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We perform a detailed study of the gamma-ray burst GRB091127/SN2009nz hostgalaxy at z=0.490 using the VLT/X-shooter spectrograph in slit andintegral-field unit (IFU). From the analysis of the optical and X-ray afterglowdata obtained from ground-based telescopes and Swift-XRT we confirm thepresence of a bump associated with SN2009nz and find evidence of a possible jetbreak in the afterglow lightcurve. The X-shooter afterglow spectra revealseveral emission lines from the underlying host, from which we derive itsintegrated properties. These are in agreement with those of previously studiedGRB-SN hosts and, more generally, with those of the long GRB host population.We use the Hubble Space Telescope and ground based images of the host todetermine its stellar mass (M_star). Our results extend to lower M_star valuesthe M-Z plot derived for the sample of long GRB hosts at 0.3<z<1.0 adding newinformation to probe the faint end of the M-Z relation and the shift of theLGRB host M-Z relation from that found from emission line galaxy surveys.Thanks to the IFU spectroscopy we can build the 2D velocity, velocitydispersion and star formation rate (SFR) maps. They show that the host galaxyhas a perturbed rotation kinematics with evidence of a SFR enhancementconsistent with the afterglow position.

GRB091127/SN2009nz and the VLT/X-shooter spectroscopy of its host galaxy: probing the faint end of the mass-metallicity relation