Lattice calculation of the intrinsic soft function and the Collins-Soper kernel

,; Chu, Min-Huan; He, Jin-Chen; Hua, Jun; Liang, Jian; Ji, Xiangdong; Schäfer, Andreas; Shu, Hai-Tao; Su, Yushan; Walter, Lisa; Wang, Wei; Wang, Ji-Hao; Yang, Yi-Bo; Zeng, Jun; Zhang, Qi-An

doi:10.1007/jhep08(2023)172

Cited by 17 publications

(3 citation statements)

References 71 publications

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“…The Collin Soper kernel can be extracted by the evolution of quasi TMDs. As a universal kernel, it can be extracted from various TMD distributions such as the quasi TMD PDF [65], quasi TMD wave function [66,69,81,83] as well as the moments of TMDs [70,71]. It has been extensively explored from lattice calculations in past two years and is in progress towards the precision control.…”

Section: Pos(lattice2023)128mentioning

confidence: 99%

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Overview of hadron structure from lattice QCD

Gao

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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We review the latest progress in lattice QCD calculations of the hadron structure. There have been improved calculations of form factors and gravitational form factors by removing the lattice artifacts. Additionally, we highlight the rapid development in lattice calculations of x-dependent parton distributions. This area of study has expanded from various one-dimensional parton distribution functions (PDFs) to three-dimensional distributions like generalized parton distribution functions (GPDs) and transverse-momentum-dependent PDFs (TMDs). These advancements are being achieved within the large momentum effective theory (LaMET) framework and similar methodologies, with considerable progress in controlling lattice artifacts as well as enhancing theoretical accuracy.

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Section: Pos(lattice2023)128mentioning

confidence: 99%

“…The recent calculation from Ref. [82,83] has used NLO matching and is approaching the continuum, physical limit. With all the critical ingredients ready, one can extract the physical TMDs through a perturbative matching.…”

Section: Pos(lattice2023)128mentioning

confidence: 99%

Overview of hadron structure from lattice QCD

Gao

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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“…(A.13). The four-loop perturbative expression of κ(b T , µ) was recently calculated in [63,64], and its nonperturbative analysis can be found in [65,66] and the preliminary nonperturbative numerical simulation in lattice QCD is presented in [67][68][69].…”

Section: Jhep11(2023)220mentioning

confidence: 99%

Transverse momentum dependent distribution functions in the threshold limit

Kang,

Samanta,

Shao

et al. 2023

J. High Energ. Phys.

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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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Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators

Liu,

2024

J. High Energ. Phys.

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In this paper, we show that the common hard kernel of double-log-type or threshold-type factorization for certain space-like parton correlators that arise in the context of lattice parton distributions, the heavy-light Sudakov hard kernel, has linear infrared (IR) renormalon. We explicitly demonstrate how this IR renormalon correlates with ultraviolet (UV) renormalons of next-to-leading power operators in two explicit examples: threshold asymptotics of space-like quark-bilinear coefficient functions and transverse momentum dependent (TMD) factorization of quasi wave function amplitude. Theoretically, the pattern of renormalon cancellation complies with general expectations to marginal asymptotics in the UV limit. Practically, this linear renormalon explains the slow convergence of imaginary parts observed in lattice extraction of the Collins-Soper kernel and signals the relevance of next-to-leading power contributions. Fully factorized, fully controlled threshold asymptotic expansion for space-like quark-bilinear coefficient functions in coordinate and moment space has also been proposed.

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Lattice calculation of the intrinsic soft function and the Collins-Soper kernel

Cited by 17 publications

References 71 publications

Overview of hadron structure from lattice QCD

Overview of hadron structure from lattice QCD

Transverse momentum dependent distribution functions in the threshold limit

Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators

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