Lattice QCD Calculations of Transverse-Momentum-Dependent Soft Function through Large-Momentum Effective Theory

Zhang, Qi-An; Hua, Jianfeng; Huo, Yi-Kai; Ji, Xiangdong; Liu, Yizhuang; Liu, Yusheng; Schlemmer, Maximilian; Schäfer, Andreas; Sun, Peng; Wang, Wei; Yang, Yi-Bo

doi:10.1103/physrevlett.125.192001

Cited by 85 publications

(57 citation statements)

References 24 publications

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“…For the rapidity dependent part, the results from Ref. [388] (red/blue points) are consistent with those from Ref. [387] (green/brown points).…”

Section: -D and 3-d Structure Of Nucleonssupporting

confidence: 85%

“…Namely, from the equal time correlations that can be computed in lattice QCD, one obtains the so-called quasi-PDFs; and when the nucleon momentum is large enough, quasi-PDFs can be matched perturbatively to the physi-Fig. 2.31 Lattice results for the TMD soft function: intrinsic part (left panel) [388] and rapidity dependent part (right panel) [387,388]. For the rapidity dependent part, the results from Ref.…”

Section: -D and 3-d Structure Of Nucleonsmentioning

confidence: 99%

“…Recently, it was argued that this difficulty can be overcome [386]; and as shown in Fig. 2.31, several lattice QCD attempts at compuation of the soft function have been carried out [387,388]. This opens a path to prediction of TMD-related quantities using lattice QCD.…”

Section: -D and 3-d Structure Of Nucleonsmentioning

confidence: 99%

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Electron-ion collider in China

et al. 2021

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Lepton scattering is an established ideal tool for studying inner structure of small particles such as nucleons as well as nuclei. As a future high energy nuclear physics project, an Electron-ion collider in China (EicC) has been proposed. It will be constructed based on an upgraded heavy-ion accelerator, High Intensity heavy-ion Accelerator Facility (HIAF) which is currently under construction, together with a new electron ring. The proposed collider will provide highly polarized electrons (with a polarization of ∼80%) and protons (with a polarization of ∼70%) with variable center of mass energies from 15 to 20 GeV and the luminosity of (2–3) × 1033 cm−2 · s−1. Polarized deuterons and Helium-3, as well as unpolarized ion beams from Carbon to Uranium, will be also available at the EicC.The main foci of the EicC will be precision measurements of the structure of the nucleon in the sea quark region, including 3D tomography of nucleon; the partonic structure of nuclei and the parton interaction with the nuclear environment; the exotic states, especially those with heavy flavor quark contents. In addition, issues fundamental to understanding the origin of mass could be addressed by measurements of heavy quarkonia near-threshold production at the EicC. In order to achieve the above-mentioned physics goals, a hermetical detector system will be constructed with cutting-edge technologies.This document is the result of collective contributions and valuable inputs from experts across the globe. The EicC physics program complements the ongoing scientific programs at the Jefferson Laboratory and the future EIC project in the United States. The success of this project will also advance both nuclear and particle physics as well as accelerator and detector technology in China.

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“…For the rapidity dependent part, the results from Ref. [388] (red/blue points) are consistent with those from Ref. [387] (green/brown points).…”

Section: -D and 3-d Structure Of Nucleonssupporting

confidence: 85%

Section: -D and 3-d Structure Of Nucleonsmentioning

confidence: 99%

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Electron-ion collider in China

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“…The progress in NNLO calculation for TMD distributions have allowed many cutting-edge calculations for phenomenology, including fixed-order calculation at NNLO and beyond [29][30][31][32][33][34] and resummation for large logarithms at small q T at unprecedented N 3 LL accuracy [34][35][36][37][38][39][40][41]. We also note that perturbative calculation for TMD quantities suitable for lattice calculation [42][43][44][45] has also made important progress recently [46].…”

