Constraining the mass-concentration relation through weak lensing peak function

Abstract

Halo masses and concentrations have been studied extensively, by means of N-body simulations as well as observationally, during the last decade. Nevertheless, the exact form of the mass-concentration relation is still widely debated. One of the most promising method to estimate masses and concentrations relies on gravitational lensing from massive halos. Here we investigate the impact of the mass-concentration relation on halo peak abundance in weak lensing shear maps relying on the aperture mass method for peak detections. After providing a prescription to take into account the concentration dispersion (always neglected in previous works) in peak number counts predictions, we assess their power to constrain the mass-concentration relation by means of Fisher matrix technique. We find that, when combined with different cosmological probes, peak statistics information from near-future weak lensing surveys provides an interesting and complementary alternative method to lessen the long standing controversy about the mass-concentration relation.

32 pages, 15 figures, 4 tables; some points clarified, improved section on fisher matrix analysis and discussion. Published version

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• A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations
• Cosmological constraints from Subaru weak lensing cluster counts
• Extreme value statistics of weak lensing shear peak counts
• Fast and realistic large-scale structure from machine-learning-augmented random field simulations
• Dark matter halo concentrations: a short review