Rapidity evolution of TMDs with running coupling

Balitsky, Ian; Chirilli, Giovanni A.

doi:10.1103/PhysRevD.106.034007

Title: Rapidity evolution of TMDs with running coupling

Journal Article · 03 August 2022 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.106.034007 · OSTI ID:1879920

Balitsky, Ian ^[1]; Chirilli, Giovanni A. ^[2]

Old Dominion Univ., Norfolk, VA (United States)
Univ. of Regensburg (Germany)

The scale of a coupling constant for rapidity-only evolution of transverse-momentum dependent (TMD) operators in the Sudakov kinematic region is calculated using the Brodsky-Lepage-Mackenzie optimal scale setting [S. J. Brodsky et al., Phys. Rev. D 28, 228 (1983).]. The effective argument of a coupling constant is halfway in the logarithmical scale between the transverse momentum and energy of TMD distribution. The resulting rapidity-only evolution equation is solved for quark and gluon TMDs.

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Research Organization:: Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028

OSTI ID:: 1879920

Report Number(s):: DOE/OR/23177-5489; JLAB-THY-22-3614; arXiv:2205.03119

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 106; ISSN 2470-0010; ISSN 2470-0029

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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