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Distribution of the dark matter inner slope in massive ellipticals

Determine the statistical distribution of the inner slope parameter gamma_in of the generalized Navarro–Frenk–White dark matter density profile in massive elliptical galaxies that act as strong gravitational lenses, in order to reduce modeling systematics in time-delay cosmography.

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Background

Time-delay cosmography is sensitive to the mass profile of lens galaxies, particularly to deviations from a pure power-law profile captured via the mass-sheet transform and parameters like the inner slope of the dark matter halo. The paper explores a generalized NFW (gNFW) parameterization and notes that different studies and simulations infer a wide range of inner slopes for massive ellipticals.

The authors emphasize that uncertainty in the distribution of the inner slope contributes to systematic uncertainties in strong-lensing analyses. Clarifying this distribution would help calibrate selection biases and improve the robustness of H0 inferences.

References

However, the inner slope distribution is not well understood, and the simulations have lots of uncertainty.

Correcting for Selection Biases in the Determination of the Hubble Constant from Time-Delay Cosmography (2410.16171 - Li et al., 21 Oct 2024) in Section "Limitations", subsection "The dark matter density profile"