Halo Mass-concentration Relation at the High-mass End

The concentration-mass (c-M) relation encodes key information about the assembly history of 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 the halo c-M relation with the galaxy-galaxy lensing method, using the 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 the redMaPPer, LOWZ, and CMASS catalogs, with halo masses ranging from 10(13) to 10(15) M-circle dot and redshifts ranging 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-circle dot, but shows a trend of upturn after the pivot point of similar to 10(14) M-circle dot. We fit the measured c-M relation with the concentration model c(M)=C-0 (M/10(12)M(circle dot)/h)(-gamma) [1 + (M/M-0)(0.4)], and we get the values (C-0, gamma, log(10)(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