Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order

Abstract

The partons' transverse momentum can be explored with QCD lattice simulations by studying the quasi-transverse-momentum-dependent parton distribution functions (qTMDPDFs), which are factorized in terms of physical TMDPDFs and soft factors in the limit of the large hadron's momentum. We present the next-to-next-to-leading order (NNLO) calculation of the coefficient function for this factorization. Together with already known expressions for anomalous dimensions, this result allows analysis of lattice data at NNLO perturbative accuracy.

8 pages, 2 figures; v2: N3LO logarithms added in appendix; v3: Corrected misprint on (33), and misprints

References in corpus (11)

• Quark and gluon form factors to three loops
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
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• Determination of the Collins-Soper Kernel from Lattice QCD
• Lattice QCD Study of Transverse-Momentum Dependent Soft Function
• Factorization connecting continuum and lattice TMDs
• Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
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• One-loop Matching for Spin-Dependent Quasi-TMDs
• Definition and evolution of transverse momentum dependent distribution of twist-three

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• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness