Transverse momentum dependent operator expansion at next-to-leading power

Abstract

We develop a method of transverse momentum dependent (TMD) operator expansion that yields the TMD factorization theorem on the operator level. The TMD operators are systematically ordered with respect to TMD-twist, which allows a certain separation of kinematic and genuine power corrections. The process dependence enters via the boundary conditions for the background fields. As a proof of principle, we derive the TMD factorization up to the next-to-leading power $(\sim q_T/Q)$ at the next-to-leading order for any process with two detected states.

arXiv comment58 pages, and 8 figures; v2: extra explanations + corrected misprints

References in corpus (65)

• Operator expansion for high-energy scattering
• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Invariant Operators in Collinear Effective Theory
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Hard Scattering Factorization from Effective Field Theory
• Semi-inclusive deep inelastic scattering at small transverse momentum
• 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
• 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
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• The Uses of Conformal Symmetry in QCD
• Calculation of the quark and gluon form factors to three loops in QCD
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
• The Rapidity Renormalization Group
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• Deep inelastic scattering as x -> 1 using soft-collinear effective theory
• Universal structure of subleading infrared poles in gauge theory amplitudes
• Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• Analysis of vector boson production within TMD factorization
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
• Soft-/rapidity- anomalous dimensions correspondence
• Analytic Regularization in Soft-Collinear Effective Theory
• The Universal Transverse Momentum Dependent Soft Function at NNLO
• Scale dependence of twist-three contributions to single spin asymmetries
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Subleading Power Rapidity Divergences and Power Corrections for $q_T$
• Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
• Anomalous dimension of subleading-power N-jet operators
• Gluon TMD in particle production from low to moderate x
• Matter dependence of the four-loop cusp anomalous dimension
• Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
• Determination of the Collins-Soper Kernel from Lattice QCD
• Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
• Self-contained definition of the Collins-Soper kernel
• Systematic analysis of double-scale evolution
• Transverse momentum dependent factorization for lattice observables
• Finite-t and target mass corrections to deeply virtual Compton scattering
• Semi-Inclusive Deep Inelastic Scattering in Wandzura-Wilczek-type approximation
• Jet axes and universal transverse-momentum-dependent fragmentation
• Decomposition of nonlocal light-cone operators into harmonic operators of definite twist
• Two-loop renormalization of Wilson loop for Drell-Yan production
• Power corrections to TMD factorization for Z-boson production
• Renormalization of Twist-Four Operators in QCD
• Collinear matching for Sivers function at next-to-leading order
• Lepton-jet Correlation in Deep Inelastic Scattering
• Higher-twist corrections to gluon TMD factorization
• Power corrections and renormalons in Transverse Momentum Distributions
• Breakdown of Dimensional Regularization in the Sudakov Problem
• Where do we stand with a 3-D picture of the proton?
• QCD factorization for twist-three axial-vector parton quasidistributions
• Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small x
• Off-shell initial state effects, gauge invariance and angular distributions in the Drell-Yan process
• A transverse momentum dependent framework for back-to-back photon+jet production
• Factorization of Power Corrections in the Drell-Yan Process in EFT
• Renormalization of twist-four operators in light-cone gauge
• On Rapidity Divergences in the Soft and Collinear Limits of QCD
• Twist-3 Double Spin Asymmetries in Drell-Yan Processes

Cited by in corpus (23)

• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• PDF bias and flavor dependence in TMD distributions
• Factorization connecting continuum and lattice TMDs
• Factorization for Azimuthal Asymmetries in SIDIS at Next-to-Leading Power
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Extraction of the higher-twist parton distribution $e(x)$ from CLAS data
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Transverse momentum moments
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• GTMDs and the factorization of exclusive double Drell-Yan
• Rapidity-only TMD factorization at one loop
• Gluon TMD fragmentation function into quarkonium
• Basics of factorization in a scalar Yukawa field theory
• Higher Twists
• Two-loop evolution kernels for colour dependent double parton distributions
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• T-odd proton-helicity asymmetry in semi-inclusive DIS in perturbative QCD
• Universality of the Collins-Soper kernel in lattice calculations
• Leading and higher twist transverse momentum dependent parton distribution functions in the spectator model
• Soft background fields at next-to-leading power in transverse momentum dependent SIDIS with jets
• Evolution of unpolarized transverse momentum dependent parton distributions of twist-3
• Connecting baryon light-front wave functions to quasi-transverse-momentum-dependent correlators in lattice QCD
• Deep Neural Network extraction of Unpolarized Transverse Momentum Distributions