Publications
Publication Information
| Title | Transverse Momentum Moments |
| Authors | Alexei Prokudin, Óscar del Río, Ignazio Scimemi, Alexey Vladimirov |
| JLAB number | JLAB-THY-24-3989 |
| LANL number | (None) |
| Other number | DOE/OR/23177-7389 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | NSF, DOE |
|
Journal Compiled for Physical Review D Volume 110 Page(s) 016003 | |
| Publication 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. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.110.016003 |
| Accepted Manuscript: | PhysRevD.110.016003.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |