Initial Mass Function for Massive Galaxies at z$\sim$1

Abstract: We present the results on the stellar Initial Mass Function (IMF) normalisation of 68 massive ($M_\ast=10^{11}-10^{12}$$M_\odot$) Early-Type Galaxies (ETGs) at redshift of $\sim$1. This was achieved by deriving the stellar Mass-to-Light ratio (M/L) of the galaxies through axis-symmetric dynamical modelling and comparing it to the same derived via stellar population modelling through full spectrum fitting. The study also employs an Abundance Matching technique to account for the dark matter within the galaxies. The results demonstrate that massive ETGs at high redshifts on average have a Salpeter-like IMF normalisation, while providing observational evidence supporting previous predictions of low dark matter fraction in the inner regions ($\lesssim$ 1R$_{\rm e}$) of galaxies at higher redshift.