An Overview of Transverse Momentum Dependent Factorization and Evolution

Abstract

I review TMD factorization and evolution theorems, with an emphasis on the treatment by Collins and originating in the Collins-Soper-Sterman (CSS) formalism. I summarize basic results while attempting to trace their development over that past several decades.

14 pages, 1 figure, Submission to EPJ A topical issue on "3D Structure of the Nucleon"

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Cited by in corpus (48)

• The Large Hadron-Electron Collider at the HL-LHC
• Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
• Parton Fragmentation Functions
• Parton distributions and lattice QCD calculations: toward 3D structure
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Transversity parton distribution functions from lattice QCD
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Introduction to GPDs and TMDs
• Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism
• Resummation of Transverse Momentum Distributions in Distribution Space
• Double hard scattering without double counting
• Connecting Different TMD Factorization Formalisms in QCD
• Hunting BFKL in semi-hard reactions at the LHC
• A Fixed-Target Programme at the LHC: Physics Case and Projected Performances for Heavy-Ion, Hadron, Spin and Astroparticle Studies
• Flavor dependence of unpolarized quark Transverse Momentum Distributions from a global fit
• Diffractive production of $\Lambda$ hyperons in the high-energy limit of strong interactions
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• Effect of flavor-dependent partonic transverse momentum on the determination of the $W$ boson mass in hadronic collisions
• Challenges with Large Transverse Momentum in Semi-Inclusive Deeply Inelastic Scattering
• Where do we stand with a 3-D picture of the proton?
• Intrinsic Transverse Motion of the Pion's Valence Quarks
• Transverse momentum structure of proton within the basis light-front quantization framework
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• Predictive power of transverse-momentum-dependent distributions
• Connections between collinear and transverse-momentum-dependent polarized observables within the Collins-Soper-Sterman formalism
• Predicting the light-front holographic TMDs of the pion
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model
• Quark fragmentation as a probe of dynamical mass generation
• Beam-helicity asymmetries for single-hadron production in semi-inclusive deep-inelastic scattering from unpolarized hydrogen and deuterium targets
• Possibility of hypothetical stable micro black hole production at future 100 TeV collider
• Intrinsic Transverse Momentum and Evolution in Weighted Spin Asymmetries
• Role of transverse momentum dependence of unpolarised parton distribution and fragmentation functions in the analysis of azimuthal spin asymmetries
• Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
• QCD$\times$QED evolution of TMDs
• Collinear Factorization in Wide-Angle Hadron Pair Production in $e^{+}{e}^{-}$ Annihilation
• The resolution to the problem of consistent large transverse momentum in TMDs
• Basics of factorization in a scalar Yukawa field theory
• Transverse moments of TMD parton densities and ultraviolet divergences
• Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• T-odd proton-helicity asymmetry in semi-inclusive DIS in perturbative QCD
• Statistical Behavior of Lepton Pair Spectrum in Drell-Yan Process and Signal from Quark-Gluon Plasma in High Energy Collisions
• Collinear and TMD distributions with dynamical soft-gluon resolution scale
• A semi-analytical $x$-space solution for parton evolution -- Application to non-singlet and singlet DGLAP equation
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions