Perturbative description of bias tracers using consistency relations of LSS. (arXiv:2003.10114v2 [astro-ph.CO] UPDATED)

<a href="http://arxiv.org/find/astro-ph/1/au:+Fujita_T/0/1/0/all/0/1">Tomohiro Fujita</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Vlah_Z/0/1/0/all/0/1">Zvonimir Vlah</a>

We develop a simple formalism of biased tracers that we dub $mathit{Monkey

bias}$. In this formalism, a biased tracer field is constructed directly in

terms of the linear matter fluctuation field and the set of derivative

operators acting on it. Such bias expansion is first organized based on the

general structure of non-linear dynamical equations for the biased tracers.

Further physical conditions, like the equivalence principle, are imposed on

tree-level correlators utilising the consistency relations. We obtain the bias

expansion up to the third-order in linear matter fluctuation in the generalized

$Lambda$CDM background, which reproduces the previous results in the limit of

the EdS universe. This algorithmic construction of our bias operator basis is

well suited for extensions towards higher-order bias fields. Moreover, this

formalism reveals that biased tracer dynamics in generalized $Lambda$CDM

background is not entirely degenerate with the rest of bias parameters, thus

opening a possibility of testing the background cosmology through the

observations of biased tracers.

We develop a simple formalism of biased tracers that we dub $mathit{Monkey

bias}$. In this formalism, a biased tracer field is constructed directly in

terms of the linear matter fluctuation field and the set of derivative

operators acting on it. Such bias expansion is first organized based on the

general structure of non-linear dynamical equations for the biased tracers.

Further physical conditions, like the equivalence principle, are imposed on

tree-level correlators utilising the consistency relations. We obtain the bias

expansion up to the third-order in linear matter fluctuation in the generalized

$Lambda$CDM background, which reproduces the previous results in the limit of

the EdS universe. This algorithmic construction of our bias operator basis is

well suited for extensions towards higher-order bias fields. Moreover, this

formalism reveals that biased tracer dynamics in generalized $Lambda$CDM

background is not entirely degenerate with the rest of bias parameters, thus

opening a possibility of testing the background cosmology through the

observations of biased tracers.

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