Efficient computation of Fourier-Bessel transforms for transverse-momentum dependent parton distributions and other functions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909291267489792 |
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| author | Diehl, Markus Grocholski, Oskar |
| author_facet | Diehl, Markus Grocholski, Oskar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient computation of Fourier-Bessel transforms for transverse-momentum dependent parton distributions and other functions Diehl, Markus Grocholski, Oskar High Energy Physics - Phenomenology 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. |
| title | Efficient computation of Fourier-Bessel transforms for transverse-momentum dependent parton distributions and other functions |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.08616 |