# Cosmology with photometric weak lensing surveys: Constraints with redshift tomography of convergence peaks and moments

## Abstract

Weak gravitational lensing is becoming a mature technique for constraining cosmological parameters, and future surveys will be able to constrain the dark energy equation of state w. When analyzing galaxy surveys, redshift information has proven to be a valuable addition to angular shear correlations. We forecast parameter constraints on the triplet (Ω _{m},w,σ _{8}) for a LSST-like photometric galaxy survey, using tomography of the shear-shear power spectrum, convergence peak counts and higher convergence moments. Here we find that redshift tomography with the power spectrum reduces the area of the 1σ confidence interval in (Ω _{m},w) space by a factor of 8 with respect to the case of the single highest redshift bin. We also find that adding non-Gaussian information from the peak counts and higher-order moments of the convergence field and its spatial derivatives further reduces the constrained area in (Ω _{m},w) by factors of 3 and 4, respectively. When we add cosmic microwave background parameter priors from Planck to our analysis, tomography improves power spectrum constraints by a factor of 3. Adding moments yields an improvement by an additional factor of 2, and adding both moments and peaks improves by almost a factor of 3 over power spectrum tomographymore »

- Authors:

- Columbia Univ., New York, NY (United States). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
- Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
- Columbia Univ., New York, NY (United States). Dept. of Astronomy

- Publication Date:

- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1336177

- Alternate Identifier(s):
- OSTI ID: 1327931

- Report Number(s):
- BNL-113176-2016-JA

Journal ID: ISSN 2470-0010; PRVDAQ; KA2301020

- Grant/Contract Number:
- SC0012704; ACI-1053575; AST-1210877; SC00112704

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 6; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS

### Citation Formats

```
Petri, Andrea, May, Morgan, and Haiman, Zoltán.
```*Cosmology with photometric weak lensing surveys: Constraints with redshift tomography of convergence peaks and moments*. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.94.063534.

```
Petri, Andrea, May, Morgan, & Haiman, Zoltán.
```*Cosmology with photometric weak lensing surveys: Constraints with redshift tomography of convergence peaks and moments*. United States. doi:10.1103/PhysRevD.94.063534.

```
Petri, Andrea, May, Morgan, and Haiman, Zoltán. Fri .
"Cosmology with photometric weak lensing surveys: Constraints with redshift tomography of convergence peaks and moments". United States.
doi:10.1103/PhysRevD.94.063534. https://www.osti.gov/servlets/purl/1336177.
```

```
@article{osti_1336177,
```

title = {Cosmology with photometric weak lensing surveys: Constraints with redshift tomography of convergence peaks and moments},

author = {Petri, Andrea and May, Morgan and Haiman, Zoltán},

abstractNote = {Weak gravitational lensing is becoming a mature technique for constraining cosmological parameters, and future surveys will be able to constrain the dark energy equation of state w. When analyzing galaxy surveys, redshift information has proven to be a valuable addition to angular shear correlations. We forecast parameter constraints on the triplet (Ωm,w,σ8) for a LSST-like photometric galaxy survey, using tomography of the shear-shear power spectrum, convergence peak counts and higher convergence moments. Here we find that redshift tomography with the power spectrum reduces the area of the 1σ confidence interval in (Ωm,w) space by a factor of 8 with respect to the case of the single highest redshift bin. We also find that adding non-Gaussian information from the peak counts and higher-order moments of the convergence field and its spatial derivatives further reduces the constrained area in (Ωm,w) by factors of 3 and 4, respectively. When we add cosmic microwave background parameter priors from Planck to our analysis, tomography improves power spectrum constraints by a factor of 3. Adding moments yields an improvement by an additional factor of 2, and adding both moments and peaks improves by almost a factor of 3 over power spectrum tomography alone. We evaluate the effect of uncorrected systematic photometric redshift errors on the parameter constraints. In conclusion, we find that different statistics lead to different bias directions in parameter space, suggesting the possibility of eliminating this bias via self-calibration.},

doi = {10.1103/PhysRevD.94.063534},

journal = {Physical Review D},

number = 6,

volume = 94,

place = {United States},

year = {Fri Sep 30 00:00:00 EDT 2016},

month = {Fri Sep 30 00:00:00 EDT 2016}

}

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