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Related papers: TMD factorization and evolution at large $b_T$

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We calculate the unpolarized transverse momentum dependent fragmentation function (TMDFF) at next-to-next-to-leading order (NNLO), evaluating separately TMD soft factor and TMD collinear correlator. For the first time the cancellation of…

High Energy Physics - Phenomenology · Physics 2016-10-26 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

We use Lorentz invariance and the QCD equations of motion to study the evolution of functions that appear at leading order in a 1/Q expansion in azimuthal asymmetries. This includes the evolution equation of the Collins fragmentation…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. A. Henneman , Daniel Boer , P. J. Mulders

Leading and subleading twist transverse momentum dependent parton distribution functions (TMDs) are studied in a quark model framework provided by the bag model. A complete set of relations among different TMDs is derived, and the question…

High Energy Physics - Phenomenology · Physics 2011-10-14 H. Avakian , A. V. Efremov , P. Schweitzer

We consider the problems of gauge invariance, path-dependence and treatment of overlapping UV/rapidity divergences peculiar to the transverse-momentum dependent parton distribution functions (TMDs). For different formulations of the TMDs…

High Energy Physics - Phenomenology · Physics 2012-06-27 I. O. Cherednikov

I show that the forms of the Collins-Soper-Sterman and renormalization-group equations for the evolution of transverse-momentum-dependent (TMD) parton densities in QCD follow from the structure of TMD factorization. A derivation does not…

High Energy Physics - Phenomenology · Physics 2019-11-28 John Collins

The transverse-momentum-dependent (TMD) factorization theorem for dijet production in deep-inelastic scattering is used here to make predictions of the gluon Sivers function. We revise the previously studied unpolarized case and develop the…

High Energy Physics - Phenomenology · Physics 2026-03-03 Miguel G. Echevarria , Patricia Andrea Gutierrez García , Ignazio Scimemi

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

Parton branching methods underlie the Monte Carlo (MC) generators, being therefore of key importance for obtaining high energy physics predictions. We construct a new parton branching algorithm which for the first time incorporates the…

High Energy Physics - Phenomenology · Physics 2023-01-02 Aleksandra Lelek

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

Often the factorization of differential cross sections results in the definition of fundamental hadronic functions/distributions which have a double-scale evolution, as provided by a pair of coupled equations. Typically, the two scales are…

High Energy Physics - Phenomenology · Physics 2018-08-29 Ignazio Scimemi , Alexey Vladimirov

In this review, we describe the status of transverse momentum dependence (TMD) in double parton scattering (DPS). The different regions of TMD DPS are discussed, and expressions given for the DPS cross section contributions that make use of…

High Energy Physics - Phenomenology · Physics 2019-02-18 Jonathan R. Gaunt , Tomas Kasemets

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,…

High Energy Physics - Phenomenology · Physics 2018-01-26 Cristian Pisano , Alessandro Bacchetta , Filippo Delcarro , Marco Radici , Andrea Signori

We study the energy or TMD evolution of the three leading twist dipole type T-odd gluon TMDs inside a transversely polarized nucleon, all of which at small $x$ dynamically originate from the spin dependent odderon. Their energy dependence…

High Energy Physics - Phenomenology · Physics 2022-06-01 Daniël Boer , Yoshikazu Hagiwara , Jian Zhou , Ya-jin Zhou

We consider the definition of unpolarized transverse-momentum-dependent parton distribution functions while staying on-the-light-cone. By imposing a requirement of identical treatment of two collinear sectors, our approach, compatible with…

High Energy Physics - Phenomenology · Physics 2015-06-11 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

Extracting information on the three-dimensional structure of hadrons from transverse-momentum data is a challenging task, requiring the separation of perturbative contributions under QCD control from genuinely non-perturbative effects,…

High Energy Physics - Phenomenology · Physics 2025-09-09 Andrea Simonelli

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

Transverse momentum dependent parton distribution functions, also abbreviated as TMDs, offer a three-dimensional picture of hadrons by taking the intrinsic transverse momentum of the parton into consideration. Hence, they are very important…

High Energy Physics - Phenomenology · Physics 2021-12-03 Xiao Liu , Wenjuan Mao , Xiaoyu Wang , Bo-Qiang Ma

We apply the joint threshold and transverse momentum dependent (TMD) factorization theorem to introduce new threshold-TMD distribution functions, including threshold-TMD parton distribution functions (PDFs) and fragmentation functions…

High Energy Physics - Phenomenology · Physics 2024-06-06 Zhong-Bo Kang , Kajal Samanta , Ding Yu Shao , Yang-Li Zeng

We study Euclidean formulations of the transverse-momentum-dependent (TMD) soft function, which is a cross section for soft gluon radiations involving color charges moving in two conjugate lightcone directions in quantum chromodynamics. We…

High Energy Physics - Phenomenology · Physics 2020-06-24 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu

We develop a theoretical framework to match transverse momentum dependent parton distribution functions (TMD PDFs) onto chiral effective theory operators. In this framework the TMD PDF is expressed as a convolution of TMD hadronic…

High Energy Physics - Phenomenology · Physics 2024-05-27 Marston Copeland , Thomas Mehen
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