Papers › Constraints on the mass-concentration relation of cold dark matter halos with 11...
Constraints on the mass-concentration relation of cold dark matter halos with 11 strong gravitational lenses
Daniel Gilman, Xiaolong Du, Andrew Benson, Simon Birrer, Anna Nierenberg, Tommaso Treu
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The mass-concentration relation of dark matter halos reflects the assembly history of objects in hierarchical structure formation scenarios, and depends on fundamental quantities in cosmology such as the slope of the primordial matter power-spectrum. This relation is unconstrained by observations on sub-galactic scales. We derive the first measurement of the mass-concentration relation using the image positions and flux ratios from eleven quadruple-image strong gravitational lenses (quads) in the mass range 10⁶ - 10¹⁰ M_⊙, assuming cold dark matter. Our analysis framework includes both subhalos and line of sight halos, marginalizes over nuisance parameters describing the lens macromodel, accounts for finite source effects on lensing observables, and simultaneously constrains the normalization and logarithmic slope of the mass-concentration relation, and the normalization of the subhalo mass function. At z=0, we constrain the concentration of 10⁸ M_⊙ halos c=12₋₅⁺⁶ at 68 % CI, and c=12₋₉⁺¹⁵ at 95 % CI. For a 10⁷ M_⊙ halo, we obtain 68 % (95 %) constraints c=15₋₈⁺⁹ (c=15₋₁₁⁺¹⁸), while for 10⁹ M_⊙ halos c=10₋₄⁺⁷ (c=10₋₇⁺¹⁴). These results are consistent with the theoretical predictions from mass-concentration relations in the literature, and establish strong lensing by galaxies as a powerful probe of halo concentrations on sub-galactic scales across cosmological distance.
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