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We conduct a detailed lensing, dynamics and stellar population analysis ofnine massive lens early-type galaxies (ETGs) from the X-Shooter Lens Survey(XLENS). Combining gravitational lensing constraints from HST imaging withspatially-resolved kinematics and line-indices constraints from VLT X-Shooter(XSH) spectra, we infer the low-mass slope and the low cut-off mass of thestellar Initial Mass Function (IMF): $x_{250}=2.37^{+0.12}_{-0.12}$ and$M_{{\rm low}, 250}= 0.131^{+0.023}_{-0.026}\, M_{\odot}$, respectively, for areference point with $\sigma \equiv 250\, {{\rm kms}}^{-1}$ and R$_{{\rm eff}}\equiv 10$ kpc. All the XLENS systems are consistent with an IMF slope steeperthan Milky Way-like. We find no significant correlations between IMF slope andany other quantity, except for an anti-correlation between total dynamical massdensity and low-mass IMF slope at the 87% CL [$dx/d\log(\rho)$ = $-0.19^{+0.15}_{-0.15}$]. This anti-correlation is consistent with the lowredshift lenses found by Smith et al. (2015) that have high velocitydispersions and high stellar mass densities but surprisingly shallow IMFslopes.

Are the total mass density and the low-mass end slope of the IMF anti-correlated?