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tokens: We thank the referee, J. Braine, for his comments and suggestions that improved the readability, clarity, and correctness of this paper. C.S. wants to thank F. Galliano for his input on the dust grain composition and for making his dust model available. Most of the numerical analysis conducted in this work have been performed using phy++, a free and open source C++ library for fast and robust numerical astrophysics (cschreib.github.io/phypp/). This work is based on observations taken by the CANDELS Multi-Cycle Treasury Program with the NASA/ESA HST, which is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS5-26555. This research was supported by the French Agence Nationale de la Recherche (ANR) project ANR-09-BLAN-0224 and by the European Commission through the FP7 SPACE project ASTRODEEP (Ref. No: 312725). LC benefited from the thales project 383549 that is jointly funded by the European Union and the Greek Government in the framework of the program “Education and lifelong learning”. T.W. acknowledges support for this work from the National Natural Science Foundation of China under grants No. 11303014.