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Title: Biased tracers of two fluids in the Lagrangian picture

Abstract

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.

Authors:
 [1];  [2];  [2]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States); Berkeley Center for Cosmological Physics, Berkeley, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF)
OSTI Identifier:
1594717
Alternate Identifier(s):
OSTI ID: 1605240
Grant/Contract Number:  
[SC0017860; AC02-05CH11231; DGE 1106400; 1713791]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
[ Journal Volume: 2019; Journal Issue: 06]; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Chen, Shi-Fan, Castorina, Emanuele, and White, Martin. Biased tracers of two fluids in the Lagrangian picture. United States: N. p., 2019. Web. doi:10.1088/1475-7516/2019/06/006.
Chen, Shi-Fan, Castorina, Emanuele, & White, Martin. Biased tracers of two fluids in the Lagrangian picture. United States. doi:10.1088/1475-7516/2019/06/006.
Chen, Shi-Fan, Castorina, Emanuele, and White, Martin. Tue . "Biased tracers of two fluids in the Lagrangian picture". United States. doi:10.1088/1475-7516/2019/06/006.
@article{osti_1594717,
title = {Biased tracers of two fluids in the Lagrangian picture},
author = {Chen, Shi-Fan and Castorina, Emanuele and White, Martin},
abstractNote = {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.},
doi = {10.1088/1475-7516/2019/06/006},
journal = {Journal of Cosmology and Astroparticle Physics},
number = [06],
volume = [2019],
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
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