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.

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

References in corpus (15)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Soft-/rapidity- anomalous dimensions correspondence
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• Collinear matching for Sivers function at next-to-leading order
• Higher-twist corrections to gluon TMD factorization
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• QCD factorization for twist-three axial-vector parton quasidistributions
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• Factorization of Power Corrections in the Drell-Yan Process in EFT
• 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