Cosmological constraints from the density gradient weighted correlation function

• DOI: 10.1093/mnras/stac879
• Publication Date: 2022-03-30T11:26:04Z
• Authors: Xiaoyuan Xiao; Yizhao Yang; Xiaolin Luo; Jiacheng Ding; Zhiqi Huang; Xin Wang; Yi Zheng; Cristiano G Sabiu; Jaime Forero-Romero; Haitao Miao; Xiao-Dong Li
• Keywords: Weight function

The mark weighted correlation function (MCF) $W(s,\mu)$ is a computationally efficient statistical measure which can probe clustering information beyond that of the conventional 2-point statistics. In this work, we extend traditional statistics by using powers density field gradient $|\nabla \rho/\rho|^\alpha$ as weight, and use angular dependence scale-averaged MCFs to constrain cosmological parameters. analysis shows based weighting scheme statistically more powerful than scheme, while combining two schemes together separately either them. Utilising or with $\alpha=0.5,\ 1$, strengthen constraint on $\Omega_m$ factors 2 4, respectively, compared standard function, simultaneously be $1.25$ times alone. may play an important role in future large-scale surveys. Many issues, including possibility other types weights, influence bias statistics, well usage tomographic Alcock-Paczynski method, are worth further investigations.