Renormalization and Matching for the Collins-Soper Kernel from Lattice QCD
arXiv:1910.08569 · doi:10.1007/JHEP03(2020)099
Abstract
The Collins-Soper kernel, which governs the energy evolution of transverse-momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key ingredient for extracting TMDPDFs from experiment. Earlier we proposed a method to calculate this kernel from ratios of the so-called quasi-TMDPDFs determined with lattice QCD, which are defined as hadronic matrix elements of staple-shaped Euclidean Wilson line operators. Here we provide the one-loop renormalization of these operators in a regularization-independent momentum subtraction (RI/MOM) scheme, as well as the conversion factor from the RI/MOM-renormalized quasi-TMDPDF to the scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination.
arXiv comment27 pages + appendices, 5 figures; v2: journal version
References in corpus (91)
- Soft-Collinear Factorization in Effective Field Theory
- The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
- The Three-Loop Splitting Functions in QCD: The Singlet Case
- Parton Physics on Euclidean Lattice
- A General Method for Non-Perturbative Renormalization of Lattice Operators
- Hard Scattering Factorization from Effective Field Theory
- A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
- Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
- Tevatron Run-1 Z Boson Data and Collins-Soper-Sterman Resummation Formalism
- The Rapidity Renormalization Group
- Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
- Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
- Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
- Nucleon Helicity and Transversity Parton Distributions from Lattice QCD
- Flavor Structure of the Nucleon Sea from Lattice QCD
- Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
- Extracting Parton Distribution Functions from Lattice QCD Calculations
- A Lattice Calculation of Parton Distributions
- Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
- One-Loop Matching for Parton Distributions: Non-Singlet Case
- Calculation of the transverse parton distribution functions at next-to-next-to-leading order
- Vector boson production at hadron colliders: hard-collinear coefficients at the NNLO
- A complete non-perturbative renormalization prescription for quasi-PDFs
- Universality of the Collins-Soper-Sterman nonperturbative function in gauge boson production
- Analysis of vector boson production within TMD factorization
- Perturbative Renormalization of quasi-PDFs
- Next-to-next-to-leading logarithmic corrections at small transverse momentum in hadronic collisions
- 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
- Pion Distribution Amplitude from Lattice QCD
- Soft-/rapidity- anomalous dimensions correspondence
- Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point
- Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
- Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
- On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
- The Universal Transverse Momentum Dependent Soft Function at NNLO
- Transversity parton distribution functions from lattice QCD
- Sivers and Boer-Mulders observables from lattice QCD
- Updated Lattice Results for Parton Distributions
- First direct lattice-QCD calculation of the -dependence of the pion parton distribution function
- Lattice Perturbation Theory
- Improved quasi parton distribution through Wilson line renormalization
- Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
- Large-nf Contributions to the Four-Loop Splitting Functions in QCD
- Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
- Matching the Quasi Parton Distribution in a Momentum Subtraction Scheme
- Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
- Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
- Power corrections and renormalons in parton quasi-distributions
- More On Large-Momentum Effective Theory Approach to Parton Physics
- Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
- Four-loop photon quark form factor and cusp anomalous dimension in the large- limit of QCD
- Accessing gluon parton distributions in large momentum effective theory
- Rapidity renormalized TMD soft and beam functions at two loops
- On the renormalization of quasi parton distribution
- Gluon Quasi-PDF From Lattice QCD
- New Fits for the Non-Perturbative Parameters in the CSS Resummation Formalism
- Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
- Matter dependence of the four-loop cusp anomalous dimension
- Non-perturbative QCD effects in spectra of Drell-Yan and -boson production
- One-loop matching for transversity generalized parton distribution
- Gluon quasidistribution function at one loop
- Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
- Nucleon Transverse Momentum-dependent Parton Distributions in Lattice QCD: Renormalization Patterns and Discretization Effects
- Transverse Momentum Dependent Quasi-Parton-Distributions
- Lattice QCD study of the Boer-Mulders effect in a pion
- Multiplicative renormalizability of quasi-parton operators
- Background field technique and renormalization in lattice gauge theory
- Four-loop quark form factor with quartic fundamental colour factor
- Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
- The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements
- Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
- Note on lattice regularization and equal-time correlators for parton distribution functions
- Parton distributions from lattice data: the nonsinglet case
- Lattice corrections to the quark quasidistribution at one-loop
- On the power divergence in quasi gluon distribution function
- Pion-induced Drell-Yan processes within TMD factorization
- Non-dipolar Wilson links for quasi-parton distribution functions
- One-loop renormalization of staple-shaped operators in continuum and lattice regularizations
- QCD Factorization and PDFs from Lattice QCD Calculation
- Light-cone distribution amplitudes of vector meson in large momentum effective theory
- Power corrections and renormalons in Transverse Momentum Distributions
- Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
- Renormalization of Wilson-line operators in the presence of nonzero quark masses
- Gaussian-weighted Parton Quasi-distribution
- Four-loop cusp anomalous dimension in QED
- Euclidean versus Minkowski short distance
- Target Mass Effects in Parton Quasi-Distributions
- Breakdown of Dimensional Regularization in the Sudakov Problem
Cited by in corpus (21)
- Large-Momentum Effective Theory
- Collins-Soper Kernel for TMD Evolution from Lattice QCD
- Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
- Lattice QCD calculation of the Collins-Soper kernel from quasi TMDPDFs
- Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
- Pion and Kaon Distribution Amplitudes in the Continuum Limit
- Lattice QCD Study of Transverse-Momentum Dependent Soft Function
- Transverse momentum dependent factorization for lattice observables
- One-loop matching for the twist-3 parton distribution
- Renormalization of transverse-momentum-dependent parton distribution on the lattice
- Predictive power of transverse-momentum-dependent distributions
- 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
- Combining nonperturbative transverse momentum dependence with TMD evolution
- Nonperturbative renormalization of asymmetric staple-shaped operators in twisted mass lattice QCD
- Renormalon Effects in Quasi Parton Distributions
- Chiral Perturbation for Large Momentum Effective Field Theory
- Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
- One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme