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arXiv:1704.05309: Supporting Mathematica notebooks

David Seery

These are Mathematica notebooks forming part of the software bundle that accompanies arXiv:1704.05309 and the 2017.2 release of the Sussex LSSEFT tool. This deposit includes 2 notebooks:

  • FabrikantIntegrals.nb
    This notebook implements an analytic calculation of the weighted 3-Bessel integrals discussed by Fabrikant (Quarterly of Applied Mathematics 71 (2013) 573–581).
  • SPTPowerSpectrum.nb
    This notebook contains a digital version of the computation of the 1-loop SPT redshift-space power spectrum, including its full time dependence, as described in arXiv:1704.05309. It compares the result to Matsubara's, which uses the Einstein-de Sitter approximation, and to the 1-loop velocity power spectra quoted by Makino el al.
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  • V. Fabrikant, Elementary exact evaluation of infinite integrals of the product of several spherical Bessel functions, power and exponential. Quarterly of Applied Mathematics 71 (2013) 573–581

  • T. Matsubara, Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space. Phys. Rev. D77 (2008) 063530

  • N. Makino, M. Sasaki and Y. Suto, Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields. Phys. Rev. D46 (1992) 585–602

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