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• W3083727909 endingPage "015" @default.
• W3083727909 startingPage "015" @default.
• W3083727909 abstract "The power spectrum has long been the workhorse summary statistics for large-scale structure cosmological analyses. However, gravitational non-linear evolution moves precious cosmological information from the two-point statistics (such as the power spectrum) to higher-order correlations. Moreover, information about the primordial non-Gaussian signal lies also in higher-order correlations. Without tapping into these, that information remains hidden. While the three-point function (or the bispectrum), even if not extensively, has been studied and applied to data, there has been only limited discussion about the four point/trispectrum. This is because the high-dimensionality of the statistics (in real space a skew-quadrilateral has 6 degrees of freedom), and the high number of skew-quadrilaterals, make the trispectrum numerically and algorithmically very challenging. Here we address this challenge by introducing the i-trispectrum, an integrated trispectrum that only depends on four $k$-modes moduli. We model and measure the matter i-trispectrum from a set of 5000 textsc{Quijote} N-body simulations both in real and redshift space, finding good agreement between simulations outputs and model up to mildly non-linear scales. Using the power spectrum, bispectrum and i-trispectrum joint data-vector covariance matrix estimated from the simulations, we begin to quantify the added-value provided by the i-trispectrum. In particular, we forecast the i-trispectrum improvements on constraints on the local primordial non-Gaussianity amplitude parameters $f_mathrm{nl}$ and $g_mathrm{nl}$. For example, using the full joint data-vector, we forecast $f_mathrm{nl}$ constraints up to two times ($sim32%$) smaller in real (redshift) space than those obtained without i-trispectrum." @default.
• W3083727909 created "2020-09-11" @default.
• W3083727909 creator A5022141862 @default.
• W3083727909 creator A5033786381 @default.
• W3083727909 creator A5036918356 @default.
• W3083727909 creator A5088382763 @default.
• W3083727909 date "2021-01-11" @default.
• W3083727909 modified "2023-10-08" @default.
• W3083727909 title "Matter trispectrum: theoretical modelling and comparison to N-body simulations" @default.
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• W3083727909 doi "https://doi.org/10.1088/1475-7516/2021/01/015" @default.
• W3083727909 hasPublicationYear "2021" @default.

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