It is well known that the probability distribution function (PDF) of galaxy density contrast is approximately lognormal; whether the PDF of mass fluctuations derived from weak lensing convergence (kappa_WL) is lognormal is less well established. We derive PDFs of the galaxy and projected matter density distributions via the Counts in Cells (CiC) method. We use maps of galaxies and weak lensing convergence produced from the Dark Energy Survey (DES) Science Verification data over 139 deg^2. We test whether the underlying density contrast is well described by a lognormal distribution for the galaxies, the convergence and their joint PDF. We confirm that the galaxy density contrast distribution is well modeled by a lognormal PDF convolved with Poisson noise at angular scales from 10-40 arcmin (corresponding to physical scales of 3-10 Mpc). We note that as kappa_WL is a weighted sum of the mass fluctuations along the line of sight, its PDF is expected to be only approximately lognormal. We find that the kappa_WL distribution is well modeled by a lognormal PDF convolved with Gaussian shape noise at scales between 10 and 20 arcmin, with a best-fit chi^2/DOF of 1.11 compared to 1.84 for a Gaussian model, corresponding to p-values 0.35 andmore »

- Authors:
- ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »

- Publication Date:

- Report Number(s):
- FERMILAB-PUB-16-161-AE; arXiv:1605.02036

Journal ID: ISSN 0035-8711; 1456127

- Grant/Contract Number:
- AC02-07CH11359; 291329; AC02-76SF00515; AC05-00OR22725

- Type:
- Accepted Manuscript

- Journal Name:
- Monthly Notices of the Royal Astronomical Society

- Additional Journal Information:
- Journal Volume: 466; Journal Issue: 2; Journal ID: ISSN 0035-8711

- Publisher:
- Royal Astronomical Society

- Research Org:
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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

- Contributing Orgs:
- DES Collaboration

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; gravitational lensing: weak; cosmology: observations; large-scale structure of Universe

- OSTI Identifier:
- 1352544

- Alternate Identifier(s):
- OSTI ID: 1288751; OSTI ID: 1352813

```
Clerkin, L., Kirk, D., Manera, M., Lahav, O., Abdalla, F., Amara, A., Bacon, D., Chang, C., Gaztañaga, E., Hawken, A., Jain, B., Joachimi, B., Vikram, V., Abbott, T., Allam, S., Armstrong, R., Benoit-Lévy, A., Bernstein, G. M., Bernstein, R. A., Bertin, E., Brooks, D., Burke, D. L., Rosell, A. Carnero, Carrasco Kind, M., Crocce, M., Cunha, C. E., D'Andrea, C. B., da Costa, L. N., Desai, S., Diehl, H. T., Dietrich, J. P., Eifler, T. F., Evrard, A. E., Flaugher, B., Fosalba, P., Frieman, J., Gerdes, D. W., Gruen, D., Gruendl, R. A., Gutierrez, G., Honscheid, K., James, D. J., Kent, S., Kuehn, K., Kuropatkin, N., Lima, M., Melchior, P., Miquel, R., Nord, B., Plazas, A. A., Romer, A. K., Roodman, A., Sanchez, E., Schubnell, M., Sevilla-Noarbe, I., Smith, R. C., Soares-Santos, M., Sobreira, F., Suchyta, E., Swanson, M. E. C., Tarle, G., and Walker, A. R..
```*Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps*. United States: N. p.,
Web. doi:10.1093/mnras/stw2106.

```
Clerkin, L., Kirk, D., Manera, M., Lahav, O., Abdalla, F., Amara, A., Bacon, D., Chang, C., Gaztañaga, E., Hawken, A., Jain, B., Joachimi, B., Vikram, V., Abbott, T., Allam, S., Armstrong, R., Benoit-Lévy, A., Bernstein, G. M., Bernstein, R. A., Bertin, E., Brooks, D., Burke, D. L., Rosell, A. Carnero, Carrasco Kind, M., Crocce, M., Cunha, C. E., D'Andrea, C. B., da Costa, L. N., Desai, S., Diehl, H. T., Dietrich, J. P., Eifler, T. F., Evrard, A. E., Flaugher, B., Fosalba, P., Frieman, J., Gerdes, D. W., Gruen, D., Gruendl, R. A., Gutierrez, G., Honscheid, K., James, D. J., Kent, S., Kuehn, K., Kuropatkin, N., Lima, M., Melchior, P., Miquel, R., Nord, B., Plazas, A. A., Romer, A. K., Roodman, A., Sanchez, E., Schubnell, M., Sevilla-Noarbe, I., Smith, R. C., Soares-Santos, M., Sobreira, F., Suchyta, E., Swanson, M. E. C., Tarle, G., & Walker, A. R..
```*Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps*. United States. doi:10.1093/mnras/stw2106.

```
Clerkin, L., Kirk, D., Manera, M., Lahav, O., Abdalla, F., Amara, A., Bacon, D., Chang, C., Gaztañaga, E., Hawken, A., Jain, B., Joachimi, B., Vikram, V., Abbott, T., Allam, S., Armstrong, R., Benoit-Lévy, A., Bernstein, G. M., Bernstein, R. A., Bertin, E., Brooks, D., Burke, D. L., Rosell, A. Carnero, Carrasco Kind, M., Crocce, M., Cunha, C. E., D'Andrea, C. B., da Costa, L. N., Desai, S., Diehl, H. T., Dietrich, J. P., Eifler, T. F., Evrard, A. E., Flaugher, B., Fosalba, P., Frieman, J., Gerdes, D. W., Gruen, D., Gruendl, R. A., Gutierrez, G., Honscheid, K., James, D. J., Kent, S., Kuehn, K., Kuropatkin, N., Lima, M., Melchior, P., Miquel, R., Nord, B., Plazas, A. A., Romer, A. K., Roodman, A., Sanchez, E., Schubnell, M., Sevilla-Noarbe, I., Smith, R. C., Soares-Santos, M., Sobreira, F., Suchyta, E., Swanson, M. E. C., Tarle, G., and Walker, A. R.. 2016.
"Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps". United States.
doi:10.1093/mnras/stw2106. https://www.osti.gov/servlets/purl/1352544.
```

```
@article{osti_1352544,
```

