# The large scale structure bootstrap: perturbation theory and bias expansion from symmetries

@article{DAmico2021TheLS, title={The large scale structure bootstrap: perturbation theory and bias expansion from symmetries}, author={Guido D’Amico and Massimo Trabalza Marinucci and Massimo Pietroni and Filippo Vernizzi}, journal={Journal of Cosmology and Astroparticle Physics}, year={2021}, volume={2021} }

We investigate the role played by symmetries in the perturbative expansion of the large-scale structure. In particular, we establish which of the coefficients of the perturbation theory kernels are dictated by symmetries and which not. Up to third order in perturbations, for the dark matter density contrast (and for the dark matter velocity) only three coefficients are not fixed by symmetries and depend on the particular cosmology. For generic biased tracers, where number/mass and momentum…

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## References

SHOWING 1-10 OF 80 REFERENCES

Systematic renormalization of the effective theory of Large Scale Structure

- Physics
- 2015

A perturbative description of Large Scale Structure is a cornerstone of our understanding of the observed distribution of matter in the universe. Renormalization is an essential and defining step to…

The cosmological bootstrap: inflationary correlators from symmetries and singularities

- PhysicsJournal of High Energy Physics
- 2020

Scattering amplitudes at weak coupling are highly constrained by Lorentz invariance, locality and unitarity, and depend on model details only through coupling constants and the particle content of…

Consistency relations for large-scale structure in modified gravity and the matter bispectrum

- Physics
- 2020

We study perturbation theory for large-scale structure in the most general scalar-tensor theories propagating a single scalar degree of freedom, which include Horndeski theories and beyond. We model…

Renormalized cosmological perturbation theory

- Physics
- 2006

We develop a new formalism to study nonlinear evolution in the growth of large-scale structure, by following the dynamics of gravitational clustering as it builds up in time. This approach is…

Violation of the consistency relations for large-scale structure with dark energy

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2020

We study infrared effects in perturbation theory for large-scale structure coupled to the effective field theory of dark energy, focusing on, in particular, Degenerate Higher-Order Scalar-Tensor…

On the velocity in the Effective Field Theory of Large Scale Structures

- Physics
- 2013

We compute the renormalized two-point functions of density, divergence and vorticity of the velocity in the Effective Field Theory of Large Scale Structures. Because of momentum and mass…

The boostless bootstrap: amplitudes without Lorentz boosts

- PhysicsJournal of High Energy Physics
- 2020

Abstract
Poincaré invariance is a well-tested symmetry of nature and sits at the core of our description of relativistic particles and gravity. At the same time, in most systems Poincaré invariance…

Bias in the effective field theory of large scale structures

- Physics
- 2014

We study how to describe collapsed objects, such as galaxies, in the context of the Effective Field Theory of Large Scale Structures. The overdensity of galaxies at a given location and time is…

Measuring bias via the consistency relations of the large scale structure

- PhysicsPhysical Review D
- 2019

Consistency Relations (CR) for the Large Scale Structure are exact equalities between correlation functions of different order. These relations descend from the equivalence principle and hold for…