Neutrino effects on the morphology of cosmic large-scale structure

Abstract

In this work, we propose a powerful probe of neutrino effects on the large-scale structure (LSS) of the Universe, i.e., Minkowski functionals (MFs). The morphology of LSS can be fully described by four MFs. This tool, with strong statistical power, is robust to various systematics and can comprehensively probe all orders of N-point statistics. By using a pair of high-resolution N-body simulations, for the first time, we comprehensively studied the subtle neutrino effects on the morphology of LSS. For an ideal LSS survey of volume ∼ 1.73 Gpc 3 /h 3 , neutrino signals are mainly detected from void regions with a significant level up to ∼ 10σ and ∼ 300σ for CDM and total matter density fields, respectively. This demonstrates its enormous potential for much improving the neutrino mass constraint in the data analysis of up-coming ambitious LSS surveys.

Weakly non-Gaussian formula for the Minkowski functionals in general dimensions

“…Prior to the introduction of the Minkowski functionals in cosmology, the genus statistic [18] was applied to smoothed cosmic fields such as the distribution of galaxies [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33], fluctuations of the cosmic microwave background [34][35][36][37][38][39][40], weak lensing fields [41,42], intergalactic medium [43][44][45], and the X-ray remnant of supernovae [46]. Applications of the Minkowski functionals to cosmology are currently quite popular, including the analyses of the large-scale structure [47][48][49][50][51][52][53][54][55][56][57], cosmic microwave background [58][59][60][61][62][63][64]…”

Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: second-order effects

“…Among others, the set of Minkowski functionals [8,9] is one of the popular methods to investigate the non-Gaussianity in cosmology [10,11]. Applications of the Minkowski functionals to the large-scale structure of the Universe are also quite popular [12][13][14][15][16][17][18][19][20][21][22]). The Minkowski functionals are calculated for the excursion set of the random fields, such as isodensity surfaces of the large-scale structure.…”

The effects of peculiar velocities on the morphological properties of large-scale structure

“…Their application in studies of large-scale structure dates back to the 1990s (Mecke et al (1994)). Recently, they are newly proposed to probe theories of gravity (Fang et al (2017)), masses of neutrinos (Liu et al (2020)) etc.…”