Strong Clustering of Lyman Break Galaxies around Luminous Quasars at z~4

TL;DR

This study demonstrates that Lyman Break Galaxies are strongly clustered around luminous quasars at z~4, indicating that these quasars reside in massive dark matter halos within overdense regions, using novel narrow-band selection techniques.

Contribution

First measurement of the QSO-LBG cross-correlation function at z~4 using narrow-band filters, revealing strong clustering and supporting the massive halo model for quasars.

Findings

LBGs are strongly clustered around QSOs at z~4.

Measured QSO-LBG cross-correlation length r0_QG=8.83 Mpc/h.

LBG auto-correlation length in QSO fields is ~4 times larger than in random fields.

Abstract

In the standard picture of structure formation, the first massive galaxies are expected to form at the highest peaks of the density field, which constitute the cores of massive proto-clusters. Luminous quasars (QSOs) at z~4 are the most strongly clustered population known, and should thus reside in massive dark matter halos surrounded by large overdensities of galaxies, implying a strong QSO-galaxy cross-correlation function. We observed six z~4 QSO fields with VLT/FORS exploiting a novel set of narrow band filters custom designed to select Lyman Break Galaxies (LBGs) in a thin redshift slice of Delta_z~0.3, mitigating the projection effects that have limited the sensitivity of previous searches for galaxies around z>~4 QSOs. We find that LBGs are strongly clustered around QSOs, and present the first measurement of the QSO-LBG cross-correlation function at z~4, on scales of 0.1<~R<~9 Mpc/h (comoving). Assuming a power law form for the cross-correlation function xi=(r/r0_QG)^gamma, we measure r0_QG=8.83^{+1.39}_{-1.51} Mpc/h for a fixed slope of gamma=2.0. This result is in agreement with the expected cross-correlation length deduced from measurements of the QSO and LBG auto-correlation function, and assuming a linear bias model. We also measure a strong auto-correlation of LBGs in our QSO fields finding r0_GG=21.59^{+1.72}_{-1.69} Mpc/h for a fixed slope of gamma=1.5, which is ~4 times larger than the LBG auto-correlation length in random fields, providing further evidence that QSOs reside in overdensities of LBGs. Our results qualitatively support a picture where luminous QSOs inhabit exceptionally massive (M_halo>10^12 M_sun) dark matter halos at z~4.