We present a model for the halo–mass correlation function that explicitly incorporates halo exclusion .
We assume that halos trace mass in a way that can be described using a single scale-independent bias parameter .
However , our model exhibits scale dependent biasing due to the impact of halo-exclusion , the use of a “ soft ” ( i.e .
not infinitely sharp ) halo boundary , and differences in the one halo term contributions to \xi _ { hm } and \xi _ { mm } .
These features naturally lead us to a redefinition of the halo boundary that lies at the “ by eye ” transition radius from the one–halo to the two–halo term in the halo–mass correlation function .
When adopting our proposed definition , our model succeeds in describing the halo–mass correlation function with \approx 2 \% residuals over the radial range 0.1 h ^ { -1 } { Mpc } < r < 80 h ^ { -1 } { Mpc } , and for halo masses in the range 10 ^ { 13 } h ^ { -1 } { M _ { \odot } } < M < 10 ^ { 15 } h ^ { -1 } { M _ { \odot } } .
Our proposed halo boundary is related to the splashback radius by a roughly constant multiplicative factor .
Taking the 87-percentile as reference we find r _ { t } / R _ { sp } \approx 1.3 .
Surprisingly , our proposed definition results in halo abundances that are well described by the Press-Schechter mass function with \delta _ { sc } = 1.449 \pm 0.004 .
The clustering bias parameter is offset from the standard background-split prediction by \approx 10 \% - 15 \% .
This level of agreement is comparable to that achieved with more standard halo definitions .