title = {Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps},

author = {Clerkin, L. and Kirk, D. and Manera, M. and Lahav, O. and Abdalla, F. and Amara, A. and Bacon, D. and Chang, C. and Gaztañaga, E. and Hawken, A. and Jain, B. and Joachimi, B. and Vikram, V. and Abbott, T. and Allam, S. and Armstrong, R. and Benoit-Lévy, A. and Bernstein, G. M. and Bernstein, R. A. and Bertin, E. and Brooks, D. and Burke, D. L. and Rosell, A. Carnero and Carrasco Kind, M. and Crocce, M. and Cunha, C. E. and D'Andrea, C. B. and da Costa, L. N. and Desai, S. and Diehl, H. T. and Dietrich, J. P. and Eifler, T. F. and Evrard, A. E. and Flaugher, B. and Fosalba, P. and Frieman, J. and Gerdes, D. W. and Gruen, D. and Gruendl, R. A. and Gutierrez, G. and Honscheid, K. and James, D. J. and Kent, S. and Kuehn, K. and Kuropatkin, N. and Lima, M. and Melchior, P. and Miquel, R. and Nord, B. and Plazas, A. A. and Romer, A. K. and Roodman, A. and Sanchez, E. and Schubnell, M. and Sevilla-Noarbe, I. and Smith, R. C. and Soares-Santos, M. and Sobreira, F. and Suchyta, E. and Swanson, M. E. C. and Tarle, G. and Walker, A. R.},

abstractNote = {It is well known that the probability distribution function (PDF) of galaxy density contrast is approximately lognormal; whether the PDF of mass fluctuations derived from weak lensing convergence (kappa_WL) is lognormal is less well established. We derive PDFs of the galaxy and projected matter density distributions via the Counts in Cells (CiC) method. We use maps of galaxies and weak lensing convergence produced from the Dark Energy Survey (DES) Science Verification data over 139 deg^2. We test whether the underlying density contrast is well described by a lognormal distribution for the galaxies, the convergence and their joint PDF. We confirm that the galaxy density contrast distribution is well modeled by a lognormal PDF convolved with Poisson noise at angular scales from 10-40 arcmin (corresponding to physical scales of 3-10 Mpc). We note that as kappa_WL is a weighted sum of the mass fluctuations along the line of sight, its PDF is expected to be only approximately lognormal. We find that the kappa_WL distribution is well modeled by a lognormal PDF convolved with Gaussian shape noise at scales between 10 and 20 arcmin, with a best-fit chi^2/DOF of 1.11 compared to 1.84 for a Gaussian model, corresponding to p-values 0.35 and 0.07 respectively, at a scale of 10 arcmin. Above 20 arcmin a simple Gaussian model is sufficient. The joint PDF is also reasonably fitted by a bivariate lognormal. As a consistency check we compare the variances derived from the lognormal modelling with those directly measured via CiC. Our methods are validated against maps from the MICE Grand Challenge N-body simulation.},

doi = {10.1093/mnras/stw2106},

journal = {Monthly Notices of the Royal Astronomical Society},

number = 2,

volume = 466,

place = {United States},

year = {2016},

month = {8}

}