Baryon acoustic oscillations in 2D: Modeling redshift-space power spectrum from perturbation theory

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.063522· OSTI ID:21421129

Taruya, Atsushi ^[1]; Nishimichi, Takahiro ^[2]; Saito, Shun ^[3]

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1. Research Center for the Early Universe, School of Science, University of Tokyo, Bunkyo-ku, Tokyo 113-0033 (Japan)
2. Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8568 (Japan)
3. Department of Physics, University of Tokyo, Bunkyo-ku, 113-0033 (Japan)

We present an improved prescription for the matter power spectrum in redshift space taking proper account of both nonlinear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling baryon acoustic oscillations (BAOs). Contrary to the models of redshift distortion phenomenologically introduced but frequently used in the literature, the new model includes the corrections arising from the nonlinear coupling between the density and velocity fields associated with two competitive effects of redshift distortion, i.e., Kaiser and Finger-of-God effects. Based on the improved treatment of perturbation theory for gravitational clustering, we compare our model predictions with the monopole and quadrupole power spectra of N-body simulations, and an excellent agreement is achieved over the scales of BAOs. Potential impacts on constraining dark energy and modified gravity from the redshift-space power spectrum are also investigated based on the Fisher-matrix formalism, particularly focusing on the measurements of the Hubble parameter, angular diameter distance, and growth rate for structure formation. We find that the existing phenomenological models of redshift distortion produce a systematic error on measurements of the angular diameter distance and Hubble parameter by 1%-2%, and the growth-rate parameter by {approx}5%, which would become non-negligible for future galaxy surveys. Correctly modeling redshift distortion is thus essential, and the new prescription for the redshift-space power spectrum including the nonlinear corrections can be used as an accurate theoretical template for anisotropic BAOs.

• OSTI ID: 21421129
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.063522; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
BARYONS
COMPARATIVE EVALUATIONS
CORRECTIONS
COUPLING
DENSITY
FORECASTING
GALAXIES
GRAVITATION
HUBBLE EFFECT
MONOPOLES
NONLINEAR PROBLEMS
NONLUMINOUS MATTER
OSCILLATIONS
PERTURBATION THEORY
RED SHIFT
SIMULATION
SPECTRA
TWO-DIMENSIONAL CALCULATIONS
VELOCITY
ELEMENTARY PARTICLES
EVALUATION
FERMIONS
HADRONS
MATTER
PHYSICAL PROPERTIES