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Publication Information
Title Efficient Fourier Transforms for Transverse Momentum Dependent Distributions
Abstract Hadron production at low transverse momenta in semi-inclusive deep inelastic scattering can be described by transverse momentum dependent (TMD) factorization. This formalism has also been widely used to study the Drell-Yan process and back-to-back hadron pair production in $e^+e^-$ collisions. These processes are the main ones for extractions of TMD parton distribution functions and TMD fragmentation functions, which encode important information about nucleon structure and hadronization. One of the most widely used TMD factorization formalism in phenomenology formulates TMD observables in coordinate $\bt$-space, the conjugate space of the transverse momentum. The Fourier transform from $\bt$-space back into transverse momentum space is sufficiently complicated due to oscillatory integrands and requires a careful and computationally intensive numerical treatment in order to avoid potentially large numerical errors. In this paper we develop a fast two-dimensional numerical Fourier tr
Author(s) Z. Kang, Alexei Prokudin, N. Sato, John Terry
Publication Date January 2021
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-19-2962 OSTI Number: 1670105
LANL Number: arXiv:1906.05949 Other Number: DOE/OR/23177-4712
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Computer Physics Communication
Refereed Yes
Volume 258
Issue
Page(s) 107611
Attachments/Datasets/DOI Link
Document(s)
paper46.pdf (STI Document)
1906.05949.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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