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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

The factorization of the amplitude of the process gamma* gamma -> gamma gamma in the low energy and high photon virtuality region is demonstrated at the Born order and in the leading logarithmic approximation. The leading order two photon…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. El Beiyad , B. Pire , L. Szymanowski , S. Wallon

Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding…

High Energy Physics - Phenomenology · Physics 2020-05-06 Alexey A. Vladimirov , Andreas Schäfer

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering experimental results. It enables us to improve the description…

High Energy Physics - Phenomenology · Physics 2015-10-22 Jacques Soffer , Claude Bourrely

Within the basis light-front quantization framework, we systematically investigate the unpolarized and longitudinally polarized double parton distributions (DPDs) of quarks inside the proton. We utilize the light-front wave functions of the…

High Energy Physics - Phenomenology · Physics 2025-07-11 Tian-Cai Peng , Zhi Hu , Sreeraj Nair , Siqi Xu , Xiang Liu , Chandan Mondal , Xingbo Zhao , James P. Vary

Valence double parton distribution functions of the nucleon are evaluated in the framework of a simple model, where the conservation of the longitudinal momentum is taken into account. The leading-order DGLAP QCD evolution from the low…

High Energy Physics - Phenomenology · Physics 2015-06-17 Wojciech Broniowski , Enrique Ruiz Arriola

Double parton distribution functions (dPDFs), measurable in hadron-hadron collisions and encoding information on how partons inside a proton are correlated among each other, could represent a new tool to explore the three dimensional…

High Energy Physics - Phenomenology · Physics 2017-04-03 Matteo Rinaldi , Sergio Scopetta , Vicente Vento , Marco Traini , Federico Alberto Ceccopieri

We consider the impact that can be made on our understanding of parton distributions (PDFs) and QCD from early measurements at the LHCb experiment. The high rapidity values make the experiment uniquely suited to a detailed study of small-x…

High Energy Physics - Phenomenology · Physics 2008-08-14 R. S. Thorne , A. D. Martin , W. J. Stirling , G. Watt

Perturbative NLO and NNLO QCD evolutions of parton distributions are studied, in particular in the (very) small-$x$ region, where they are in very good agreement with all recent precision measurements of $F_2^p(x,Q^2)$. These predictions…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Glück , C. Pisano , E. Reya

Three-body decay functions in space-like parton branches are implemented to evaluate transverse-momentum-dependent (TMD) parton distribution functions in the next-to-leading logarithmic (NLL) order of quantum chromodynamics (QCD).…

High Energy Physics - Phenomenology · Physics 2015-04-08 Hidekazu Tanaka

We present a dynamical study of the double parton distribution in impact parameter space, which enters into the double scattering cross section in hadronic collisions. This distribution is analogous to the generalized parton densities in…

High Energy Physics - Phenomenology · Physics 2011-06-28 Christoffer Flensburg , Gösta Gustafson , Leif Lönnblad , Andras Ster

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive meson electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Radyushkin

We shown the general approach for Q2 evolution of parton densities and fragmentation functions at low x based on the diagonalization. The diagonalization leads to the two components in the Q2 evolution, each of which contains a…

High Energy Physics - Phenomenology · Physics 2015-02-26 Anatoly Kotikov

A completely new strategy to calculate parton distribution functions on the lattice has recently been proposed. In this method, lattice calculable observables, called quasi distributions, are related to normal distributions. The quasi…

High Energy Physics - Lattice · Physics 2016-09-08 Tomomi Ishikawa , Yan-Qing Ma , Jian-Wei Qiu , Shinsuke Yoshida

We introduce a general expression which enables the parton distribution, unintegrated over the parton transverse momentum, to be obtained from the conventional parton densities. We use the formalism to study the effects of the transverse…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. A. Kimber , A. D. Martin , M. G. Ryskin

Perturbative solutions for unpolarized QED parton distribution and fragmentation functions are presented explicitly in the next-to-leading logarithmic approximation. The scheme of iterative solution of QED evolution equations is described…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. B. Arbuzov , U. E. Voznaya

We show that the momentum sum rule is a necessary condition for factorization of double parton distributions into a product of two single parton distributions for small values of the parton momentum fractions x and large enough values of…

High Energy Physics - Phenomenology · Physics 2023-03-29 Krzysztof Golec-Biernat , Anna M. Staśto

Perturbative NLO and NNLO QCD evolutions of parton distributions are studied, in particular in the (very) small-x region, where they are in very good agreement with all recent precision measurements of F_2^p(x,Q^2). These predictions turn…

High Energy Physics - Phenomenology · Physics 2007-06-14 Cristian Pisano

In a large-momentum nucleon state, the matrix element of a gauge-invariant Euclidean Wilson line operator accessible from lattice QCD can be related to the standard light-cone parton distribution function through the large-momentum…

High Energy Physics - Phenomenology · Physics 2018-09-19 Taku Izubuchi , Xiangdong Ji , Luchang Jin , Iain W. Stewart , Yong Zhao

We investigate the positivity of double parton distributions with a non-trivial dependence on the parton colour. It turns out that positivity is not preserved by leading-order evolution from lower to higher scales, in contrast to the case…

High Energy Physics - Phenomenology · Physics 2021-12-08 Markus Diehl , Jonathan R. Gaunt , Peter Plossl , Paolo Pichini