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Title: Biased tracers of two fluids in the Lagrangian picture

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2];  [2]
  1. Univ. of California, Berkeley, CA (United States); University of California, Berkeley
  2. Univ. of California, Berkeley, CA (United States); Berkeley Center for Cosmological Physics, Berkeley, CA (United States)

We explore Lagrangian perturbation theory (LPT) for biased tracers in the presence of two fluids, focusing on the case of cold dark matter (CDM) and baryons. The presence of two fluids induces corrections to the Lagrangian bias expansion and tracer advection, both of which we formulate as expansions in the three linear modes of the Lagrangian equations of motion. We compute the linear-order two-fluid corrections in the Zeldovich approximation, finding that modifications to the bias expansion and tracer advection both enter as percent-level corrections over a large range of wavenumbers at low redshift and draw parallels with the Eulerian formalism. We then discuss nonlinear corrections in the two-fluid picture, and calculate contributions from the relative velocity effect ($$\propto$$ v$$_r^2$$) at one loop order. Finally, we conduct an exploratory Fisher analysis to assess the impact of two-fluid corrections on baryon acoustic oscillations (BAO) measurements, finding that while modest values of the relative bias parameters can introduce systematic biases in the measured BAO scale of up to 0.5 $$σ$$, fitting for these effects as additional parameters increases the error bar by less than 30% across a wide range of bias values.

Research Organization:
Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
Grant/Contract Number:
SC0017860; AC02-05CH11231
OSTI ID:
1594717
Journal Information:
Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 06 Vol. 2019; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English

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Cosmological perturbation theory for baryons and dark matter: One-loop corrections in the renormalized perturbation theory framework text January 2010
Large-scale BAO signatures of the smallest galaxies text January 2010
Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields text January 2010
Supersonic relative velocity effect on the baryonic acoustic oscillation measurements text January 2011

Cited By (5)

The reconstructed power spectrum in the Zeldovich approximation journal September 2019
Constraining primordial non-Gaussianity using two galaxy surveys and CMB lensing journal August 2019
Measuring dark matter-neutrino relative velocity on cosmological scales journal January 2020
Constraining primordial non-Gaussianity using two galaxy surveys and CMB lensing text January 2019
The Reconstructed Power Spectrum in the Zeldovich Approximation text January 2019

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