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Hauptverfasser: Nikolis, Charalampos, Rubira, Henrique, Schmidt, Fabian
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2405.21002
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author Nikolis, Charalampos
Rubira, Henrique
Schmidt, Fabian
author_facet Nikolis, Charalampos
Rubira, Henrique
Schmidt, Fabian
contents The renormalization group for large-scale structure (RG-LSS) describes the evolution of galaxy bias and stochastic parameters as a function of the cutoff $Λ$. In this work, we introduce interaction vertices that describe primordial non-Gaussianity into the Wilson-Polchinski framework, thereby extending the free theory to the interacting case. The presence of these interactions forces us to include new operators and bias coefficients to the bias expansion to ensure closure under renormalization. We recover the previously-derived ``scale-dependent bias'' contributions, as well as a new (subdominant) stochastic contribution. We derive the renormalization group equations governing the RG-LSS for a large class of interactions which account for vertices at linear order in $f_{\rm NL}$ that parametrize interacting scalar and massive spinning fields during inflation. Solving the RG equations, we show the evolution of the non-Gaussian contributions to galaxy clustering as a function of scale.
format Preprint
id arxiv_https___arxiv_org_abs_2405_21002
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Renormalization Group for Large-Scale Structure: Primordial non-Gaussianities
Nikolis, Charalampos
Rubira, Henrique
Schmidt, Fabian
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
The renormalization group for large-scale structure (RG-LSS) describes the evolution of galaxy bias and stochastic parameters as a function of the cutoff $Λ$. In this work, we introduce interaction vertices that describe primordial non-Gaussianity into the Wilson-Polchinski framework, thereby extending the free theory to the interacting case. The presence of these interactions forces us to include new operators and bias coefficients to the bias expansion to ensure closure under renormalization. We recover the previously-derived ``scale-dependent bias'' contributions, as well as a new (subdominant) stochastic contribution. We derive the renormalization group equations governing the RG-LSS for a large class of interactions which account for vertices at linear order in $f_{\rm NL}$ that parametrize interacting scalar and massive spinning fields during inflation. Solving the RG equations, we show the evolution of the non-Gaussian contributions to galaxy clustering as a function of scale.
title The Renormalization Group for Large-Scale Structure: Primordial non-Gaussianities
topic Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2405.21002