I provide multipole moments of the redshift-space power spectrum measured from mock galaxies created on this webpage.

- Simulations are done in periodic comoving cubes with the side length of 3840Mpc/h with 3072^3 particles.
- I assume a flat Lambda-CDM cosmology. Omega_nu is set to be zero.
- I do not tell you the 3 cosmological parameters Om, H0 and sigma8 (or As @ k0 = 0.05[1/Mpc]).
- These 3 parameters are drawn randomly around the Planck cosmology.
- Other parameters are set to Planck 2018 (fb = Ob/Om = 0.1571, ns=0.9649).
- To be precise, I provide the parameter file for CAMB which is used to compute the linear power spectrum, with the parameters relevant to the challenge erased. You can download it from here.
- I assume a flat Lambda-CDM cosmology with Om=0.3 to simulate the Alcock-Paczynski effect: the simulation cube is artificially distorted according to the ratio of the angular diameter distance (x and y direction) or the Hubble parameter (z direction) for the true and the assumed (Om=0.3) cosmology.
- The mock galaxies are created based on Rockstar (which detects both central and satellite halos) and a simple selection scheme is implemented to roughly match to the BOSS data (the monopole moment, especially. See below.).
- The HOD of the resultant galaxy catalog is also tested and found to be similar to what is usually assumed in the literature.
- The standard 1/n shot-noise contribution is already subtracted from the signal.
- Data is available at z=0.61 (CMASS2), z=0.51 (CMASS1) and z=0.38 (LOWZ). Other snapshots are also kept for testing purposes (at z=3, 2 and 1, but not analyzed yet.).
- I assume Gaussianity to estimate the covariance matrix; ignore the covariace between different k-bins, but different multipoles have covariance at the same k-bin.
- 2 types of covariance matrices are provided. One is for BOSS data (scaled according to the volume and the number density) and the other is for the simulation itself. The latter is extremely small because of the large box size.

- Halo mass function and HOD (average over the 10 realizations)

- Multipole moments (average over the 10 realizations)

The shaded region are the estimated 1-sigma regions assuming the BOSS parameters around the simulation data.

The triangle symbols are from Buetler et al. (arXiv:1607.03150) for the North and South Galactic Cap.

Data files are formatted as:

- column #1: k[h/Mpc]
- column #2: P0[(Mpc/h)^3] (monopole)
- column #3: P2[(Mpc/h)^3] (quadrupole)
- column #4: P4[(Mpc/h)^3] (hexadecapole)
- column #5: Cov_00 (scaled to BOSS parameters)
- column #6: Cov_22 (scaled to BOSS parameters)
- column #7: Cov_44 (scaled to BOSS parameters)
- column #8: Cov_02 (scaled to BOSS parameters)
- column #9: Cov_04 (scaled to BOSS parameters)
- column #10: Cov_24 (scaled to BOSS parameters)
- column #11: Cov_00 (from the simulation volume and number density)
- column #12: Cov_22 (from the simulation volume and number density)
- column #13: Cov_44 (from the simulation volume and number density)
- column #14: Cov_02 (from the simulation volume and number density)
- column #15: Cov_04 (from the simulation volume and number density)
- column #16: Cov_24 (from the simulation volume and number density)

They can be retrieved from the following links:

- CMASS2 (z=0.61): realization #001, realization #002, realization #003, realization #004, realization #005, realization #006, realization #007, realization #008, realization #009, realization #010
- CMASS1 (z=0.51): realization #001, realization #002, realization #003, realization #004, realization #005, realization #006, realization #007, realization #008, realization #009, realization #010
- LOWZ (z=0.38): realization #001, realization #002, realization #003, realization #004, realization #005, realization #006, realization #007, realization #008, realization #009, realization #010

Participants | Model | Reference | Submitted on | Blind analysis | ||||
---|---|---|---|---|---|---|---|---|

Mikhail Ivanov, Marko SimonoviÄ‡, Matias Zaldarriaga | EFT 1-loop (see the challenge paper for detail) | 0.12 | arXiv:2003.08277 (East Coast Team) | May 24th 2019 | Yes | |||

Guido D'Amico, Leonardo Senatore and Pierre Zhang | EFT 1-loop (see the challenge paper for detail) | 0.12 | arXiv:2003.08277 (West Coast Team) | Jun 4th 2019 | Yes | |||

Shi-Fan Chen, Zvonimir Vlah, Martin White | MONE: Moment expansion using the first two pairwise-velocity moments at one-loop order + counterterm ansatz for the third moment. Non-cosmological parameters: bias (b1, b2, bs, third order set to zero), one counterterm per multipole, two stochastic terms (constant + k^2 mu^2). The counterterm ansatz set to zero because it is degenerate with the two multipole counterterms. | 0.12 | Model description in arXiv:2005.00523, challenge results in arXiv:2012.04636 | July 11th 2020 | Yes | |||

REPT: EPT with IR-resummation based on wiggle/no-wiggle split. Bias choice same as the above (third-order bias assumed to correspond to zero Lagrangian bias) | 0.12 | |||||||

Shi-Fan Chen, Zvonimir Vlah, Emanuele Castorina, Martin White | LPT 1-loop, full IR resummation of both displacements and velocities | 0.12 | arXiv:2012.04636 | Dec 3rd 2020 | No | |||

Yosuke Kobayashi (w/ Takahiro Nishimichi and Masahiro Takada) | Halo-model based emulator with a HOD prescription to connect to galaxies | 0.2 | Model described in arXiv:2005.06122, challenge results to be described in a separate paper | April 2nd 2021 | Yes (Ground-truth values blinded only to Y. Kobayashi, who conducted all the analysis) | |||

Samuel Brieden, Héctor Gil-Marín, Licia Verde | SIM-LIKE: 1-loop standard perturbation theory + TNS + FoG Lorentzian damping + non local bias parameters b2s2 and b3nl varied freely. | 0.12 | Model description in arXiv:2106.07641, challenge results in arXiv:2201.08400, see also this document for post-unblinding results with a geometrical correction | November 23rd 2021 | Yes | |||

DATA-Like-MAX: 2-loop re-summation perturbation theory + TNS + FoG Lorentzian damping + non local bias parameters b2s2 and b3nl varied freely. Hexadecapole also included. | 0.15 (k_min also set to 0.02) | |||||||

DATA-Like-MIN: 2-loop re-summation perturbation theory + TNS + FoG Lorentzian damping + non local bias parameters b2s2 and b3nl set to their Lagrangian prediction. Hexadecapole also included. | 0.15 (k_min also set to 0.02) |

Takahiro Nishimichi, Guido D'Amico, Mikhail M. Ivanov, Leonardo Senatore, Marko SimonoviÄ‡, Masahiro Takada, Matias Zaldarriaga, Pierre Zhang, "Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum"

Physical Review D 102 123541 (2020)

last update: 9 May 2022 (Mon)

© Takahiro Nishimichi