Tomography-based observational measurements of the halo mass function via the submillimeter magnification bias

Abstract

Aims. The main goal of this paper is to derive observational constraints on the halo mass fuction (HMF) by performing a tomographic analysis of the magnification bias signal on a sample of background submillimeter galaxies. The results can then be compared with those from a non-tomographic study. Methods. We measure the cross-correlation function between a sample of foreground GAMA galaxies with spectroscopic redshifts in the range $0.1<z<0.8$ (and divided up into four bins) and a sample of background submillimeter galaxies from H-ATLAS with photometric redshifts in the range $1.2<z<4.0$. We model the weak lensing signal within the halo model formalism and carry out a Markov chain Monte Carlo algorithm to obtain the posterior distribution of all HMF parameters, which we assume to follow the Sheth and Tormen (ST) three-parameter and two-parameter fits. Results. While the observational constraints on the HMF from the non-tomographic analysis are not stringent, there is a remarkable improvement in terms of uncertainty reduction when tomography is adopted. Moreover, with respect to the traditional ST triple of values from numerical simulations, the results from the three-parameter fit predict a higher number density of halos at masses below $10^{12}{M}_{\odot }/h$ at 95% credibility. The two-parameter fit yields even more restricting results, with a larger number density of halos below $10^{13}{M}_{\odot }/h$ and a lower one above $10^{14}{M}_{\odot }/h$, this time at more than 3$\sigma$ credibility. Our results are therefore in disagreement with the standard N-body values for the ST fit at 2$\sigma$ and 3$\sigma$, respectively.

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Cited by in corpus (5)

• Quasi-stellar objects and galaxy mass density profiles derived using the submillimetre galaxies magnification bias
• Methodological refinement of the submillimeter galaxy magnification bias. II. Cosmological analysis with tomography
• Cosmic Insights from Galaxy Clusters: Exploring Magnification Bias on Sub-millimeter Galaxies
• Cosmic magnification on high-redshift submillimeter galaxies
• Methodological refinement of the submillimeter galaxy cross-correlation function measurements and their uncertainty estimation