1 INTRODUCTION
2 OBSERVATIONS AND DATA REDUCTION
2.1 Sample selection
2.2 MUSE observations and data reduction
2.3 Absorption line spectroscopy
3 SEARCH FOR GALAXY ASSOCIATIONS
3.1 Search for Ly α emitters
3.2 Testing the robustness of LAE identifications
3.3 Identification of continuum objects
4 DESCRIPTION OF MODELS AND SIMULATIONS
4.1 The EAGLE simulations
4.2 The GALICS semi-analytic model
4.3 A halo prescription for DLAs
5 PROPERTIES OF THE HIGH-CONFIDENCE ASSOCIATIONS
5.1 Notes on individual fields
5.2 Continuum counterparts of the LAEs
6 DISCUSSION
6.2 Constraints on the DLA host halo mass
6.3 Forecasts for future searches
7 SUMMARY AND CONCLUSIONS
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