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Publication Information
Title Transverse Momentum Moments
Abstract In this paper, we establish robust relations between Transverse Momentum Dependent distributions (TMDs) and collinear distributions. We define weighted integrals of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are equal to collinear distributions evaluated in some minimal subtraction scheme. The conversion to the $\MS$-scheme can be done by a calculable factor, which we derive up to three loops for some cases. We discuss in detail the zeroth, the first, and the second TMMs and provide phenomenological results for them based on the current extractions of TMDs. The results of this paper open new avenues for theoretical and phenomenological investigation of the three-dimensional and collinear hadron structures.
Author(s) Alexei Prokudin, Óscar del Río, Ignazio Scimemi, Alexey Vladimirov
Publication Date July 2024
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), NSF, DOE
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-24-3989 OSTI Number: 2403032
LANL Number: Other Number: DOE/OR/23177-7389
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed No
Volume 110
Issue
Page(s) 016003
Attachments/Datasets/DOI Link
Document(s)
IntegratedTMD.pdf (STI Document)
PhysRevD.110.016003.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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