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Title: The Aemulus Project. II. Emulating the Halo Mass Function

Abstract

Existing models for the dependence of the halo mass function on cosmological parameters will become a limiting source of systematic uncertainty for cluster cosmology in the near future. We present a halo mass function emulator and demonstrate improved accuracy relative to state-of-the-art analytic models. In this work, mass is defined using an overdensity criteria of 200 relative to the mean background density. Our emulator is constructed from the Aemulus simulations, a suite of 40 N-body simulations with snapshots from z = 3 to z = 0. These simulations cover the flat wCDM parameter space allowed by recent cosmic microwave background, baryon acoustic oscillation and SNe Ia results, varying the parameters w, Ω m, Ω b, σ 8, N eff, n s, and H 0. We validate our emulator using five realizations of seven different cosmologies, for a total of 35 test simulations. These test simulations were not used in constructing the emulator, and were run with fully independent initial conditions. We use our test simulations to characterize the modeling uncertainty of the emulator, and introduce a novel way of marginalizing over the associated systematic uncertainty. We confirm nonuniversality in our halo mass function emulator as a function of both cosmologicalmore » parameters and redshift. As a result, our emulator achieves better than 1% precision over much of the relevant parameter space, and we demonstrate that the systematic uncertainty in our emulator will remain a negligible source of error for cluster abundance studies through at least the LSST Year 1 data set.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [3];  [5]; ORCiD logo [3]; ORCiD logo [5]
  1. Univ. of Arizona, Tucson, AZ (United States)
  2. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Stanford, CA (United States); Civic Analytics, Chicago, IL (United States)
  3. Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Stanford, CA (United States)
  4. Univ. of Pittsburgh, Pittsburgh, PA (United States)
  5. New York Univ., New York, NY (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1506961
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 872; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; large-scale structure of universe; methods: numerical; methods: statistical

Citation Formats

McClintock, Thomas, Rozo, Eduardo, Becker, Matthew R., DeRose, Joseph, Mao, Yao -Yuan, McLaughlin, Sean, Tinker, Jeremy L., Wechsler, Risa H., and Zhai, Zhongxu. The Aemulus Project. II. Emulating the Halo Mass Function. United States: N. p., 2019. Web. doi:10.3847/1538-4357/aaf568.
McClintock, Thomas, Rozo, Eduardo, Becker, Matthew R., DeRose, Joseph, Mao, Yao -Yuan, McLaughlin, Sean, Tinker, Jeremy L., Wechsler, Risa H., & Zhai, Zhongxu. The Aemulus Project. II. Emulating the Halo Mass Function. United States. doi:10.3847/1538-4357/aaf568.
McClintock, Thomas, Rozo, Eduardo, Becker, Matthew R., DeRose, Joseph, Mao, Yao -Yuan, McLaughlin, Sean, Tinker, Jeremy L., Wechsler, Risa H., and Zhai, Zhongxu. Fri . "The Aemulus Project. II. Emulating the Halo Mass Function". United States. doi:10.3847/1538-4357/aaf568.
@article{osti_1506961,
title = {The Aemulus Project. II. Emulating the Halo Mass Function},
author = {McClintock, Thomas and Rozo, Eduardo and Becker, Matthew R. and DeRose, Joseph and Mao, Yao -Yuan and McLaughlin, Sean and Tinker, Jeremy L. and Wechsler, Risa H. and Zhai, Zhongxu},
abstractNote = {Existing models for the dependence of the halo mass function on cosmological parameters will become a limiting source of systematic uncertainty for cluster cosmology in the near future. We present a halo mass function emulator and demonstrate improved accuracy relative to state-of-the-art analytic models. In this work, mass is defined using an overdensity criteria of 200 relative to the mean background density. Our emulator is constructed from the Aemulus simulations, a suite of 40 N-body simulations with snapshots from z = 3 to z = 0. These simulations cover the flat wCDM parameter space allowed by recent cosmic microwave background, baryon acoustic oscillation and SNe Ia results, varying the parameters w, Ω m, Ω b, σ 8, N eff, n s, and H 0. We validate our emulator using five realizations of seven different cosmologies, for a total of 35 test simulations. These test simulations were not used in constructing the emulator, and were run with fully independent initial conditions. We use our test simulations to characterize the modeling uncertainty of the emulator, and introduce a novel way of marginalizing over the associated systematic uncertainty. We confirm nonuniversality in our halo mass function emulator as a function of both cosmological parameters and redshift. As a result, our emulator achieves better than 1% precision over much of the relevant parameter space, and we demonstrate that the systematic uncertainty in our emulator will remain a negligible source of error for cluster abundance studies through at least the LSST Year 1 data set.},
doi = {10.3847/1538-4357/aaf568},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 872,
place = {United States},
year = {2019},
month = {2}
}

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