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Using deep images from the Hyper Suprime-Cam (HSC) survey and takingadvantage of its unprecedented weak lensing capabilities, we reveal aremarkably tight connection between the stellar mass distribution of massivecentral galaxies and their host dark matter halo mass. Massive galaxies withmore extended stellar mass distributions tend to live in more massive darkmatter haloes. We explain this connection with a phenomenological model thatassumes, (1) a tight relation between the halo mass and the total stellarcontent in the halo, (2) that the fraction of in-situ and ex-situ mass at$r<10$ kpc depends on halo mass. This model provides an excellent descriptionof the stellar mass functions (SMF) of total stellar mass ($M_{\star}^{\rmMax}$) and stellar mass within inner 10 kpc ($M_{\star}^{10}$) and alsoreproduces the HSC weak lensing signals of massive galaxies with differentstellar mass distributions. The best-fit model shows that halo mass variessignificantly at fixed total stellar mass (as much as 0.4 dex) with a cleardependence on $M_{\star}^{10}$. Our two-parameter $M_{\star}^{\rmMax}$-$M_{\star}^{10}$ description provides a more accurate picture of thegalaxy-halo connection at the high-mass end than the simple stellar-halo massrelation (SHMR) and opens a new window to connect the assembly history of haloswith those of central galaxies. The model also predicts that the ex-situcomponent dominates the mass profiles of galaxies at $r< 10$ kpc for $\logM_{\star} \ge 11.7$). The code used for this paper is available online:https://github.com/dr-guangtou/asap

Weak Lensing Reveals a Tight Connection Between Dark Matter Halo Mass and the Distribution of Stellar Mass in Massive Galaxies