One-loop Matching for Spin-Dependent Quasi-TMDs

Abstract

Transverse momentum dependent parton distribution functions (TMDPDFs) provide a unique probe of the three-dimensional spin structure of hadrons. We construct spin-dependent quasi-TMDPDFs that are amenable to lattice QCD calculations and that can be used to determine spin-dependent TMDPDFs. We calculate the short-distance coefficients connecting spin-dependent TMDPDFs and quasi-TMDPDFs at one-loop order. We find that the helicity and transversity distributions have the same coefficient as the unpolarized TMDPDF. We also argue that the same is true for pretzelosity and that this spin universality of the matching will hold to all orders in ${\alpha }_s$. Thus, it is possible to calculate ratios of these distributions as a function of longitudinal momentum and transverse position utilizing simpler Wilson line paths than have previously been considered.

24 pages, 4 figures

References in corpus (45)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Time-reversal odd distribution functions in leptoproduction
• Parton Physics on Euclidean Lattice
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Hard Scattering Factorization from Effective Field Theory
• Semi-inclusive deep inelastic scattering at small transverse momentum
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Final state interactions and gauge invariant parton distributions
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Transverse Polarisation of Quarks in Hadrons
• Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• The Rapidity Renormalization Group
• Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
• Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
• Factorization of heavy-to-light form factors in soft-collinear effective theory
• Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
• Intrinsic transverse momentum and the polarized Drell-Yan process
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Exploring quark transverse momentum distributions with lattice QCD
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• Analytic Regularization in Soft-Collinear Effective Theory
• Transversity parton distribution functions from lattice QCD
• Sivers and Boer-Mulders observables from lattice QCD
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
• Rapidity renormalized TMD soft and beam functions at two loops
• QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution
• Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions
• Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
• Transverse Momentum Dependent Quasi-Parton-Distributions
• Lattice QCD study of the Boer-Mulders effect in a pion
• Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
• New observables in longitudinal single-spin asymmetries in semi-inclusive DIS
• Transverse momentum dependent factorization for lattice observables
• Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
• Twist-2 matching of transverse momentum dependent distributions
• SCET, Light-Cone Gauge and the T-Wilson Lines
• Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
• One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
• Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order
• A Note on Pretzelosity TMD Parton Distribution

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• Large-Momentum Effective Theory
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• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Single Transverse-Spin Asymmetry and Sivers Function in Large Momentum Effective Theory
• Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order
• T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
• Chiral Perturbation for Large Momentum Effective Field Theory
• Counting linearly polarized gluons with lattice QCD
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
• Lattice QCD Benchmark of Proton Helicity and Flavor-Dependent Unpolarized Transverse Momentum-Dependent Parton Distribution Functions at Physical Quark Masses