Abstract
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.
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Acknowledgments
We thank Hui-Chun Chin, Jun Gao, Dianyu Liu, Zekun Lou and Yiyu Zhou for their useful discussions. Z.K. is supported by the National Science Foundation under grant No. PHY-1945471. K.S. and D.Y.S. are supported by the National Science Foundations of China under Grant No. 12275052 and No. 12147101 and the Shanghai Natural Science Foundation under Grant No. 21ZR1406100. Y.Z. is supported by the Tsung-Dao Lee Chinese Undergraduate Research Endowment under Grant No. 202210246155.
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Kang, ZB., Samanta, K., Shao, D.Y. et al. Transverse momentum dependent distribution functions in the threshold limit. J. High Energ. Phys. 2023, 220 (2023). https://doi.org/10.1007/JHEP11(2023)220
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DOI: https://doi.org/10.1007/JHEP11(2023)220