Transverse-Momentum-Dependent Parton Distribution Functions from Large-Momentum Effective Theory
arXiv:1911.03840 · doi:10.1016/j.physletb.2020.135946
Abstract
We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive deep-inelastic scattering with observed small transverse momentum, can be obtained from Euclidean QCD calculations in the framework of large-momentum effective theory (LaMET). We present a LaMET factorization of the Euclidean quasi-TMDPDFs in terms of the physical TMDPDFs and off-light-cone soft function at leading order in expansion, with the perturbative matching coefficient satisfying a renormalization group equation. We also discuss the implementation in lattice QCD with finite-length gauge links as well as the rapidity-regularization-independent factorization for Drell-Yan cross section.
arXiv comment8 pages, 4 figures
References in corpus (24)
- Parton Physics on Euclidean Lattice
- QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
- Final state interactions and gauge invariant parton distributions
- Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
- Universality of soft and collinear factors in hard-scattering factorization
- QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
- Quark and gluon form factors to three loops
- Three-Loop Results for Quark and Gluon Form Factors
- Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions
- On the Renormalizability of Quasi Parton Distribution Functions
- Renormalization in Large Momentum Effective Theory of Parton Physics
- Exploring quark transverse momentum distributions with lattice QCD
- Sivers and Boer-Mulders observables from lattice QCD
- Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
- Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
- Intrinsic quark transverse momentum in the nucleon from lattice QCD
- Three-loop anomalous dimension of the heavy-light quark current in HQET
- Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
- Nucleon Transverse Momentum-dependent Parton Distributions in Lattice QCD: Renormalization Patterns and Discretization Effects
- Transverse Momentum Dependent Quasi-Parton-Distributions
- New definition of TMD parton densities
- Lattice QCD study of the Boer-Mulders effect in a pion
- Transverse momentum dependent factorization for lattice observables
- Gluon Helicity Delta G from a Universality Class of Operators on a Lattice
Cited by in corpus (41)
- Electron-Ion Collider in China
- Large-Momentum Effective Theory
- Parton distributions and lattice QCD calculations: toward 3D structure
- Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
- Lattice QCD calculation of the Collins-Soper kernel from quasi TMDPDFs
- Precision Studies of QCD in the Low Energy Domain of the EIC
- Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
- Determination of the Collins-Soper Kernel from Lattice QCD
- The Four Loop QCD Rapidity Anomalous Dimension
- The Present and Future of QCD
- Transversity GPDs of the proton from lattice QCD
- Computing Light-Front Wave Functions Without Light-Front Quantization: A Large-Momentum Effective Theory Approach
- Factorization connecting continuum and lattice TMDs
- Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
- Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
- Threshold resummation for computing large- parton distribution through large-momentum effective theory
- Unpolarized Quark and Gluon TMD PDFs and FFs at NLO
- Single Transverse-Spin Asymmetry and Sivers Function in Large Momentum Effective Theory
- Nonperturbative Collins-Soper Kernel from Chiral Quarks with Physical Masses
- Overview of lattice calculations of the -dependence of PDFs, GPDs and TMDs
- One-loop matching for gluon lattice TMDs
- Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
- Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
- Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited
- One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
- Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
- Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order
- Gluon Transverse-Momentum-Dependent Distributions from Large-Momentum Effective Theory
- Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
- Double parton distributions in the pion from lattice QCD
- Chiral Perturbation for Large Momentum Effective Field Theory
- Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
- Mapping Parton Distributions of Hadrons with Lattice QCD
- Collins-Soper Kernel in the QCD Instanton Vacuum
- Collins-Soper kernel from lattice QCD at the physical pion mass
- Counting linearly polarized gluons with lattice QCD
- The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
- Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities
- 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