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The three-point correlation function or its Fourier conjugate the bispectrum is the lowest order statistic sensitive to non-Gaussianity. Second-order perturbation theory predicts that measurements of the bispectrum in the weakly non-linear regime can be used to determine the bias parameters. The measurements of the bispectrum enable us to lift the degeneracy between Ω_m (which appears in f(Ω_m)) and b_1, something which is not possible by considering only the power spectrum.
The three-point correlation function or its Fourier conjugate the bispectrum is the lowest order statistic sensitive to non-Gaussianity. Second-order perturbation theory predicts that measurements of the bispectrum in the weakly non-linear regime can be used to determine the bias parameters. The measurements of the bispectrum enable us to lift the degeneracy between Ω_m (which appears in f(Ω_m)) and b_1, something which is not possible by considering only the power spectrum.
In Ref. [2001.10243], we developed a formalism to quantify the anisotropy of the redshift space bispectrum by decomposing it into multipole moments. Here k_1 is the length of the largest k-vector, and (μ, t) respectively quantify the size and shape of the triangle made by the three k-vectors.
In Ref. [2001.10243], we developed a formalism to quantify the anisotropy of the redshift space bispectrum by decomposing it into multipole moments. Here k_1 is the length of the largest k-vector, and (μ, t) respectively quantify the size and shape of the triangle made by the three k-vectors.
This shows the dimensionless bispectrum multipoles at z=0.7 and k_1=0.2/Mpc. Here FoG denotes results with the Finger-of-God effect. [2209.03233]
This shows the dimensionless bispectrum multipoles at z=0.7 and k_1=0.2/Mpc. Here FoG denotes results with the Finger-of-God effect. [2209.03233]
This shows the signal-to-noise (SNR) with which the different bispectrum multipoles will be detected by EUCLID survey. [2209.03233]
This shows the signal-to-noise (SNR) with which the different bispectrum multipoles will be detected by EUCLID survey. [2209.03233]
This shows the SDSS bispectrum (black circles) for three different triangle shapes namely equilateral, squeezed and stretched, as function of the largest side k_1.
This shows the SDSS bispectrum (black circles) for three different triangle shapes namely equilateral, squeezed and stretched, as function of the largest side k_1.
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