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Stellar mass has been shown to correlate with halo mass, with non-negligiblescatter. The stellar mass-size and luminosity-size relationships of galaxiesalso show significant scatter in galaxy size at fixed stellar mass. It ispossible that, at fixed stellar mass and galaxy colour, the halo mass iscorrelated with galaxy size. Galaxy-galaxy lensing allows us to measure themean masses of dark matter haloes for stacked samples of galaxies. We extendthe analysis of the galaxies in the CFHTLenS catalogue by fitting singleS\'{e}rsic surface brightness profiles to the lens galaxies in order to recoverhalf-light radius values, allowing us to determine halo masses for lensesaccording to their size. Comparing our halo masses and sizes to baselines forthat stellar mass yields a differential measurement of the halo mass-galaxysize relationship at fixed stellar mass, defined as $M_{h}(M_{*}) \proptor_{\mathrm{eff}}^{\eta}(M_{*})$. We find that on average, our lens galaxieshave an $\eta = 0.42\pm0.12$, i.e. larger galaxies live in more massive darkmatter haloes. The $\eta$ is strongest for high mass luminous red galaxies(LRGs). Investigation of this relationship in hydrodynamical simulationssuggests that, at a fixed $M_{*}$, satellite galaxies have a larger $\eta$ andgreater scatter in the $M_{\mathrm{h}}$ and $r_{\mathrm{eff}}$ relationshipcompared to central galaxies.

The Dependence of Halo Mass on Galaxy Size at Fixed Stellar Mass Using Weak Lensing