Section: Introductionmentioning

confidence: 87%

Unpolarized quark and gluon TMD PDFs and FFs at N3LO

Luo

Yang

Zhu

et al. 2021

J. High Energ. Phys.

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In this paper we calculate analytically the perturbative matching coefficients for unpolarized quark and gluon Transverse-Momentum-Dependent (TMD) Parton Distribution Functions (PDFs) and Fragmentation Functions (FFs) through Next-to-Next-to-Next-to-Leading Order (N3LO) in QCD. The N3LO TMD PDFs are calculated by solving a system of differential equation of Feynman and phase space integrals. The TMD FFs are obtained by analytic continuation from space-like quantities to time-like quantities, taking into account the probability interpretation of TMD PDFs and FFs properly. The coefficient functions for TMD FFs exhibit double logarithmic enhancement at small momentum fraction z. We resum such logarithmic terms to the third order in the expansion of αs. Our results constitute important ingredients for precision determination of TMD PDFs and FFs in current and future experiments.

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“…In either case, the mismatch to the full result is then in principle captured by a corresponding nonperturbative contribution. Recently, it was shown that the fullγ i ν may also be determined from lattice calculations [184][185][186][187][188], and that estimates of the first subleading power in b T Λ QCD can also be related to the gluon condensate [189].…”

Section: Canonical Scales and Nonperturbative Prescriptionmentioning

confidence: 99%

Drell-Yan qT resummation of fiducial power corrections at N3LL

Ebert

Michel

Stewart

et al. 2021

J. High Energ. Phys.

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We consider Drell-Yan production pp → V*X → LX at small qT ≪ Q, where qT and Q are the total transverse momentum and invariant mass of the leptonic final state L. Experimental measurements require fiducial cuts on L, which in general introduce enhanced, linear power corrections in qT/Q. We show that they can be unambiguously predicted from factorization, and resummed to the same order as the leading-power contribution. For the fiducial qT spectrum, they constitute the complete linear power corrections. We thus obtain predictions for the fiducial qT spectrum to N3LL and next-to-leading-power in qT/Q. Matching to full NNLO ($$ {\alpha}_s^2 $$ α s 2 ), we find that the linear power corrections are indeed the dominant ones, and once included by factorization, the remaining fixed-order corrections become almost negligible below qT ≲ 40 GeV. We also discuss the implications for more complicated observables, and provide predictions for the fiducial ϕ* spectrum at N3LL+NNLO. We find excellent agreement with ATLAS and CMS measurements of qT and ϕ*. We also consider the $$ {p}_T^{\mathrm{\ell}} $$ p T ℓ spectrum. We show that it develops leptonic power corrections in qT/(Q − 2$$ {p}_T^{\mathrm{\ell}} $$ p T ℓ ), which diverge near the Jacobian peak $$ {p}_T^{\mathrm{\ell}} $$ p T ℓ ∼ Q/2 and must be kept to all powers to obtain a meaningful result there. Doing so, we obtain for the first time an analytically resummed result for the $$ {p}_T^{\mathrm{\ell}} $$ p T ℓ spectrum around the Jacobian peak at N3LL+NNLO. Our method is based on performing a complete tensor decomposition for hadronic and leptonic tensors. We show that in practice this is equivalent to often-used recoil prescriptions, for which our results now provide rigorous, formal justification. Our tensor decomposition yields nine Lorentz-scalar hadronic structure functions, which for Z/γ* → ℓℓ or W → ℓν directly map onto the commonly used angular coefficients, but also holds for arbitrary leptonic final states. In particular, for suitably defined Born-projected leptons it still yields a LO-like angular decomposition even when including QED final-state radiation. Finally, we also discuss the application to qT subtractions. Including the unambiguously predicted fiducial power corrections significantly improves their performance, and in particular makes them applicable near kinematic edges where they otherwise break down due to large leptonic power corrections.

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Lattice QCD Calculations of Transverse-Momentum-Dependent Soft Function through Large-Momentum Effective Theory

Cited by 85 publications

References 24 publications

Electron-ion collider in China

Electron-ion collider in China

Unpolarized quark and gluon TMD PDFs and FFs at N3LO

Drell-Yan qT resummation of fiducial power corrections at N3LL

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