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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…

High Energy Physics - Phenomenology · Physics 2022-11-09 Valerio Bertone

We present the perturbative calculation of the leading-twist gluon transverse momentum dependent distribution functions (TMDPDFs) at one-loop level within large-momentum effective theory. By employing the basis of circular polarizations, we…

High Energy Physics - Phenomenology · Physics 2025-12-10 Xiupeng Xie , Zhun Lu

We derive new Lorentz Invariance and Equation of Motion Relations between twist-three Generalized Parton Distributions (GPDs) and moments in the parton transverse momentum, $k_T$, of twist-two Generalized Transverse Momentum-Dependent…

High Energy Physics - Phenomenology · Physics 2018-10-31 Abha Rajan , Michael Engelhardt , Simonetta Liuti

Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the…

High Energy Physics - Phenomenology · Physics 2022-09-19 Stella T. Schindler , Iain W. Stewart , Yong Zhao

We investigate the leading twist generalized transverse momentum dependent parton distributions (GTMDs) of the unpolarized and longitudinally polarized gluons in the nucleon. We adopt a light-front gluon-triquark model for the nucleon…

High Energy Physics - Phenomenology · Physics 2024-02-28 Chentao Tan , Zhun Lu

We revisit the evolution of generalised parton distributions (GPDs) at the leading order in the strong coupling constant $\alpha_s$ for all of the twist-2 quark and gluon operators. We rederive the relevant one-loop evolution kernels,…

High Energy Physics - Phenomenology · Physics 2024-02-16 Valerio Bertone , Rafael F. del Castillo , Miguel G. Echevarria , Óscar del Río , Simone Rodini

Perturbative matching relates the parton quasi-distributions, defined by Euclidean correlators at finite hadron momenta, to the light-cone distributions which are accessible in experiments. Previous matching calculations have exclusively…

High Energy Physics - Phenomenology · Physics 2023-07-14 Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Aurora Scapellato , Fernanda Steffens

We present a calculation of the leading-twist (twist-2) generalized transverse momentum distributions (GTMDs) for unpolarized and longitudinally polarized gluons in the proton, using a recently developed light-front gluon spectator model…

High Energy Physics - Phenomenology · Physics 2025-12-23 Dipankar Chakrabarti , Bheemsehan Gurjar , Asmita Mukherjee , Kauship Saha

We present a systematic study of generalized transverse-momentum dependent parton distributions (GTMDs). By taking specific limits or projections, these GTMDs yield various transverse-momentum dependent and generalized parton distributions,…

High Energy Physics - Phenomenology · Physics 2011-05-12 Cédric Lorcé , Barbara Pasquini , Marc Vanderhaeghen

We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by…

High Energy Physics - Phenomenology · Physics 2026-04-07 Yu Jiao Zhu

Transverse momentum dependent parton distribution functions (TMDPDFs) provide a unique probe of the three-dimensional spin structure of hadrons. We construct spin-dependent quasi-TMDPDFs that are amenable to lattice QCD calculations and…

High Energy Physics - Phenomenology · Physics 2020-10-02 Markus A. Ebert , Stella T. Schindler , Iain W. Stewart , Yong Zhao

We revisit the evolution of generalised parton distributions (GPDs) in momentum space. We formulate the evolution kernels at one-loop in perturbative QCD (pQCD) in a form suitable for numerical implementation and that allows for an accurate…

High Energy Physics - Phenomenology · Physics 2022-10-12 Valerio Bertone , Hervé Dutrieux , Cédric Mezrag , José M. Morgado , Hervé Moutarde

We present the first calculation of the $x$-dependence of the isovector transversity generalized parton distributions (GPDs) for the proton within lattice QCD. We compute the matrix elements with non-local operators containing a Wilson…

Generalized transverse momentum dependent parton distributions (GTMDs), as mother funtions of transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs), encode the most general parton structure of…

High Energy Physics - Phenomenology · Physics 2020-12-01 Xuan Luo , Hao Sun

We compute the complete set of the leading-twist gluon and sea-quark generalized transverse momentum distributions (GTMDs) in the small-$x$, or eikonal, approximation at vanishing skewness $\xi = 0$. All the gluon GTMDs become expressed in…

High Energy Physics - Phenomenology · Physics 2026-03-09 Sanjin Benić , Yoshikazu Hagiwara , Boris Šarić , Eric Andreas Vivoda

We provide a concise overview on transverse momentum dependent (TMD) parton distribution functions, their application to topical issues in high-energy physics phenomenology, and their theoretical connections with QCD resummation, evolution…

The cross section for transverse momentum dependent double parton scattering involves transverse momentum dependent double parton distributions (DTMDs). In the region of perturbative transverse momentum the DTMDs can be matched onto…

High Energy Physics - Phenomenology · Physics 2016-11-02 Maarten G. A. Buffing , Markus Diehl , Tomas Kasemets

The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-06-05 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

We present first results from our analysis of the most general quark-quark correlator of the nucleon, which can be parameterized in terms of so-called generalized transverse momentum dependent parton distributions. These results include the…

High Energy Physics - Phenomenology · Physics 2008-12-23 S. Meissner , A. Metz , M. Schlegel

In this paper we consider the parametrizations of gluon transverse momentum dependent (TMD) correlators in terms of TMD parton distribution functions (PDFs). These functions, referred to as TMDs, are defined as the Fourier transforms of…

High Energy Physics - Phenomenology · Physics 2016-11-03 Daniël Boer , Sabrina Cotogno , Tom van Daal , Piet J. Mulders , Andrea Signori , Ya-Jin Zhou
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