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Non-local Lagrangian bias · Around

2012

Non-local Lagrangian bias

Sheth, Ravi K., Chan, Kwan Chuen, Scoccimarro, Roman

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Understand

Halos are biased tracers of the dark matter distribution.

It is often assumed that the patches from which halos formed are locally biased with respect to the initial fluctuation field, meaning that the halo-patch fluctuation field can be written as a Taylor series in that of the dark matter.
If quantities other than the local density influence halo formation, then this Lagrangian bias will generically be nonlocal; the Taylor series must be performed with respect to these other variables as well.
We illustrate the effect with Monte-Carlo simulations of a model in which halo formation depends on the local shear (the quadrupole of perturbation theory), and provide an analytic model which provides a good description of our results.

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Then

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2011

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