On the road to precision cosmology with high-redshift H II galaxies

We report the first results of a programme aimed at studying the properties of high-redshift galaxies with ongoing massive and dominant episodes of star formation (H II galaxies). We use the L(H beta)-sigma distance estimator based on the correlation between the ionized gas velocity dispersions and Balmer emission line luminosities of H II galaxies and Giant H II regions to trace the expansion of the Universe up to z similar to 2.33. This approach provides an independent constraint on the equation of state of dark energy and its possible evolution with look-back time. Here we present high-dispersion (8000 to 10 000 resolution) spectroscopy of H II galaxies at redshifts between 0.6 and 2.33, obtained at the Very Large Telescope (VLT) using XShooter. Using six of these H II galaxies we obtain broad constraints on the plane Omega(m)-w(0). The addition of 19 high-z H II galaxies from the literature improves the constraints and highlights the need for high-quality emission line profiles, fluxes and reddening corrections. The 25 high-z H II galaxies plus our local compilation of 107 H II galaxies up to z = 0.16 were used to impose further constraints. Our results are consistent with recent studies, although weaker due to the as yet small sample and low quality of the literature data of high-z H II galaxies. We show that much better and competitive constraints can be obtained using a larger sample of high-redshift H II galaxies with high quality data that can be easily obtained with present facilities like K-band Multi Object Spactrograph (KMOS) at the VLT.