Large primordial trispectra in general single field inflation

By Xingang Chen, Bin Hu, Min-xin Huang, Gary Shiu, Yi Wang. 2009

167 citations recorded by the source corpus.

We compute the large scalar four-point correlation functions in general single field inflation models, where the inflaton Lagrangian is an arbitrary function of the inflaton and its first derivative. We find that the leading order trispectra have four different shapes determined by three parameters. We study features in these shapes that can be used to distinguish among themselves, and between them and the trispectra of the local form. For the purpose of data analyses, we give two simple representative forms for these ``equilateral trispectra''. We also study the effects on the trispectra if the initial state of inflation deviates from the standard Bunch-Davies vacuum.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/90ee79e6ac7502c8b94c99e1f81d915d9ef68130

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. Yi Wang
3. A. Banday
4. C. Byrnes
5. H. Eriksen
6. Kiwoon Choi
7. D. Baumann
8. M. Liguori

In Nuclear and High Energy Physics

1. Xingang Chen
2. C. Byrnes
3. Yi Wang
4. Kiwoon Choi
5. J. Fergusson
6. E. Shellard
7. M. Liguori
8. D. Baumann

Citations in the corpus

• Inflation, Cosmic Perturbations and Non-Gaussianities (2013, methodology): “The trispectrum of this P (X,φ) theory can also be calculated using the in-in formalism [102, 147].”
• Primordial Non-Gaussianities from Inflation Models (2010, background): “[185–191] for the equilateral case and [192–197] for the local case.”
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity (2015, unknown): “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”
• Review of local non-Gaussianity from multi-field inflation (2010, methodology): “There are several different fNL’s used in the literature which parameterise different shape dependences of the bispectrum [41, 42], the most popular being the local model discussed in this paper and the so-called equilateral model which can arise from models of inflation with noncanonical kinetic te”
• Quasi-Single Field Inflation and Non-Gaussianities (2009, methodology): “For each shape component, we take the regular tetrahedron limit and define tNL as [9] 〈ζ(4)〉component R.”
• Conformal consistency relations for single-field inflation (2012, background): “This implies that, in the limit of exact scale-invariance, we have a q2 suppression at each of the two vertices (this is indeed verified by the explicit results [15, 16]) that completely kills the q → 0 divergence from the power spectrum, so that the result is not dominated by the soft scalar exchan”
• 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”