Transverse momentum dependent distribution functions in the threshold limit

We apply the joint threshold and transverse momentum dependent (TMD) factorization theorem to introduce new threshold-TMD distribution functions, including threshold-TMD parton distribution functions (PDFs) and fragmentation functions (FFs). We apply Soft-Collinear Effective Theory and renormalizati...

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Bibliographic Details
Published inarXiv.org
Main Authors Zhong-Bo, Kang, Samanta, Kajal, Ding Yu Shao, Yang-Li, Zeng
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 01.12.2023
Subjects
Collisions
Distribution functions
Inelastic scattering
Numerical prediction
Partons
Physics - High Energy Physics - Experiment
Physics - High Energy Physics - Phenomenology
Physics - Nuclear Experiment
Physics - Nuclear Theory
Renormalization group methods
Transverse momentum
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Summary:We apply the joint threshold and transverse momentum dependent (TMD) factorization theorem to introduce new threshold-TMD distribution functions, including threshold-TMD parton distribution functions (PDFs) and fragmentation functions (FFs). We apply Soft-Collinear Effective Theory and renormalization group methods to carry out QCD evolution for both threshold-TMD PDFs and FFs. We show the universality of threshold-TMD functions among three standard processes, i.e. the Drell-Yan production in \(pp\) collisions, semi-inclusive deep-inelastic scattering and back-to-back two hadron production in \(e^+e^-\) collisions. In the end, we present the numerical predictions for different threshold-TMD functions and also transverse momentum distributions at \(pp\), \(ep\), and \(e^+e^-\) collisions.
ISSN:2331-8422
DOI:10.48550/arxiv.2211.08341