Massive Neutrinos' Impact on Large-Scale Structure

This study investigates the imprints of massive neutrinos on the three-point correlation function (3PCF) of large-scale structures. The authors measured the isotropic connected 3PCF ζ and the reduced 3PCF Q of halo catalogs from the Quijote suite of N-body simulations, considering different neutrino masses (0.0, 0.1, 0.2, and 0.4 eV) in various redshift bins. They developed a framework to quantify the detectability of massive neutrinos for different triangle configurations and shapes, applying it to a case compatible with a stage-IV spectroscopic survey. The results indicate that the strongest signal is found for quasi-isosceles and squeezed triangles, with the signal increasing for decreasing redshifts. Elongated triangles, tracing the filamentary structure of the cosmic web, are the most affected by massive neutrinos. Importantly, the authors found that the signatures of a σ8 variation appear to be significantly different on elongated triangles in ζ and right-angled triangles in Q, suggesting that the 3PCF can be used to effectively break the Mν - σ8 degeneracy. These findings suggest that the 3PCF can serve as a powerful complementary tool for constraining neutrino masses in current and future spectroscopic surveys.

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