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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…

High Energy Physics - Phenomenology · Physics 2025-01-27 Oscar del Rio , Alexei Prokudin , Ignazio Scimemi , Alexey Vladimirov

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…

High Energy Physics - Phenomenology · Physics 2020-08-06 Valentin Moos , Alexey Vladimirov

We derive a nonperturbative transverse momentum distribution for partons using a potential model to describe the quark-quark interaction inside the proton. We use this distribution to calculate the diferential cross-section of…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. K. Diakonos , G. D. Galanopoulos , X. N. Maintas

We show that the gauge-invariant transverse-momentum-dependent (TMD) quark distribution function can be expressed as a sum of all higher-twist collinear parton matrix elements in terms of a transport operator. From such a general…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zuo-tang Liang , Xin-Nian Wang , Jian Zhou

Transverse momentum dependent parton distributions (TMDs) appear in many scattering processes at high energy, from the semi-inclusive DIS experiments at a few GeV to the Higgs transverse momentum distribution at the LHC. Predictions for TMD…

High Energy Physics - Phenomenology · Physics 2016-03-23 Daniel Boer

The renormalization-group properties of gauge-invariant transverse-momentum dependent (TMD) parton distribution functions (PDF) in QCD are addressed. We perform an analysis of their leading-order anomalous dimensions, which are local…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. O. Cherednikov , N. G. Stefanis

The Transverse Momentum Dependent (TMD) Parton Branching (PB) method incorporates elements of TMD physics into a Monte Carlo (MC) framework to produce high-energy QCD predictions for collider processes. It derives TMDs from the PB evolution…

High Energy Physics - Phenomenology · Physics 2025-11-25 Aleksandra Lelek

We present a first lattice QCD calculation of the transverse-momentum-dependent wave functions (TMDWFs) of the pion using large-momentum effective theory. Numerical simulations are based on one ensemble with 2+1+1 flavors of highly improved…

We investigate the impact of three-body forces on the transverse-momentum distribution of partons inside the proton. This is achieved by considering the three-body problem in a class of hyper-central quark potential models. Solving the…

High Energy Physics - Phenomenology · Physics 2010-06-17 F. K. Diakonos , N. K. Kaplis , X. N. Maintas

We investigate the single transverse-spin asymmetry with a $\sin (2\phi-\phi_S)$ modulation in the pion-induced Drell-Yan process within the theoretical framework of the transverse momentum dependent factorization. The asymmetry is…

High Energy Physics - Phenomenology · Physics 2020-03-18 Hui Li , Xiaoyu Wang , Zhun Lu

Recent data from semi-inclusive deep inelastic scattering collected by the HERMES collaboration allow for the first time to discuss how the transverse-momentum dependence of unpolarized distribution and fragmentation functions is affected…

High Energy Physics - Phenomenology · Physics 2015-06-17 Andrea Signori , Alessandro Bacchetta , Marco Radici

In the original Collins-Soper-Sterman (CSS) presentation of the results of transverse-momentum-dependent (TMD) factorization for the Drell-Yan process, results for perturbative coefficients can be obtained from calculations for collinear…

High Energy Physics - Phenomenology · Physics 2017-09-20 John Collins , Ted C. Rogers

We calculate the leading twist valence quark transverse momentum parton distribution functions (TMDs) and generalized parton distributions (GPDs) of the charged kaons in an isospin symmetric nuclear matter at zero temperature by employing…

High Energy Physics - Phenomenology · Physics 2025-05-05 Reetanshu Pandey , Satyajit Puhan , Navpreet Kaur , Arvind Kumar , Suneel Dutt , Harleen Dahiya

In this work, we try to understand the transverse structure of photon through transverse momentum dependent parton distribution functions (TMDs) in quantum chromodynamics. We calculate all the possible time reversal photon TMDs using…

High Energy Physics - Phenomenology · Physics 2025-04-03 Satyajit Puhan , Narinder Kumar , Harleen Dahiya

We present an overview on the current experimental and phenomenological status of transverse single spin asymmetries (tSSAs) in proton-proton collisions. In particular, we focus on large-$p_T$ inclusive pion, photon, jet, pion-jet…

High Energy Physics - Phenomenology · Physics 2016-07-20 E. C. Aschenauer , U. D'Alesio , F. Murgia

We study the small-$x$ asymptotics of the flavor non-singlet T-odd leading-twist quark transverse momentum dependent parton distributions (TMDs), the Sivers and Boer-Mulders functions. While the leading eikonal small-$x$ asymptotics of the…

High Energy Physics - Phenomenology · Physics 2022-11-30 Yuri V. Kovchegov , M. Gabriel Santiago

With a consistent definition of transverse-momentum dependent (TMD) light-cone wave function, we show that the amplitude for the process $\gamma^* \pi^0 \to\gamma$ can be factorized when the virtuality of the initial photon is large. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. P. Ma , Q. Wang

The singular behaviour of QCD squared amplitudes in the collinear limit is factorized and controlled by splitting kernels with a process-independent structure. We use these kernels to define collinear functions that can be used in QCD…

High Energy Physics - Phenomenology · Physics 2023-04-11 Stefano Catani , Prasanna K. Dhani

In order to describe the hadronization of polarized quarks, we discuss an extension of the quark-jet model to transverse momentum dependent fragmentation functions. The description is based on a product ansatz, where each factor in the…

Nuclear Theory · Physics 2016-08-10 W. Bentz , A. Kotzinian , H. H. Matevosyan , Y. Ninomiya , A. W. Thomas , K. Yazaki

The fractured Boer-Mulders functions describe an inriguing class of polarization effects for the production of baryons in the target fragmentation region of deep-inelastic processes. These functions characterize transverse momentum…

High Energy Physics - Phenomenology · Physics 2010-04-06 Dennis Sivers