Observational constraints on the critical metallicity for low mass star formation The Universe emerged from the Big Bang with a very simple chemical composition: hydrogen, helium and traces of lithium. The first stars that formed had this chemical composition, however, from the theoretical point of view only very massive stars should have formed, due to the lack of efficient cooling mechanisms that allow the formation of low mass stars. Thus there should exist a critical metallicity, below which no low-mass stars, that are long-lived and may still be observed at the present time, can be formed. To put observational constraints on this critical metallicity we have to search for extremely metal-poor stars and derive the metal-weak tail of the metallicity distribution function. The critical metallicity should manifest itself as a sharp drop in the MDF. In this search one finds many extremely metal-poor stars (EMP) that hold in their atmospheres the fossil record of the chemical composition of the early phases of the Galactic evolution. The chemical analysis of such objects provides important constraints on these early phases and especially on the masses of their progenitors that produced the metals observed in their atmospheres. To pursue this objective it is necessary to treat large amounts of data. With an automatic procedure, we analysed objects with colours of Turn-Off stars from the Sloan Digital Sky Survey to select a sample of candidate EMP stars. During the French-Italian X-Shooter GTO, used as a pilot programme, we observed a small sample of these candidates. We could confirm the low metallicity of our sample of stars, and we succeeded in finding the present record metal-poor star: SDSS J102915+172927 with [M/H]=-5, Z<= 6.9x10^{-7}. This star shows no enhancement of CNO elements, as do the previously found extremely iron-poor stars and, surprisingly, shows no lithium.