Regularization scheme dependence of the counterterms in the galaxy bias expansion

Journal Article · 23 November 2023 · Journal of Cosmology and Astroparticle Physics

DOI: https://doi.org/10.1088/1475-7516/2023/11/087 · OSTI ID:2223081

Patrone, Samuel ^[1]; Testa, Adriano ^[2]; Wise, Mark B. ^[2]

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1. California Institute of Technology (CalTech), Pasadena, CA (United States); California Institute of Technology
2. California Institute of Technology (CalTech), Pasadena, CA (United States)

In this paper we explore how different regularization prescriptions affect the counterterms in the renormalization of the galaxy bias expansion. We work in the context of primordial local non-Gaussianity including non-linear gravitational evolution. We carry out the one-loop renormalization of the field $$δ$$$^{ρ}_{2}$$ (i.e. the square of the matter overdensity field) up to third order in gravitational evolution. Three regularization schemes are considered and their impact on the values of the counterterms is studied. We explicitly verify that the coefficients of the non-boost invariant operators are regularization scheme independent.

• Research Organization: California Institute of Technology (CalTech), Pasadena, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0011632
• OSTI ID: 2223081
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 11 Vol. 2023; ISSN 1475-7516
• Publisher: Institute of Physics (IOP)Copyright Statement
• Country of Publication: United States
• Language: English