FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory. Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we present a fast algorithm for computing 1-loop power spectra of quantities that depend on the observer’s orientation, thereby generalizing the FAST-PT framework (McEwen et al., 2016) that was originally developed for scalars such as the matter density. This algorithm works for an arbitrary input power spectrum and substantially reduces the time required for numerical evaluation. We apply the algorithm to four examples: intrinsic alignments of galaxies in the tidal torque model; the Ostriker-Vishniac effect; the secondary CMB polarization due to baryon flows; and the 1-loop matter power spectrum in redshift space. Code implementing this algorithm and these applications is publicly available at

References in zbMATH (referenced in 14 articles , 1 standard article )

Showing results 1 to 14 of 14.
Sorted by year (citations)

  1. Aviles, Alejandro; Banerjee, Arka; Niz, Gustavo; Slepian, Zachary: Clustering in massive neutrino cosmologies via Eulerian perturbation theory (2021)
  2. Aviles, Alejandro; Valogiannis, Georgios; Rodriguez-Meza, Mario A.; Cervantes-Cota, Jorge L.; Li, Baojiu; Bean, Rachel: Redshift space power spectrum beyond Einstein-de Sitter kernels (2021)
  3. Carrilho, Pedro; Moretti, Chiara; Bose, Benjamin; Markovič, Katarina; Pourtsidou, Alkistis: Interacting dark energy from redshift-space galaxy clustering (2021)
  4. Chen, Joe Zhiyu; Upadhye, Amol; Wong, Yvonne Y. Y.: The cosmic neutrino background as a collection of fluids in large-scale structure simulations (2021)
  5. Chen, Shu-Fan; Lee, Hayden; Dvorkin, Cora: Precise and accurate cosmology with CMB(\times)LSS power spectra and bispectra (2021)
  6. D’Amico, G.; Marinucci, M.; Pietroni, M.; Vernizzi, F.: The large scale structure bootstrap: perturbation theory and bias expansion from symmetries (2021)
  7. Dam, Lawrence; Bolejko, Krzysztof; Lewis, Geraint F.: Exploring the redshift-space peculiar velocity field and its power spectrum (2021)
  8. Oddo, Andrea; Rizzo, Federico; Sefusatti, Emiliano; Porciani, Cristiano; Monaco, Pierluigi: Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space (2021)
  9. Umeh, Obinna: Optimal computation of anisotropic galaxy three point correlation function multipoles using 2DFFTLOG formalism (2021)
  10. Desjacques, Vincent; Jeong, Donghui; Schmidt, Fabian: The galaxy power spectrum and bispectrum in redshift space (2018)
  11. Schöneberg, Nils; Simonović, Marko; Lesgourgues, Julien; Zaldarriaga, Matias: Beyond the traditional line-of-sight approach of cosmological angular statistics (2018)
  12. Simonović, Marko; Baldauf, Tobias; Zaldarriaga, Matias; Carrasco, John Joseph; Kollmeier, Juna A.: Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals (2018)
  13. de la Bella, Lucía Fonseca; Regan, Donough; Seery, David; Hotchkiss, Shaun: The matter power spectrum in redshift space using effective field theory (2017)
  14. Fang, Xiao; Blazek, Jonathan A.; McEwen, Joseph E.; Hirata, Christopher M.: FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory (2017)