Complete fifth-order galaxy bias renormalization in real space enables consistent two-loop power spectrum and one-loop bispectrum/trispectrum calculations for biased tracers with operator-level counterterms.
Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
11 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a new method for calculating loops in cosmological perturbation theory. This method is based on approximating a $\Lambda$CDM-like cosmology as a finite sum of complex power-law universes. The decomposition is naturally achieved using an FFTLog algorithm. For power-law cosmologies, all loop integrals are formally equivalent to loop integrals of massless quantum field theory. These integrals have analytic solutions in terms of generalized hypergeometric functions. We provide explicit formulae for the one-loop and the two-loop power spectrum and the one-loop bispectrum. A chief advantage of our approach is that the difficult part of the calculation is cosmology independent, need be done only once, and can be recycled for any relevant predictions. Evaluation of standard loop diagrams then boils down to a simple matrix multiplication. We demonstrate the promise of this method for applications to higher multiplicity/loop correlation functions.
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representative citing papers
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Extends HEFT to f(R) gravity for loop-corrected biased power spectra and outlines emulator extensions from LambdaCDM codes.
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Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
Novel implementation of anisotropic 3PCF model and estimator tested on 298 halo catalogs shows degeneracy breaking between f and b1 in 3PCF-only analysis but limited added value in joint 2PCF+3PCF due to tree-level model shortcomings on small scales.