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We evaluate the unintegrated gluon distribution of the proton starting from a parametrization of the color dipole cross section including DGLAP evolution and saturation effects. To this end, we perform the Fourier-Bessel transform of…

High Energy Physics - Phenomenology · Physics 2022-12-14 Agnieszka Łuszczak , Marta Łuszczak , Wolfgang Schäfer

We report a complete computation of next-to-next-to-leading order (NNLO) helicity and transversity Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) splitting functions, in both space-like and time-like kinematics. These results are…

High Energy Physics - Phenomenology · Physics 2026-03-31 Yu Jiao Zhu

We present a novel approach to compute Generalized Parton Distributions within the Lightfront Wave Function overlap framework. We show how to systematically extend Generalized Parton Distributions computed within the DGLAP region to the…

High Energy Physics - Phenomenology · Physics 2017-12-29 N. Chouika , C. Mezrag , H. Moutarde , J. Rodríguez-Quintero

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 briefly recall the main physical features of the parton distributions in the quantum statistical picture of the nucleon. Some predictions from a next-to-leading order QCD analysis are successfully compared to recent unpolarized and…

High Energy Physics - Phenomenology · Physics 2011-12-02 Jacques Soffer

We present the first direct calculation of the transversity parton distribution function within the nucleon from lattice QCD. The calculation is performed using simulations with the light quark mass fixed to its physical value and at one…

High Energy Physics - Lattice · Physics 2018-12-06 Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Karl Jansen , Aurora Scapellato , Fernanda Steffens

We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon, which allows to describe simultaneously, unpolarized and polarized Deep Inelastic Scattering data. Some predictions from a…

High Energy Physics - Phenomenology · Physics 2015-05-27 Jacques Soffer

We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton densities in perturbative QCD. The exact expressions are presented in both…

High Energy Physics - Phenomenology · Physics 2010-04-05 A. Vogt , S. Moch , J. A. M. Vermaseren

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 derive evolution equations for the truncated Mellin moments of the parton distributions. We find that the equations have the same form as those for the partons themselves. The modified splitting function for n-th moment $P'(n,x)$ is…

High Energy Physics - Phenomenology · Physics 2010-03-25 D. Kotlorz , A. Kotlorz

Polarized parton distribution functions are determined by using world data from the longitudinally polarized deep inelastic scattering experiments. A new parametrization of the parton distribution functions is adopted by taking into account…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. Goto , N. Hayashi , M. Hirai , H. Horikawa , S. Kumano , M. Miyama , T. Morii , N. Saito , T. -A. Shibata , E. Taniguchi , T. Yamanishi

We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

The Parton Branching (PB) approach describes the evolution of transverse momentum dependent (TMD) parton densities. We propose to extend the PB method by including TMD splitting functions, instead of the DGLAP splitting functions which…

High Energy Physics - Phenomenology · Physics 2022-03-29 Lissa Keersmaekers

A short review of problems with parton distribution functions in nucleons, non-polarized and polarized, is given. The main part is devoted to the transversity distribution its possible measurement and its first experimental probe via spin…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Efremov

We determine at NNLO (3-loop) of QCD the dynamical parton distributions of the nucleon generated radiatively from valencelike positive input distributions at an optimally chosen low resolution scale (Q_0^2<1 GeV^2) by employing the "fixed…

High Energy Physics - Phenomenology · Physics 2011-06-07 P. Jimenez-Delgado , E. Reya

We present a strategy for the systematic extraction of a vast amount of detailed information on polarized parton densities and fragmentation functions from semi-inclusive deep inelastic scattering l+N -> l+h+X, in both LO and NLO QCD. A…

High Energy Physics - Phenomenology · Physics 2016-09-06 Ekaterina Christova , Elliot Leader

We consider the one-loop factorization of the simplest twist-three process: inclusive deep-inelastic scattering of longitudinally-polarized leptons on a transversely-polarized nucleon target. By studying the Compton amplitudes for certain…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Wei Lu , Jonathan Osborne , Xiaotong Song

We discuss the scale dependence of a skewed parton distribution of the pion obtained from a generalized light-cone wave function overlap formula. Using a simple ansatz for the transverse momentum dependence of the light-cone wave function…

High Energy Physics - Phenomenology · Physics 2014-11-17 Carsten Vogt

Off-shell, transverse-momentum dependent splitting functions can be defined from the high-energy limit of partonic decay amplitudes. Based on these splitting functions, we construct Sudakov form factors and formulate a new parton branching…

High Energy Physics - Phenomenology · Physics 2022-07-27 F. Hautmann , M. Hentschinski , L. Keersmaekers , A. Kusina , K. Kutak , A. Lelek

We review evolution equations for the truncated Mellin moments of the parton distributions and some their applications in QCD analysis. The main finding of the presented approach is that the $n$th truncated moment of the parton distribution…

High Energy Physics - Phenomenology · Physics 2015-06-19 Dorota Kotlorz , Andrzej Kotlorz