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The renormalization properties of unintegrated (transverse-momentum dependent) parton distribution functions (TMD PDF's) are used for analyzing their completely gauge-invariant definition. To this end, the UV anomalous dimension is…

高能物理 - 唯象学 · 物理学 2008-11-06 I. O. Cherednikov , N. G. Stefanis

The transverse momentum dependent distributions (TMD) are an essential part of the factorization theorems in vector boson production. They are non-perturbative, double scale dependent functions that asymptotically match onto collinear…

高能物理 - 唯象学 · 物理学 2022-05-13 Ignazio Scimemi

We show transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions by taking the decomposition of a quark correlation function in the Lorentz-invariant way with the conditions of…

高能物理 - 唯象学 · 物理学 2021-08-04 S. Kumano , Qin-Tao Song

We propose a new framework for transverse-momentum dependent parton distribution functions, based on a generalized conception of gauge invariance which includes into the Wilson lines the Pauli term $\sim F^{\mu\nu}[\gamma_\mu, \gamma_\nu]$.…

高能物理 - 唯象学 · 物理学 2014-11-20 I. O. Cherednikov , A. I. Karanikas , N. G. Stefanis

Quarkonia production in different high-energy processes has recently been proposed in order to probe gluon transverse-momentum-dependent parton distribution and fragmentation functions (TMDs in general). However, no proper factorization…

高能物理 - 唯象学 · 物理学 2020-01-08 Miguel G. Echevarria

Transverse momentum dependent distribution and fragmentation functions of unpolarized quarks inside unpolarized protons are extracted, for the first time, through a simultaneous analysis of semi-inclusive deep-inelastic scattering,…

高能物理 - 唯象学 · 物理学 2018-01-26 Cristian Pisano , Alessandro Bacchetta , Filippo Delcarro , Marco Radici , Andrea Signori

The current status of the theoretical understanding of the transverse-momentum dependent parton densities (TMDs) is discussed. Special attention is payed to the difference between the operator definitions of TMDs proposed so far, the…

高能物理 - 唯象学 · 物理学 2011-02-07 I. O. Cherednikov

The parton branching method is crucial for Monte Carlo generators, which are essential for high-energy physics predictions. We examine the impact of soft gluons on inclusive collinear and Transverse Momentum Dependent (TMD) parton…

高能物理 - 唯象学 · 物理学 2024-10-10 S. Taheri Monfared

In this study, the T-even sub-leading twist transverse momentum dependent distributions (TMDs) of proton in the light-front quark-diquark model (LFQDM) have been investigated. We have derived the overlap form of the light-front wave…

高能物理 - 唯象学 · 物理学 2023-08-01 Shubham Sharma , Narinder Kumar , Harleen Dahiya

In this letter we discuss the analyticity properties of the Wilson-loop correlation functions relevant to the problem of soft high-energy scattering, directly at the level of the functional integral, in a genuinely nonperturbative way. The…

高能物理 - 唯象学 · 物理学 2014-11-18 M. Giordano , E. Meggiolaro

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…

高能物理 - 唯象学 · 物理学 2025-10-06 Valentin Moos , Ignazio Scimemi , Alexey Vladimirov , Pia Zurita

Transverse parton momentum dependent distribution functions (TMDs) of the nucleon are studied in a covariant model, which describes the intrinsic motion of partons in terms of a covariant momentum distribution. The consistency of the…

高能物理 - 唯象学 · 物理学 2009-09-02 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We establish robust relations between Transverse Momentum Dependent distributions (TMDs) and collinear distributions. We define weighted integrals of TMDs that we call Transverse Momentum Moments (TMMs) and prove that TMMs are equal to…

高能物理 - 唯象学 · 物理学 2025-01-27 Oscar del Rio , Alexei Prokudin , Ignazio Scimemi , Alexey Vladimirov

We summarize some of our recent work on non-perturbative transverse momentum dependent (TMD) evolution, emphasizing aspects that are necessary for dealing with moderately low scale processes like semi-inclusive deep inelastic scattering.

高能物理 - 唯象学 · 物理学 2016-01-12 Ted C. Rogers , John Collins

Transverse momentum dependent parton distribution functions are a key ingredient in the description of spin and azimuthal asymmetries in deep-inelastic scattering processes. Recent results from non-perturbative calculations in effective…

高能物理 - 唯象学 · 物理学 2010-02-04 H. Avakian , A. V. Efremov , P. Schweitzer , O. V. Teryaev , F. Yuan , P. Zavada

In the TMD approach, the average transverse momentum of the unpolarised TMD PDFs and FFs is crucial not only to reproduce unpolarised cross sections and hadron multiplicities, but also for the understanding of azimuthal and spin…

高能物理 - 唯象学 · 物理学 2019-02-14 M. Anselmino , M. Boglione , U. D'Alesio , F. Murgia , A. Prokudin

We derive relations between polarized transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption…

高能物理 - 唯象学 · 物理学 2015-03-17 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We compute the contribution of twist-2 and twist-3 parton distribution functions to the small-$b$ expansion for transverse momentum dependent (TMD) distributions at all powers of $b$. The computation is done by the twist-decomposition…

高能物理 - 唯象学 · 物理学 2020-08-06 Valentin Moos , Alexey Vladimirov

We employ the Basis Light-Front Quantization (BLFQ) framework to compute the leading-twist (twist-2) and subleading-twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the kaon. The light-front wave…

高能物理 - 唯象学 · 物理学 2026-03-13 Yuanqi Lu , Zhimin Zhu , Jiangshan Lan , Chandan Mondal , Xingbo Zhao , James P. Vary

In this paper we present a new derivation of the QCD factorization. We deduce the k_T- and collinear factorizations for the DIS structure functions by consecutive reductions of a more general theoretical construction. We begin by studying…

高能物理 - 唯象学 · 物理学 2011-09-28 B. I. Ermolaev , M. Greco , S. I. Troyan