corpus

• Primordial Non-Gaussianities from Inflation Models (2010, background): “6) can be straightforwardly generalized to higher order correlation functions [192,187].”
• PRIMORDIAL NON-GAUSSIANITY, SCALE-DEPENDENT BIAS, AND THE BISPECTRUM OF GALAXIES (2009, background): “Recently, a number of groups (e.g., Boubekeur & Lyth 2006; Huang & Shiu 2006; Byrnes et al. 2006; Buchbinder et al. 2008) have shown that the primordial trispectrum can in general be written as TΦ(k1, k2, k3, k4) =6gNL [Pφ(k1)Pφ(k2)Pφ(k3) + (3 cyclic)] + 25 18 τNL × [Pφ(k1)Pφ(k2) {Pφ(k13) +…”
• Infrared effects in inflationary correlation functions (2010, background): “At least in part, this increase was a consequence of the more complicated models of inflation which had been developed during the 1990s and early 2000s, and which theorists hoped would yield a distinctive pattern of correlations [12, 16, 42, 43].”
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity (2019, background): “In fact in these models the dominant contribution in the small-sound-speed limit (Chen et al. 2009; Arroja et al. 2009) to the contact interaction trispectrum (Huang & Shiu 2006) produces such a shape, with an amplitude gσ̇ 4 NL = −25/(768 c4s ).”
• FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION (2008, unknown): “Studies on the forms of the trispectrum from inflation models have just begun, and some important insights have been obtained (Boubekeur & Lyth 2006; Huang & Shiu 2006; Byrnes et al. 2006; Seery & Lidsey 2007; Seery et al. 2007; Arroja & Koyama 2008).”
• Inflationary trispectrum from graviton exchange (2008, result): “In this limit, the trispectrum must be described by Maldacena’s consistency relation [11, 46, 26, 47, 45]: the scalar mode associated with the small momentum forms a fixed classical background into which the remaining modes exit, in a similar fashion to the calculations discussed in §3.”