Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions

Abstract

We perform an analysis of transverse-momentum dependent parton distribution functions, making use of their renormalization properties in terms of their leading-order anomalous dimensions. We show that the appropriate Wilson line in the light-cone gauge, associated with such quantities, is a cusped one. To cancel the ensuing cusp anomalous dimension, we include in the definition of the transverse-momentum dependent parton distribution functions an additional soft counter term (gauge link) along that contour. We demonstrate that this is tantamount to an ``intrinsic (Coulomb) phase'', which accumulates the full gauge history of the color-charged particle.

4 pages, 3 figures embedded. v2: derivation of transverse gauge link added including one more figure. Text expanded to 6 pages. Four references added. Conclusions unchanged. Matches version to appear in PRD

References in corpus (11)

• Unraveling hadron structure with generalized parton distributions
• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Final state interactions and gauge invariant parton distributions
• Universality of T-odd effects in single spin and azimuthal asymmetries
• Universality of soft and collinear factors in hard-scattering factorization
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• Infrared divergences and non-lightlike eikonal lines in Sudakov processes
• Endpoint singularities in unintegrated parton distributions
• The light-cone gauge and the calculation of the two-loop splitting functions

Cited by in corpus (69)

• QCD and strongly coupled gauge theories: challenges and perspectives
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Generalized parton correlation functions for a spin-1/2 hadron
• Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
• Transverse momentum dependent parton distributions in a light-cone quark model
• The transverse momentum dependent distribution functions in the bag model
• Generalized parton correlation functions for a spin-0 hadron
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Extending Soft-Collinear-Effective-Theory to describe hard jets in dense QCD media
• Intrinsic transverse parton momenta in deeply inelastic reactions
• Azimuthal spin asymmetries in light-cone constituent quark models
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions
• Fully-Unintegrated Parton Distribution and Fragmentation Functions at Perturbative k_T
• Equality of Two Definitions for Transverse Momentum Dependent Parton Distribution Functions
• Transverse momentum dependent distributions with jets
• Sivers and Boer-Mulders functions in Light-Cone Quark Models
• Forward Z-boson production and the unintegrated sea quark density
• Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion
• Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process
• New definition of TMD parton densities
• Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
• Pretzelosity distribution function h_1T^perp and the single spin asymmetry A_UT^sin(3phi-phi_S)
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• Nonperturbative contributions to a resummed leptonic angular distribution in inclusive neutral vector boson production
• Twist-2 matching of transverse momentum dependent distributions
• Analytic Continuation and Reciprocity Relation for Collinear Splitting in QCD
• Angular correlations in multi-jet final states from kt-dependent parton showers
• SCET, Light-Cone Gauge and the T-Wilson Lines
• Possible resolution of the B -> pi pi, pi K puzzles
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription
• Extra Spin Asymmetries From the Breakdown of TMD-Factorization in Hadron-Hadron Collisions
• Transverse Momentum Distributions in the Non-Perturbative Region
• Transverse Momentum Dependent Parton Distribution/Fragmentation Functions at an Electron-Ion Collider
• An Exclusive Soft Function for Drell-Yan at Next-to-Next-to-Leading Order
• Unpolarized Quark and Gluon TMD PDFs and FFs at N${}^3$LO
• Wilson lines in transverse-momentum dependent parton distribution functions with spin degrees of freedom
• Rapidity divergences and valid definitions of parton densities
• Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions
• Cusped light-like Wilson loops in gauge theories
• Sub-leading twist transverse momentum dependent parton distributions in the light-front quark-diquark model
• Twist-4 T-even proton TMDs in the light-front quark-diquark model
• Renormalization-group anatomy of transverse-momentum dependent parton distribution functions in QCD
• Evolution of cusped light-like Wilson loops and geometry of the loop space
• Exploring twist-4 chiral-even GPDs in the light-front quark-diquark model
• TMD PDFs in the Laguerre polynomial basis
• On a Wilson lines approach to the study of jet quenching
• On correlations in high-energy hadronic processes and the CMS ridge: A manifestation of quantum entanglement?
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Structure of divergences in Drell-Yan process with small transverse momentum
• The T-Wilson Line
• Nonperturbative contributions to a resummed leptonic angular distribution in inclusive $Z/{\gamma }^{\ast }$ boson production
• Non-dipolar Wilson links for transverse-momentum-dependent wave functions
• On Geometric Scaling of Light-Like Wilson Polygons: Higher Orders in ${\alpha }_s$
• Nucleon tomography. What can we do better today than Rutherford 100 years ago?
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• Gauge invariance and renormalization-group effects in transverse-momentum dependent parton distribution functions
• Fréchet derivative for light-like Wilson Loops
• Transverse-Distance Dependent Parton Densities in the Large-$x$ Regime
• On the QCD Evolution of Transverse Momentum Dependent Distributions
• TMDs in Laguerre polynomial basis
• Key features of the TMD soft-factor structure
• Evolution of unpolarized transverse momentum dependent parton distributions of twist-3
• Recent developments in nucleon spin structure with focus on h_{1L}^{\perp} and pretzelosity h_{1T}^\perp
• Role and Properties of Wilson Lines in Transverse-Momentum-Dependent Parton Distribution Functions
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes