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Efficient computation of Fourier-Bessel transforms for transverse-momentum dependent parton distributions and other functions

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arxiv 2405.08616 v2 pith:BH6X6FDZ submitted 2024-05-14 hep-ph

classification hep-ph
keywords computationdependentdistributionsfourier-besselfunctionfunctionspartontransforms
verification ladder T0 review T1 audit T2 compute T3 formal

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We present a method for the numerical computation of Fourier-Bessel transforms on a finite or infinite interval. The function to be transformed needs to be evaluated on a grid of points that is independent of the argument of the Bessel function. We demonstrate the accuracy of the algorithm for a wide range of functions, including those that appear in the context of transverse-momentum dependent parton distributions in Quantum Chromodynamics.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Simultaneous Color Glass Condensate fit to deep inelastic scattering and forward hadron production at HERA, RHIC, and the LHC

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A simultaneous LO CGC/BK fit to HERA DIS and RHIC/LHC forward hadron production reaches χ²/dof≈1, with complementary constraints and RHIC K-factors roughly twice those at the LHC.

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