Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Michigan State Univ., East Lansing, MI (United States)
Temple Univ., Philadelphia, PA (United States); Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Southeastern Universities Research Associations (SURA), Washington, DC (United States). Center for Nuclear Femtography
Univ. of Jyvaskyla (Finland); Helsinki Inst. of Physics (Finland); Univ. of Helsinki (Finland); Chulalongkorn Univ., Bangkok (Thailand)
In this paper, we investigate the small-π₯ behavior of the flavor-singlet, leading-twist quark transverse-momentum-dependent parton distribution functions (TMDs) using the light-cone operator treatment. This formalism allows us to express TMD operators at small π₯ in terms of polarized dipole amplitudes, enabling a systematic approach to their small-π₯ evolution. We derive the evolution equations for these TMDs and solve them within the large-ππ approximation under the linearized, double-logarithmic approximation, where ππ represents the number of quark colors. Expanding on previous work on unpolarized and helicity TMDs, we present the small-π₯ asymptotics for a comprehensive set of TMDs, including the Sivers function, helicity worm-gear, transversity, pretzelosity, Boer-Mulders, and transversity worm-gear distributions. Our results provide a complete picture of the small-π₯ asymptotic behavior for all leading-twist flavor-singlet quark TMDs. We also discuss the implications of our findings for phenomenological applications and outline potential avenues for further research, particularly in understanding nonlinear effects and extending beyond the double-logarithmic approximation and large-ππ approximations.
@article{osti_3014320,
author = {Adamiak, Daniel and Santiago, Melvin Gabriel and Tawabutr, Yossathorn},
title = {Small-π₯ asymptotics of the leading-twist flavor-singlet quark TMDs},
annote = {In this paper, we investigate the small-π₯ behavior of the flavor-singlet, leading-twist quark transverse-momentum-dependent parton distribution functions (TMDs) using the light-cone operator treatment. This formalism allows us to express TMD operators at small π₯ in terms of polarized dipole amplitudes, enabling a systematic approach to their small-π₯ evolution. We derive the evolution equations for these TMDs and solve them within the large-ππ approximation under the linearized, double-logarithmic approximation, where ππ represents the number of quark colors. Expanding on previous work on unpolarized and helicity TMDs, we present the small-π₯ asymptotics for a comprehensive set of TMDs, including the Sivers function, helicity worm-gear, transversity, pretzelosity, Boer-Mulders, and transversity worm-gear distributions. Our results provide a complete picture of the small-π₯ asymptotic behavior for all leading-twist flavor-singlet quark TMDs. We also discuss the implications of our findings for phenomenological applications and outline potential avenues for further research, particularly in understanding nonlinear effects and extending beyond the double-logarithmic approximation and large-ππ approximations.},
doi = {10.1103/fyld-m5g1},
url = {https://www.osti.gov/biblio/3014320},
journal = {Physical Review. D.},
issn = {ISSN 2470-0029},
number = {1},
volume = {113},
place = {United States},
publisher = {American Physical Society (APS)},
year = {2026},
month = {01}}
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 1049https://doi.org/10.1016/j.nima.2023.168017
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 1055https://doi.org/10.1016/j.nima.2023.168458