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We present a first lattice QCD calculation of the unpolarized nucleon's isovector transverse-momentum-dependent parton distribution functions (TMDPDFs), which are essential to predict observables of multi-scale, semi-inclusive processes in…

We study the power corrections to Transverse Momentum Distributions (TMDs) by analyzing renormalon divergences of the perturbative series. The renomalon divergences arise independently in two constituents of TMDs: the rapidity evolution…

High Energy Physics - Phenomenology · Physics 2017-04-05 Ignazio Scimemi , Alexey Vladimirov

We present a fit of the transverse momentum spectrum for Drell-Yan and semi-inclusive deep inelastic scattering data, based on transverse momentum dependent (TMD) factorization at N$^4$LL accuracy. Our analysis shows good agreement with the…

High Energy Physics - Phenomenology · Physics 2025-10-06 Valentin Moos , Ignazio Scimemi , Alexey Vladimirov , Pia Zurita

We investigate the transverse charge densities of the deuteron in a soft-wall AdS/QCD model by considering both the unpolarized and the transversely polarized cases. The deuteron form factors are derived from the soft-wall AdS/QCD model and…

High Energy Physics - Phenomenology · Physics 2017-08-11 Chao Huang , Bo-Qiang Ma

Analytical expressions for the Transverse Momentum Dependent (TMD, or unintegrated) gluon and sea quark densities in nuclei are derived at leading order of QCD running coupling. The calculations are performed in the framework of the…

High Energy Physics - Phenomenology · Physics 2023-12-04 A. V. Lipatov , M. A. Malyshev , A. V. Kotikov , X. Chen

We outline a general framework for evaluating the non-perturbative soft functions in the QCD instanton vacuum. In particular, from the soft function we derive the Collins-Soper (CS) kernel, which drives the rapidity evolution of the…

High Energy Physics - Phenomenology · Physics 2025-10-31 Wei-Yang Liu , Ismail Zahed , Yong Zhao

With a consistent definition of transverse-momentum-dependent(TMD) light-cone wave function of $B$-meson, we show that the amplitude of the radiative leptonic B-decay can be factorized at one-loop level as a convolution with the wave…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. P. Ma , Q. Wang

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

Transverse-momentum-dependent parton distribution functions (TMDs) can be studied from first principles by a perturbative matching onto lattice-calculable quantities: so-called lattice TMDs, which are a class of equal-time correlators that…

High Energy Physics - Phenomenology · Physics 2022-05-18 Markus A. Ebert , Stella T. Schindler , Iain W. Stewart , Yong Zhao

We study the transverse momentum dependent factorization for single spin asymmetries in Drell-Yan and semi-inclusive deep inelastic scattering processes at one-loop order. The next-to-leading order hard factors are calculated in the…

High Energy Physics - Phenomenology · Physics 2011-10-11 Zhong-Bo Kang , Bo-Wen Xiao , Feng Yuan

We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of non-standard…

High Energy Physics - Phenomenology · Physics 2020-06-12 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the…

High Energy Physics - Phenomenology · Physics 2009-11-11 P. Rembiesa , A. M. Stasto

We consider for the first time the QED corrections to the evolution of (un)polarized quark and gluon transverse-momentum-dependent distribution and fragmentation functions (TMDs in general). By extending their operator definition to…

High Energy Physics - Phenomenology · Physics 2018-11-21 Alessandro Bacchetta , Miguel G. Echevarria

We show that both the k_T- and collinear factorization for the DIS structure functions can be obtained by consecutive reductions of the Compton scattering amplitude. Each of these reductions is an approximation valid under certain…

High Energy Physics - Phenomenology · Physics 2011-11-03 B. I. Ermolaev , M. Greco , S. I. Troyan

The QCDNUM program numerically solves the evolution equations for parton densities and fragmentation functions in perturbative QCD. Un-polarised parton densities can be evolved up to next-to-next-to-leading order in powers of the strong…

High Energy Physics - Phenomenology · Physics 2010-11-23 M. Botje

Transverse momentum dependent (TMD) parton distribution functions (PDFs), TMDs for short, are defined as the Fourier transform of matrix elements of nonlocal combinations of quark and gluon fields. The nonlocality is bridged by gauge links,…

High Energy Physics - Phenomenology · Physics 2015-09-30 D. Boer , M. G. A. Buffing , P. J. Mulders

Proof of transverse-momentum-dependent(TMD) factorization for hadron-hadron collision is given in this paper. We focus on processes without detected soft final hadrons or detected final hadrons that are collinear to initial hadrons. This…

High Energy Physics - Phenomenology · Physics 2016-11-25 Gao-Liang Zhou

The impact of the inclusion of TMD shape functions on the transverse momentum spectrum in $J/\psi$ production at the EIC is investigated by considering the matching of the TMD factorization description at low transverse momentum with the…

High Energy Physics - Phenomenology · Physics 2025-05-15 Luca Maxia , Daniël Boer , Jelle Bor

We consider evolution of observables which depend on a small but fixed value of longitudinal momentum fraction $x$, to high rapidity, such that $\eta>\ln 1/x$. We show that this evolution is not given by the JIMWLK (or BK) equation. We…

High Energy Physics - Phenomenology · Physics 2024-07-24 Haowu Duan , Alex Kovner , Michael Lublinsky

We analyse the rho meson unpolarized and polarized transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM). The corresponding TMDs in ILM are approximated by a constituent quark beam…

High Energy Physics - Phenomenology · Physics 2025-10-31 Wei-Yang Liu , Ismail Zahed
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