Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
arXiv:2207.09526 · doi:10.1140/epjc/s10052-022-10863-3
Abstract
The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to obtain GTMDs in the perturbative regime in terms of generalised parton distributions (GPDs). In the unpolarised case, non-perturbative corrections can be incorporated using recent determinations of transverse-momentum-dependent (TMD) distributions. Evolution effects for GTMDs closely follow those for TMDs and can thus be easily accounted for up to next-to-next-to-leading logarithmic accuracy. As a by-product, the relevant one-loop anomalous dimensions are derived, confirming previous results. As a practical application, numerical results for a specific kind of GTMDs are presented, highlighting some salient features.
arXiv comment28 pages including references, 6 figures, accompanied by a code to reproduce the numerical results
References in corpus (73)
- Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
- Generalized Parton Distributions
- New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
- Impact Parameter Space Interpretation for Generalized Parton Distributions
- Off-Forward Parton Distributions
- Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
- Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC
- The Path to Proton Structure at One-Percent Accuracy
- Electron-Ion Collider in China
- Generalized parton distributions and strong forces inside nucleons and nuclei
- APFEL: A PDF Evolution Library with QED corrections
- Generalized parton distributions in impact parameter space
- TMD Parton Distribution and Fragmentation Functions with QCD Evolution
- Quasi-PDFs, momentum distributions and pseudo-PDFs
- Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
- Quark Imaging in the Proton Via Quantum Phase-Space Distributions
- Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
- Generalized parton correlation functions for a spin-1/2 hadron
- The role of the quark and gluon GPDs in hard vector-meson electroproduction
- Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
- Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
- Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
- An attempt to understand exclusive pi+ electroproduction
- Vector meson electroproduction at small Bjorken-x and generalized parton distributions
- Transverse-momentum-dependent parton distributions up to NLL from Drell-Yan data
- The quark orbital angular momentum from Wigner distributions and light-cone wave functions
- Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
- Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
- Probing the Small- Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
- Fiducial distributions in Higgs and Drell-Yan production at NLL+NNLO
- The Universal Transverse Momentum Dependent Soft Function at NNLO
- Generalized parton correlation functions for a spin-0 hadron
- Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
- Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
- Simultaneous Monte Carlo analysis of parton densities and fragmentation functions
- Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
- Strange quark suppression from a simultaneous Monte Carlo analysis of parton distributions and fragmentation functions
- Approximate NLO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aNLO PDFs
- Towards Quasi-Transverse Momentum Dependent PDFs Computable on the Lattice
- Transverse momentum dependent PDFs at NLO
- Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
- Accessing the gluon Wigner distribution in ultraperipheral collisions
- Generalized TMDs and the exclusive double Drell-Yan process
- Twist-2 Generalized TMDs and the Spin/Orbital Structure of the Nucleon
- Wandzura-Wilczek approximation for the twist-3 DVCS amplitude
- The deconvolution problem of deeply virtual Compton scattering
- Singular and Regular Gauges in Soft Collinear Effective Theory: The Introduction of the New Wilson Line T
- Pion and kaon fragmentation functions at next-to-next-to-leading order
- Connecting Different TMD Factorization Formalisms in QCD
- Diffractive dijet production in impact parameter dependent saturation models
- Description and interpretation of DVCS measurements
- DVCS amplitude with kinematical twist-3 terms
- Generalized quasi parton distributions in a diquark spectator model
- Wigner, Husimi and GTMD distributions in the Color Glass Condensate
- Proper definition and evolution of generalized transverse momentum distributions
- Collinear matching for Sivers function at next-to-leading order
- Contact interaction analysis of pion GTMDs
- Checking the Burkardt sum rule for the Sivers function by model calculations
- Generalized parton distributions through universal moment parameterization: zero skewness case
- DVCS on the nucleon to the twist-3 accuracy
- Multipole decomposition of the nucleon transverse phase space
- Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
- Quark Wigner Distributions Using Light-Front Wave Functions
- Wigner Distributions For Gluons
- Disentangling Long and Short Distances in Momentum-Space TMDs
- Resumming soft and collinear contributions in deeply virtual Compton scattering
- Transverse Momentum Dependent Fragmentation Functions from recent BELLE data
- Definition and evolution of transverse momentum dependent distribution of twist-three
- Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model
- Artificial neural network modelling of generalised parton distributions
- GTMDs and the factorization of exclusive double Drell-Yan
- T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
- TMD PDFs in the Laguerre polynomial basis