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EFT implementation#9

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chrgeorgiou wants to merge 3 commits intomasterfrom
EFT_implementation
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EFT implementation#9
chrgeorgiou wants to merge 3 commits intomasterfrom
EFT_implementation

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@chrgeorgiou
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This PR implements the calculation of integrals in the EFT model of Large-Scale Structure, with particular emphasis on the galaxy intrinsic alignments.

The equations that are implemented are summarised in 2303.15565. The (22)-integrals are in Eq. (2.39) with the associated kernels in Eq. (A.1) and the (13)-integrals are in Eq. (2.40) with kernels in Eq. (A.3).

The FAST-PT implementation here has been benchmarked against an external code that calculates these integrals using FFTLog in mathematica. The agreement is below 1% for the (22)-integrals and below 3% for the (13)-integrals.

Happy to receive comments on the implementation and change things around if necessary.

@chrgeorgiou
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chrgeorgiou commented Nov 5, 2025

Last few things to do (after discussion with @jablazek):

  • Migrate to v4.
  • Add option to not subtract the low-k limit.
  • Compute the low-k limit properly (now it is just the first P(k_0) value).
  • Calculate the optimal/allowed \nu values (optional).

@chrgeorgiou
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Me and Yijie had a chat to port all my work to v4. So far, it only works by utilising the to_do list, so one has to set to_do=['EFT'] to have FAST-PT initialise the integrals necessary for the EFT calculations. Yijie will look at updating this to the v4 infrastructure, where quantities are computed as needed without explicitly requiring the to_do list.

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