Existence of a Planck18 SHAM that simultaneously fits n and w_p

Determine whether a subhalo abundance matching model within Planck18 cosmology exists that simultaneously fits both the PAC-measured excess surface density n and the projected two-point correlation function w_p across the relevant stellar-mass bins, or else identify the specific modifications required to achieve simultaneous agreement.

Background

The authors find a ≈15% internal tension between the galaxy stellar mass function implied by PAC-based n and the clustering w_p when modeling within Planck18 cosmology. Tests with maximal galaxy assembly bias and modest cosmological shifts (e.g., to WMAP9-like parameters) reduce but do not eliminate the discrepancy.

Their analysis concludes that, under Planck18, their SHAM framework cannot simultaneously match both n and w_p, motivating an explicit question about the existence of a joint fit and what changes (e.g., cosmology, effective redshift determination, or other modeling ingredients) would be necessary.

References

In other words, within Planck18 cosmology we are unable to find a SHAM model that simultaneously fits both $n$ and ${()$, indicating a degree of internal tension.

PAC in DESI. II. Galaxy-halo connection into the $10^{6}{\rm M}_{\odot}$ frontier  (2603.29331 - Xu et al., 31 Mar 2026) in Section 4.6 (Effects of galaxy assembly bias)