Biased tracers of two fluids in the Lagrangian picture

Chen, Shi-Fan; Castorina, Emanuele; White, Martin

doi:10.1088/1475-7516/2019/06/006

Title: Biased tracers of two fluids in the Lagrangian picture

Journal Article · Tue Jun 04 00:00:00 EDT 2019 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2019/06/006· OSTI ID:1594717

Chen, Shi-Fan ^[1]; Castorina, Emanuele ^[2]; White, Martin ^[2]

Univ. of California, Berkeley, CA (United States)
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.

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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); National Science Foundation (NSF)

Grant/Contract Number:: SC0017860; AC02-05CH11231; DGE 1106400; 1713791

OSTI ID:: 1594717

Alternate ID(s):: OSTI ID: 1605240

Journal Information:: Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 06; ISSN 1475-7516

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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