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Small-π‘₯ asymptotics of the leading-twist flavor-singlet quark TMDs

Journal Article · · Physical Review. D.
DOI:https://doi.org/10.1103/fyld-m5g1· OSTI ID:3014320
 [1];  [2];  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Michigan State Univ., East Lansing, MI (United States)
  2. 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
  3. 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-𝑁𝑐 approximation under the linearized, double-logarithmic approximation, where 𝑁𝑐 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-𝑁𝑐 approximations.
Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC05-06OR23177; FG02-97ER41028
OSTI ID:
3014320
Report Number(s):
DOE/OR/23177--7796; JLAB-THY--25-4222
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 113; ISSN 2470-0010; ISSN 2470-0029
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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