Testing the Gaussian Ansatz for TMD PDFs Through CMS Measurements
Abstract
We investigate the differential cross section of the pp Drell-Yan process within the framework of Transverse Momentum Dependent (TMD) factorization. We perform phenomenological calculations of the differential cross section as a function of qT in different dilepton invariant mass bins and compare it with the measured data from the CMS experiment at 13TeV, employing two distinct transverse momentum dependencies of the parton distribution functions: the Collins-Soper-Sterman (CSS) evolution method and the Gaussian Ansatz. The results indicate that the CSS evolution method agrees well with experimental data across the entire energy range, demonstrating its strong predictive capability for the evolution behavior of TMD distribution functions. In contrast, the Gaussian Ansatz of the TMD PDFs is only applicable in the low-energy region and exhibits significant limitations at high energies. This study verifies the effectiveness of the TMD factorization theorem in describing high-energy processes and provides theoretical support for an in-depth exploration of the nucleon's internal structure and non-perturbative QCD dynamics.
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BibTeX
@misc{yang2026testing,
title = {{Testing the Gaussian Ansatz for TMD PDFs Through CMS Measurements}},
author = {Shuailiang Yang and Yingqi Hou and Xiaoyu Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36772},
eprint = {2610.36772},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36772},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Testing the Gaussian Ansatz for TMD PDFs Through CMS Measurements
AU - Shuailiang Yang
AU - Yingqi Hou
AU - Xiaoyu Wang
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36772
UR - https://arxiv.org/abs/2610.36772
AB - We investigate the differential cross section of the pp Drell-Yan process within the framework of Transverse Momentum Dependent (TMD) factorization. We perform phenomenological calculations of the differential cross section as a function of q_T in different dilepton invariant mass bins and compare it with the measured data from the CMS experiment at 13TeV, employing two distinct transverse momentum dependencies of the parton distribution functions: the Collins-Soper-Sterman (CSS) evolution method and the Gaussian Ansatz. The results indicate that the CSS evolution method agrees well with experimental data across the entire energy range, demonstrating its strong predictive capability for the evolution behavior of TMD distribution functions. In contrast, the Gaussian Ansatz of the TMD PDFs is only applicable in the low-energy region and exhibits significant limitations at high energies. This study verifies the effectiveness of the TMD factorization theorem in describing high-energy processes and provides theoretical support for an in-depth exploration of the nucleon's internal structure and non-perturbative QCD dynamics.
ER -