The Mira-Titan Universe. II. Matter Power Spectrum Emulation

We introduce a new cosmic emulator for the matter power spectrum covering eight cosmological parameters. Targeted at optical surveys, the emulator provides accurate predictions out to a wavenumber Mpc−1 and redshift . In addition to covering the standard set of ΛCDM parameters, massive neutrinos and a dynamical dark energy of state are included. The emulator is built on a sample set of 36 cosmological models, carefully chosen to provide accurate predictions over the wide and large parameter space. For each model, we have performed a high-resolution simulation, augmented with 16 medium-resolution simulations and TimeRG perturbation theory results to provide accurate coverage over a wide k-range; the data set generated as part of this project is more than 1.2Pbytes. With the current set of simulated models, we achieve an accuracy of approximately 4%. Because the sampling approach used here has established convergence and error-control properties, follow-up results with more than a hundred cosmological models will soon achieve accuracy. We compare our approach with other prediction schemes that are based on halo model ideas and remapping approaches. The new emulator code is publicly available.

[1]  Daniel Thomas,et al.  Cosmology from large-scale galaxy clustering and galaxy-galaxy lensing with dark energy survey science verification data , 2016, 1604.07871.

[2]  Yin Li,et al.  Quintessential scale dependence from separate universe simulations , 2016, 1609.01701.

[3]  Yin Li,et al.  Separating the Universe into real and fake energy densities , 2016 .

[4]  T. Prusti,et al.  Kinematics of symmetric Galactic longitudes to probe the spiral arms of the Milky Way with Gaia , 2016, 1602.07687.

[5]  C. Heymans,et al.  Accurate halo-model matter power spectra with dark energy, massive neutrinos and modified gravitational forces , 2016, 1602.02154.

[6]  L. Casarini,et al.  Extending the Coyote emulator to dark energy models with standard w0-wa parametrization of the equation of state , 2016, 1601.07230.

[7]  C. B. D'Andrea,et al.  Cosmology from cosmic shear with Dark Energy Survey science verification data , 2015, 1507.05552.

[8]  Hal Finkel,et al.  HACC: Simulating Sky Surveys on State-of-the-Art Supercomputing Architectures , 2014, 1410.2805.

[9]  Hal Finkel,et al.  THE MIRA–TITAN UNIVERSE: PRECISION PREDICTIONS FOR DARK ENERGY SURVEYS , 2015, 1508.02654.

[10]  Shahab Joudaki,et al.  An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models , 2015, 1505.07833.

[11]  J. Harnois-Déraps,et al.  Precision reconstruction of the cold dark matter-neutrino relative velocity from N -body simulations , 2015, 1503.07480.

[12]  S. Bridle,et al.  Cosmic Discordance: Are Planck CMB and CFHTLenS weak lensing measurements out of tune? , 2014, 1408.4742.

[13]  Scott Dodelson,et al.  Accounting for baryonic effects in cosmic shear tomography: determining a minimal set of nuisance parameters using PCA , 2014, 1405.7423.

[14]  Hal Finkel,et al.  COSMIC EMULATION: FAST PREDICTIONS FOR THE GALAXY POWER SPECTRUM , 2013, 1311.6444.

[15]  Mark Trodden,et al.  Beyond the Cosmological Standard Model , 2014, 1407.0059.

[16]  H. Hoekstra,et al.  3D cosmic shear: cosmology from CFHTLenS , 2014, 1401.6842.

[17]  Shaun A. Thomas,et al.  pkann – II. A non-linear matter power spectrum interpolator developed using artificial neural networks , 2013, 1312.2101.

[18]  R. Biswas,et al.  Large-scale structure formation with massive neutrinos and dynamical dark energy , 2013, 1309.5872.

[19]  C. A. Oxborrow,et al.  Planck 2013 results. XVI. Cosmological parameters , 2013, 1303.5076.

[20]  Earl Lawrence,et al.  THE COYOTE UNIVERSE EXTENDED: PRECISION EMULATION OF THE MATTER POWER SPECTRUM , 2013, 1304.7849.

[21]  Scott Dodelson,et al.  Accounting for Baryons in Cosmological Constraints from Cosmic Shear , 2012, 1212.1177.

[22]  Katrin Heitmann,et al.  COSMIC EMULATION: THE CONCENTRATION–MASS RELATION FOR wCDM UNIVERSES , 2012, 1210.1576.

[23]  G. Bruce Berriman,et al.  Astrophysics Source Code Library , 2012, ArXiv.

[24]  Takahiro Nishimichi,et al.  REVISING THE HALOFIT MODEL FOR THE NONLINEAR MATTER POWER SPECTRUM , 2012, 1208.2701.

[25]  Daniel Thomas,et al.  The clustering of galaxies in the sdss-iii baryon oscillation spectroscopic survey: Baryon acoustic oscillations in the data release 9 spectroscopic galaxy sample , 2012, 1312.4877.

[26]  Steven Bergner,et al.  Making choices in multi-dimensional parameter spaces , 2011 .

[27]  M. Viel,et al.  Massive neutrinos and the non‐linear matter power spectrum , 2011, 1109.4416.

[28]  H. Feldman,et al.  The effect of massive neutrinos on the matter power spectrum , 2010, 1006.0689.

[29]  Jonathan L. Feng Dark Matter Candidates from Particle Physics and Methods of Detection , 2010, 1003.0904.

[30]  Earl Lawrence,et al.  THE COYOTE UNIVERSE. III. SIMULATION SUITE AND PRECISION EMULATOR FOR THE NONLINEAR MATTER POWER SPECTRUM , 2009, 0912.4490.

[31]  M. Kamionkowski,et al.  The Physics of Cosmic Acceleration , 2009, 0903.0866.

[32]  David Higdon,et al.  THE COYOTE UNIVERSE. II. COSMOLOGICAL MODELS AND PRECISION EMULATION OF THE NONLINEAR MATTER POWER SPECTRUM , 2009, 0902.0429.

[33]  D. Higdon,et al.  THE COYOTE UNIVERSE. I. PRECISION DETERMINATION OF THE NONLINEAR MATTER POWER SPECTRUM , 2008, 0812.1052.

[34]  D. Higdon,et al.  Cosmic calibration: Constraints from the matter power spectrum and the cosmic microwave background , 2007, astro-ph/0702348.

[35]  E. Linder Exploring the expansion history of the universe. , 2002, Physical review letters.

[36]  J. Peacock,et al.  Stable clustering, the halo model and non-linear cosmological power spectra , 2002, astro-ph/0207664.

[37]  M. Chevallier,et al.  ACCELERATING UNIVERSES WITH SCALING DARK MATTER , 2000, gr-qc/0009008.

[38]  A. Lewis,et al.  Efficient computation of CMB anisotropies in closed FRW models , 1999, astro-ph/9911177.

[39]  G. Murante,et al.  Cluster Mass Function in Mixed Models , 1999, astro-ph/9905281.

[40]  J. Holtzman,et al.  Structure formation with cold plus hot dark matter , 1993, astro-ph/9305011.