FAST-PT swMATH ID: 41222 Software Authors: Fang, Xiao; Blazek, Jonathan A.; McEwen, Joseph E.; Hirata, Christopher M. Description: 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 https://github.com/JoeMcEwen/FAST-PT. Homepage: https://arxiv.org/abs/1603.04826 Source Code: https://github.com/JoeMcEwen/FAST-PT Dependencies: Python Keywords: cosmological parameters from LSS; gravitational lensing; power spectrum; redshift surveys Related Software: CAMB; GetDist; SciPy; emcee; NumPy; CONCEPT; Matplotlib; DLMF; CLASS; GitHub; PINOCCHIO; BayesDA; Quijote; EuclidEmulator; L-PICOLA; Python; SymPy; NumSBT; 2D-FFTLog; mpmath Cited in: 14 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory. Zbl 1515.83006Fang, Xiao; Blazek, Jonathan A.; McEwen, Joseph E.; Hirata, Christopher M. 2017 all top 5 Cited by 49 Authors 2 Aviles, Alejandro 2 Simonović, Marko 2 Zaldarriaga, Matias 1 Baldauf, Tobias 1 Banerjee, Arka 1 Bean, Rachel 1 Blazek, Jonathan A. 1 Bolejko, Krzysztof 1 Bose, Benjamin 1 Carrasco, John Joseph M. 1 Carrilho, Pedro 1 Cervantes-Cota, Jorge L. 1 Chen, Joe Zhiyu 1 Chen, Shu-Fan 1 Dam, Lawrence 1 D’Amico, Guido 1 de la Bella, Lucía Fonseca 1 Desjacques, Vincent 1 Dvorkin, Cora 1 Hirata, Christopher M. 1 Hotchkiss, Shaun 1 Jeong, Donghui 1 Kollmeier, Juna A. 1 Lee, Hayden 1 Lesgourgues, Julien 1 Lewis, Geraint F. 1 Li, Baojiu 1 Markovič, Katarina 1 McEwen, Joseph E. 1 Monaco, Pierluigi 1 Moretti, Chiara 1 Niz, Gustavo 1 Oddo, Andrea 1 Pietroni, Massimo 1 Porciani, Cristiano 1 Pourtsidou, Alkistis 1 Regan, Donough 1 Rizzo, Federico 1 Rodriguez-Meza, Mario Alberto 1 Schmidt, Fabian 1 Schöneberg, Nils 1 Seery, David 1 Sefusatti, Emiliano 1 Slepian, Zachary 1 Umeh, Obinna 1 Upadhye, Amol 1 Valogiannis, Georgios 1 Vernizzi, Filippo 1 Wong, Yvonne Y. Y. Cited in 1 Serial 14 Journal of Cosmology and Astroparticle Physics all top 5 Cited in 14 Fields 14 Relativity and gravitational theory (83-XX) 7 Quantum theory (81-XX) 6 Partial differential equations (35-XX) 5 Optics, electromagnetic theory (78-XX) 4 Statistics (62-XX) 4 Astronomy and astrophysics (85-XX) 3 Commutative algebra (13-XX) 3 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year