QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum

Abstract

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum dependent parton distributions and fragmentation functions with gauge links slightly off the light-cone, and with soft-gluon radiations subtracted. We verify the factorization to one-loop order in perturbative quantum chromodynamics and argue that it is valid to all orders in perturbation theory.

28 pages, figures included

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• Partonic State and Single Transverse Spin Asymmetries in Semi Inclusive DIS
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• Spin asymmetries for vector boson production in polarized p+p collisions
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• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Collinear Factorization for Single Transverse-Spin Asymmetry in Drell-Yan Processes
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• Long Range Correlation in Higgs Boson Plus Two Jets Production at the LHC
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• The difference cross sections of unpolarized SIDIS with transverse momentum dependence
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• Structure of divergences in Drell-Yan process with small transverse momentum
• Spin Asymmetries in Electron-jet Production at the EIC
• Non-Universality and Evolution of the Sivers Function
• Light-Cone Singularities and Transverse-Momentum-Dependent Factorization at Twist-3
• Understanding the Valence Quark Structure of the Pion through GTMDs
• Gluonic contributions to semi-inclusive DIS in the target fragmentation region
• Studies of Transverse Momentum Dependent Parton Distributions and Bessel Weighting
• The Collins asymmetry in electroproduction of Kaon at the electron ion colliders within TMD factorization
• Exploring non-perturbative Sudakov factor via $Z^0$-boson production in $pp$ collisions
• Extraction of the Sivers function with deep neural networks
• Effective role of unpolarized nonvalence partons in Drell-Yan single spin asymmetries
• Factorized approach to radiative corrections for inelastic lepton-hadron collisions
• Azimuthal asymmetry in SIDIS off nuclei as probe for $\hat{q}$
• Studies of spin-orbit correlations at JLAB
• The $\sin 2{\varphi }_h$ azimuthal asymmetry of pion production in SIDIS within TMD factorization
• Final State Interactions and the Transverse Structure of the Pion
• Scale Evolution of Unintegrated Distributions and the p_t Spectrum of Gauge Bosons
• Three dimensional imaging of the nucleon --- TMD (theory and phenomenology)
• TMD Relations: Insights from a Light-Front Quark-Diquark Model
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Probing the Sivers asymmetries through $J/\psi$ photoproduction in ${\mathrm{p}}^{\uparrow }\mathrm{p}$ collision with forward proton tagging
• Polarized vector meson production in semi-inclusive DIS
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• On the QCD Evolution of Transverse Momentum Dependent Distributions
• Left-right asymmetry for pion and kaon production in the semi-inclusive deep inelastic scattering process
• Higher-twist contributions to the transverse momentum broadening in semi-inclusive deep inelastic scattering off large nuclei
• Probing gluon TMDs with reconstructed and tagged heavy flavor hadron pairs at EIC
• Soft Gluon Resummation in Higgs Boson Plus Two Jet Production at the LHC
• SPIN Effects, QCD, and Jefferson Laboratory with 12 GeV electrons
• Collins function for pion-in-jet production in polarized $pp$ collisions: a test of universality and factorization
• The cos${\varphi }_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS
• Investigating the transverse momentum dependent gluon Sivers function in quarkonium production at $pp$ colliders
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Mapping the internal structure of hadrons through color and spin effects
• Charm fragmentation functions in the Nambu-Jona-Lasinio model
• Measurement of the Transverse Single-Spin Asymmetry for Mid-rapidity Production of Neutral Pions in Polarized p+p Collisions at 200 GeV Center-of-Mass Energy
• Parton distributions and $\cos 2{\varphi }_h$ asymmetry induced by anomalous photon-quark coupling
• Intrinsic parton motion soft mechanisms and the longitudinal spin asymmetry A_LL in high energy pp -> pi X
• Lepton pair production in ultra-peripheral collisions
• CFNS Ad-Hoc meeting on Radiative Corrections Whitepaper
• Dihadron Angular Correlations in the $e^{+}{e}^{-}$ Collision
• Kotzinian-Mulders effect in semi-inclusive DIS within TMD factorization
• Recent developments in nucleon spin structure with focus on h_{1L}^{\perp} and pretzelosity h_{1T}^\perp
• Back-to-back heavy quark pair production in Semi-inclusive DIS
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model
• Accessing tri-gluon correlations in the nucleon via the single spin asymmetry in open charm production
• Sivers effect in semi-inclusive DIS and in the Drell-Yan process
• Universality and Evolution of TMDs
• Nucleon Tomography with 0-jettiness
• Transverse momentum dependent quark distributions and polarized Drell-Yan processes
• Deep Neural Network extraction of Unpolarized Transverse Momentum Distributions
• On the Relation Between Mechanisms for Single-Transverse-Spin Asymmetries
• Fragmentation contributions to transverse nucleon spin observables in semi-inclusive deep-inelastic scattering at NLO
• Non-universality of transverse Coulomb exchange at small x
• Mechanical properties of proton in the momentum space
• Collins asymmetries for pion-in-jet production in polarized $\ell p$ collisions at the EIC
• Role of higher twist distributions in the tomography of proton
• Test of the Universality of Naive-time-reversal-odd Fragmentation Functions
• Hyperon Polarization in Unpolarized Scattering Processes
• Phenomenology of Transverse Momentum Dependent Parton Densities
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• Studying transverse momentum distributions with jets at N${}^3$LL
• Studies of TMDs with CLAS
• Evolution of unpolarized transverse momentum dependent parton distributions of twist-3