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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

The one-loop correction to heavy quark pair back-to-back production in unpolarized semi-inclusive deep inelastic scattering is given in this work in the framework of transverse momentum dependent(TMD) factorization. Both unpolarized and…

High Energy Physics - Phenomenology · Physics 2017-12-06 Guang-Peng Zhang

In using transverse-momentum-dependent (TMD) parton densities and fragmentation functions, important non-perturbative information is at large transverse position $b_T$. This concerns both the TMD functions and their evolution. Fits to high…

High Energy Physics - Phenomenology · Physics 2015-07-21 John Collins , Ted C. Rogers

We evaluate in the next-to-leading approximation the forward impact factor for the virtual photon to light vector meson transition in the case of longitudinal polarization. We find that in the hard kinematic domain, both in the leading and…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Yu. Ivanov , M. I. Kotsky , A. Papa

Different approaches to define transverse-momentum dependent parton distribution functions are considered from the point of view of their renormalization-group properties. The associated one-loop anomalous dimensions of these quantities are…

High Energy Physics - Phenomenology · Physics 2009-11-06 I. O. Cherednikov , N. G. Stefanis

We derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) correlator, including kinematic power corrections to all orders. The resulting expression involves only twist-two TMD distributions and is frame…

High Energy Physics - Phenomenology · Physics 2026-03-23 Alejandro Bris Cuerpo , Arturo Arroyo-Castro , Alexey Vladimirov

This paper is a part of a series of works where we in detail examine the concept of Transverse Momentum Dependent (TMD), or k_T, factorization, which is frequently encountered in the literature and is widely used in the phenomenological…

High Energy Physics - Phenomenology · Physics 2012-04-03 Emil Avsar

We give an overview of the current status of perturbative QCD factorization theorems in processes that involve transverse momentum dependent (TMD) parton distribution functions (PDFs) and fragmentation functions (FF). We enumerate those…

High Energy Physics - Phenomenology · Physics 2011-07-21 S. M. Aybat , T. C. Rogers

Different exclusive processes have been proposed to access the generalized transverse momentum dependent distributions (GTMDs) with no proof of factorization, which allows to rigorously define the GTMDs. Using Soft Collinear Effective…

High Energy Physics - Phenomenology · Physics 2023-04-11 Miguel G. Echevarria , Patricia A. Gutierrez Garcia , Ignazio Scimemi

Singular factors originating from the QCD factorisation of scattering amplitudes in soft and collinear limits play a prominent role in both organising and computing high-order perturbative contributions to hard-scattering cross sections. In…

High Energy Physics - Phenomenology · Physics 2022-08-16 Prasanna K. Dhani

In this proceeding we consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. At small transverse momentum the logarithmically-enhanced contributions can be organized to all perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-21 Leandro Cieri

The leading twist transverse momentum dependent parton distributions (TMDs) are studied in a light-cone description of the nucleon where the Fock expansion is truncated to consider only valence quarks. General analytic expressions are…

High Energy Physics - Phenomenology · Physics 2010-05-28 B. Pasquini , S. Cazzaniga , S. Boffi

Typically, a production of a particle with a small transverse momentum in hadron-hadron collisions is described by CSS-based TMD factorization at moderate Bjorken $x_B\sim 1$ and by $k_T$-factorization at small $x_B$. A uniform description…

High Energy Physics - Phenomenology · Physics 2023-03-22 Ian Balitsky

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

In this paper we study transverse polarization of $\Lambda$ hyperons in single-inclusive leptonic annihilation. We show that when the transverse momentum of the $\Lambda$ baryon is measured with respect to the thrust axis, a transverse…

High Energy Physics - Phenomenology · Physics 2022-12-06 Leonard Gamberg , Zhong-Bo Kang , Ding Yu Shao , John Terry , Fanyi Zhao

We study the transverse-momentum spectrum of quarkonium production from single light-parton fragmentation mechanism. In the case of semi-inclusive deep inelastic scattering, we observe that there are two possible initiating processes,…

High Energy Physics - Phenomenology · Physics 2020-10-29 Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

QCD factorization approach in the field-theoretic description of the semi-inclusive hadronic processes in the large Bjorken $x$ approximation implies extraction of the three-dimensional parton distribution functions as a convolution of a…

High Energy Physics - Phenomenology · Physics 2014-03-24 I. O. Cherednikov

The interplay between the small x limit of QCD amplitudes and QCD factorization at moderate x has been studied extensively in recent years. It was finally shown that semiclassical formulations of small x physics can have the form of an…

High Energy Physics - Phenomenology · Physics 2021-05-19 Renaud Boussarie , Yacine Mehtar-Tani

Hadron production at low transverse momenta in semi-inclusive deep inelastic scattering can be described by transverse momentum dependent (TMD) factorization. This formalism has also been widely used to study the Drell-Yan process and…

High Energy Physics - Phenomenology · Physics 2021-01-01 Zhong-Bo Kang , Alexei Prokudin , Nobuo Sato , John Terry

We investigate the transverse polarization of the $\Lambda$ hyperon in the processes $e^+e^-\to\Lambda^\uparrow \pi^\pm X$ and $e^+e^-\to\Lambda^\uparrow K^\pm X$ within the framework of the transverse momentum dependent~(TMD)…

High Energy Physics - Phenomenology · Physics 2021-04-26 Hui Li , Xiaoyu Wang , Yongliang Yang , Zhun Lu