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Planck Trispectrum Constraints on Primordial Non-Gaussianity at Cubic Order
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abstract
Non-Gaussianity of the primordial density perturbations provides an important measure to constrain models of inflation. At cubic order the non-Gaussianity is captured by two parameters $\tau_{\rm NL}$ and $g_{\rm NL}$ that determine the amplitude of the density perturbation trispectrum. Here we report measurements of the kurtosis power spectra of the cosmic microwave background (CMB) temperature as mapped by Planck by making use of correlations between square temperature-square temperature and cubic temperature-temperature anisotropies. In combination with noise simulations, we find the best joint estimates to be $\tau_{\rm{NL}}=0.3 \pm 0.9 \times 10^4$ and $g_{\rm{NL}}=-1.2 \pm 2.8 \times 10^5$. If $\tau_{\rm NL}=0$, we find $g_{\rm NL}= -1.3\pm 1.8 \times 10^5$.
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Cited by 3 Pith papers
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Searching for Inflationary Physics with the CMB Trispectrum: 2. Code & Validation
PolySpec is a public, validated suite of near-optimal quartic estimators that lets the CMB four-point function probe many inflationary models beyond local non-Gaussianity.
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Searching for Inflationary Physics with the CMB Trispectrum: 1. Primordial Theory & Optimal Estimators
A set of quasi-optimal CMB trispectrum estimators is derived for local, EFT, direction-dependent, spinning-particle, point-source, and lensing templates, enabling first collider searches.
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Searching for Inflationary Physics with the CMB Trispectrum: 3. Constraints from Planck
A comprehensive Planck PR4 trispectrum analysis finds no primordial non-Gaussianity across 33 templates and sets leading constraints, including tau_NL loc < 1500 at 95% CL.
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