QCD Evolution of the Transverse Momentum Dependent Correlations

Abstract

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations involve more general twist-three functions beyond the correlation functions themselves. They provide important information on nucleon structure, and can be studied in the semi-inclusive hadron production in deep inelastic scattering and Drell-Yan lepton pair production in $pp$ scattering process.

13 pages, 1 figure

References in corpus (39)

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• Time-reversal odd distribution functions in leptoproduction
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Semi-inclusive deep inelastic scattering at small transverse momentum
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target
• 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
• QCD Factorization for Spin-Dependent Cross Sections in DIS and Drell-Yan Processes at Low Transverse Momentum
• Single Transverse-Spin Asymmetries in Hadronic Pion Production
• Initial-State Interactions and Single-Spin Asymmetries in Drell-Yan Processes
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• First Measurement of the Transverse Spin Asymmetries of the Deuteron in Semi-Inclusive Deep Inelastic Scattering
• Observation of a Single-Spin Azimuthal Asymmetry in Semi-Inclusive Pion Electro-Production
• Single spin asymmetry for $p^{\uparrow }p\to \pi X$ in perturbative QCD
• A Unified Picture for Single Transverse-Spin Asymmetries in Hard Processes
• Single transverse-spin asymmetry in high transverse momentum pion production in pp collisions
• Single-spin Azimuthal Asymmetries in Electroproduction of Neutral Pions in Semi-inclusive Deep-inelastic Scattering
• Dilepton production from polarized hadron hadron collisions
• Twist-3 Formalism for Single Transverse Spin Asymmetry Reexamined: Semi-Inclusive Deep Inelastic Scattering
• Renormalization of twist-three operators and integrable lattice models
• Single spin asymmetries in transversely polarized proton(antiproton) - proton inclusive processes
• Single Transverse-Spin Asymmetry in Drell-Yan Production at Large and Moderate Transverse Momentum
• Single-Transverse Spin Asymmetry in Semi-Inclusive Deep Inelastic Scattering
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• Integrability and WKB solution of twist-three evolution equations
• Parton intrinsic motion: suppression of the Collins mechanism for transverse single spin asymmetries in p(transv. polarised) p --> pion + X
• Scale dependence of the chiral-odd twist-3 distributions $h_L(x)$ and $e(x)$
• Q^2 Evolution of Chiral-Odd Twist-3 Distributions h_L(x, Q^2) and e(x, Q^2) in Large-N_c QCD
• QCD Corrections to the nucleon's spin structure function $G_2(x,Q^2)$
• Q^2-Evolution of Nucleon's Chiral-Odd Twist-3 Structure Function: h_L(x,Q^2)
• Evolution of transverse momentum dependent distribution and fragmentation functions
• Azimuthal and single spin asymmetry in deep-inelastic lepton-nucleon scattering
• Transversity measurements at HERMES
• The Singlet g_2 Structure Function in the Next-to-Leading Order

Cited by in corpus (64)

• Parton Fragmentation Functions
• QCD Evolution of the Sivers Asymmetry
• An Observation Concerning the Process Dependence of the Sivers Functions
• TMD Evolution: Matching SIDIS to Drell-Yan and W/Z Boson Production
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Evolution of the helicity and transversity Transverse-Momentum-Dependent parton distributions
• QCD Resummation for Single Spin Asymmetries
• Operator Constraints for Twist-3 Functions and Lorentz Invariance Properties of Twist-3 Observables
• Sivers and Boer-Mulders functions in Light-Cone Quark Models
• Global analysis of the Sivers functions at NLO+NNLL in QCD
• Global fitting of single spin asymmetry: an attempt
• QCD evolution of naive-time-reversal-odd parton distribution functions
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• Exploring the structure of the proton through polarization observables in l p \to jet X
• Lepton-jet Correlation in Deep Inelastic Scattering
• Updating Boer-Mulders functions from unpolarized pd and pp Drell-Yan data
• QCD evolution of naive-time-reversal-odd fragmentation functions
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• Next-to-leading order transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering: the role of the three-gluon correlator
• Transverse Momentum Dependent Parton Distribution/Fragmentation Functions at an Electron-Ion Collider
• Phenomenological constraints on $A_N$ in $p^{\uparrow }p\to \pi X$ from Lorentz invariance relations
• Analyzing the Boer-Mulders function within different quark models
• Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
• A note on the scale evolution of the ETQS function T_F(x,x)
• Scale Dependence of Twist-3 Quark-Gluon Operators for Single Spin Asymmetries
• Transverse single spin asymmetry in hadronic ${\eta }_{c,b}$ production
• Left-right spin asymmetry in $\ell N^{\uparrow }\to hX$
• Single transverse spin asymmetry of dilepton production near $Z^0$ pole
• Sivers asymmetry of Drell-Yan production in small-$x$ regime
• Single Transverse-Spin Asymmetry and Sivers Function in Large Momentum Effective Theory
• Analysis of the double-spin asymmetry A_LT in inelastic nucleon-nucleon collisions
• Double spin asymmetry A_{LT} in direct photon production
• Exact Relations for Twist-3 Gluon Distribution and Fragmentation Functions from Operator Identities
• Transverse spin asymmetries for W-production in proton-proton collisions
• Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes
• Quark-gluon correlation functions relevant to single transverse spin asymmetries
• Single Transverse Spin Asymmetries at Parton Level
• New pole contribution to $P_{h\perp }$-weighted single-transverse spin asymmetry in semi-inclusive deep inelastic scattering
• First global QCD analysis of the TMD ${\mathbf{g}}_{1\mathbf{T}}$ from semi-inclusive DIS data
• Transverse spin observables in hard-scattering hadronic processes within collinear factorization
• Drell-Yan Lepton Pair Azimuthal Asymmetry in Hadronic Processes
• Transverse single spin asymmetry in the Drell-Yan process
• One-Loop Corrections of Single Spin Asymmetries at Twist-3 in Drell-Yan Processes
• Sivers Asymmetry in the pion induced Drell-Yan process at COMPASS within TMD factorization
• A note on the scale dependence of the Burkardt sum rule
• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization
• Transverse single spin asymmetry $A_{UT}^{\sin ({\varphi }_h-{\varphi }_S)}$ for single hadron production in SIDIS
• Collinear Factorization for Single Transverse-Spin Asymmetry in Drell-Yan Processes
• Non-Universality and Evolution of the Sivers Function
• QCD Evolutions of Twist-3 Chirality-Odd Operators
• QCD Evolution Workshop: Introduction
• Factorization and its Breaking in Dijet Single Transverse Spin Asymmetries in $pp$ Collisions
• Three dimensional imaging of the nucleon --- TMD (theory and phenomenology)
• The $\sin 2{\varphi }_h$ azimuthal asymmetry of pion production in SIDIS within TMD factorization
• Azimuthal Dependence of DIS with Spin-1 Target
• SPIN Effects, QCD, and Jefferson Laboratory with 12 GeV electrons
• Aspects of TMD evolution of azimuthal asymmetries
• QCD evolution of naive-time-reversal-odd quark-gluon correlation functions
• Kotzinian-Mulders effect in semi-inclusive DIS within TMD factorization
• A semi-analytical $x$-space solution for parton evolution -- Application to non-singlet and singlet DGLAP equation
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes
• Nucleon Tomography with 0-jettiness
• Transversity studies with protons and light nuclei
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron