• DOI:10.1103/PhysRevD.98.023508
• Corpus ID: 115133648

Density split statistics: Joint model of counts and lensing in cells

@article{Friedrich2018DensitySS,
  title={Density split statistics: Joint model of counts and lensing in cells},
  author={Oliver Friedrich and Daniel Gruen and Joseph DeRose and Donnacha Kirk and E. Krause and Thomas McClintock and Eli S. Rykoff and Stella Seitz and Risa H. Wechsler and Gary M. Bernstein and Jonathan A. Blazek and C. L. Chang and Stefan Hilbert and B. Jain and Attila Kovacs and Ofer Lahav and Filipe B. Abdalla and Sahar Allam and James T. Annis and Keith C. Bechtol and Aur{\'e}lien Benoit-L{\'e}vy and Emmanuel Bertin and David Brooks and Aurelio Carnero Rosell and Matias Carrasco Kind and Jorge Carretero and Carlos E. Cunha and Chris D'Andrea and Luiz Nicolaci da Costa and C. Davis and Shantanu Desai and H. Thomas Diehl and J. P. Dietrich and Alex Drlica-Wagner and T. F. Eifler and Pablo Fosalba and Joshua A. Frieman and Juan Garc{\'i}a-Bellido and Enrique Gazta{\~n}aga and David W. Gerdes and T. Giannantonio and Robert A. Gruendl and Julia Gschwend and Gaston R. Guti{\'e}rrez and Klaus Honscheid and David J. James and Michael Jarvis and Kyler W. Kuehn and Nikolay Kuropatkin and Marcos Lima and M March and Jennifer L. Marshall and Peter Melchior and Felipe Menanteau and Ramon Miquel and Joseph J. Mohr and Brian Nord and Andreas Alejandro Plazas and Eusebio S{\'a}nchez and Victor E. Scarpine and Rafe H. Schindler and Michael S. Schubnell and Ignacio Sevilla-Noarbe and Erin Sheldon and M. Smith and Marcelle Soares-Santos and Flavia Sobreira and Eric Suchyta and Mollye E. C. Swanson and Gregory G. Tarl{\'e} and D. Thomas and Michael Troxel and Vinu Vikram and Jochen Weller},
  journal={Physical Review D},
  year={2018}
}

• O. Friedrich, D. Gruen, +71 authors J. Weller
• Published 14 October 2017
• Physics
• Physical Review D

We present density split statistics, a framework that studies lensing and counts-in-cells as a function of foreground galaxy density, thereby providing a large-scale measurement of both 2-point and 3-point statistics. Our method extends our earlier work on trough lensing and is summarized as follows: given a foreground (low redshift) population of galaxies, we divide the sky into subareas of equal size but distinct galaxy density. We then measure lensing around uniformly spaced points separately in each of these subareas, as well as counts-in-cells statistics (CiC). The lensing signals trace the matter density contrast around regions of fixed galaxy density. Through the CiC measurements this can be related to the density profile around regions of fixed matter density. Together, these measurements constitute a powerful probe of cosmology, the skewness of the density field and the connection of galaxies and matter. In this paper we show how to model both the density split lensing signal and CiC from basic ingredients: a non-linear power spectrum, clustering hierarchy coefficients from perturbation theory and a parametric model for galaxy bias and shot-noise. Using N-body simulations, we demonstrate that this model is sufficiently accurate for a cosmological analysis on year 1 data from the Dark Energy Survey.