Trispectrum estimation in various models of equilateral type non-Gaussianity

Abstract

We calculate the shape correlations between trispectra in various equilateral non-Gaussian models, including DBI inflation, ghost inflation and Lifshitz scalars, using the full trispectrum as well as the reduced trispectum. We find that most theoretical models are distinguishable from the shapes of primordial trispectra except for several exceptions where it is difficult to discriminate between the models, such as single field DBI inflation and a Lifshitz scalar model. We introduce an estimator for the amplitude of the trispectrum, $g_{\mathrm{NL}}^{equil}$ and relate it to model parameters in various models. Using constraints on $g_{\mathrm{NL}}^{equil}$ from WMAP5, we give constraints on the model parameters.

16 pages, 3 figures; (v2) minor revisions, reference added; (v3) typos in Tables corrected

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• Galileon inflation
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Cited by in corpus (13)

• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• Integrated trispectrum detection from BOSS DR12 NGC CMASS
• Halo/Galaxy Bispectrum with Primordial non-Gaussianity from integrated Perturbation Theory (iPT)
• Gravitational wave trispectrum in the axion-SU(2) model
• Non-Gaussianities in multi-field DBI inflation with a waterfall phase transition
• The Trispectrum in the Effective Theory of Inflation with Galilean symmetry
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum
• The Trispectrum as a Diagnostic of Primordial Orthogonal non-Gaussianities
• Constraining equilateral-type primordial non-Gaussianities from imaging surveys
• Hamiltonian formalism of cosmological perturbations and higher derivative theories
• Cosmological signatures of brane inflation