Halo Mass-Concentration Relation at High-Mass End

TL;DR

This study measures the dark matter halo concentration-mass relation at high masses using galaxy-galaxy lensing from DECaLS, revealing a decrease then upturn in concentration with increasing halo mass, informing cluster formation theories.

Contribution

First precise observational measurement of the high-mass end c-M relation using galaxy-galaxy lensing, including an upturn feature, with implications for cluster formation models.

Findings

Concentration decreases with mass from 10^{13} to 10^{14} M_sun.

An upturn in concentration occurs after ~10^{14} M_sun.

Model including upturn fits data better than simple power-law.

Abstract

The concentration-mass (c-M) relation encodes the key information of the assembly history of the dark matter halos, however its behavior at the high mass end has not been measured precisely in observations yet. In this paper, we report the measurement of halo c-M relation with galaxy-galaxy lensing method, using shear catalog of the Dark Energy Camera Legacy Survey (DECaLS) Data Release 8, which covers a sky area of 9500 deg^2. The foreground lenses are selected from redMaPPer, LOWZ, and CMASS catalogs, with halo mass range from 10^{13} to 10^{15} M_sun and redshift range from z=0.08 to z=0.65. We find that the concentration decreases with the halo mass from 10^{13} to 10^{14} M_sun, but shows a trend of upturn after the pivot point of ~10^{14} M_sun. We fit the measured c-M relation with the concentration model c(M)=C_0 (M/(10^{12} M_sun/h)^{-\gamma} [1+(M/M_0)^{0.4}], and get the values (C_0, \gamma, log(M_0) = (5.119_{-0.185}^{0.183}, 0.205_{-0.010}^{0.010}, 14.083_{-0.133}^{0.130}), and (4.875_{-0.208}^{0.209}, 0.221_{-0.010}^{0.010}, 13.750_{-0.141}^{0.142}) for halos with 0.08<=z<0.35 and 0.35<=z<0.65, respectively. We also show that the model including an upturn is favored over a simple power-law model. Our measurement provides important information for the recent argument of massive cluster formation process.