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We present a small x resummation for the GLAP anomalous dimension and its corresponding dual BFKL kernel, which includes all the available perturbative information and nonperturbative constraints. Specifically, it includes all the…

High Energy Physics - Phenomenology · Physics 2010-03-25 Guido Altarelli , Richard D. Ball , Stefano Forte

Exclusive emissions of vector mesons in forward directions of rapidity offer us a faultless chance to probe the proton structure at small-$x$. A high-energy factorization formula is established within BFKL, given as the convolution of an…

High Energy Physics - Phenomenology · Physics 2022-08-03 Andrèe Dafne Bolognino , Francesco Giovanni Celiberto , Dmitry Yu. Ivanov , Alessandro Papa

We solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract…

High Energy Physics - Phenomenology · Physics 2014-11-21 Emil Avsar , Anna M. Stasto

The proton spin puzzle is a longstanding problem in high-energy nuclear physics: how the proton spin distributes among the spin and orbital angular momenta of the quarks and gluons inside. Two of the unresolved pieces of the puzzle are the…

High Energy Physics - Phenomenology · Physics 2023-06-29 Yossathorn Tawabutr

A study of saturation effects in two-hard-scale hadronic processes such as Mueller-Navelet jets is presented. The cross-sections are expressed in the dipole framework while saturation is implemented via an extention of the Golec-Biernat and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cyrille Marquet

Mueller's dipole formulation of onium-onium scattering is used to study unitarity corrections to the BFKL power growth at high energies. After a short discussion of the spatial distribution of colour dipoles in a heavy quarkonium and the…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. P. Salam

We show how the formulations of low $x$ physics involving Wilson line operators can be fully rewritten into an infinite twist TMD or GTMD framework, respectively for inclusive and exclusive observables. This leads to a perfect match between…

High Energy Physics - Phenomenology · Physics 2020-01-08 Tolga Altinoluk , Renaud Boussarie

We consider the damped nonlinear Schr\''{o}dinger equation with saturation: i.e., the complex evolution equation contains in its left hand side, besides the potential term $V(x)u,$ a nonlinear term of the form $\mathrm{i}\mu…

Analysis of PDEs · Mathematics 2026-01-06 Pascal Bégout , Jesús Ildefonso Díaz

The gluon radius of the proton is expected to increase at small gluon momentum fractions $x$, an effect which has hitherto not been considered in the dipole model framework. We investigate the energy dependence of exclusive $J/\psi$,…

High Energy Physics - Phenomenology · Physics 2022-06-20 Arjun Kumar , Tobias Toll

In this talk we present our detail study ( theory and numbers) [1] on the shadowing corrections to the gluon structure functions for nuclei. Starting from rather contraversial information on the nucleon structure function which is…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Ayala , M. B. Gay Ducati , E. M. Levin

We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kutak , A. M. Stasto

We present first calculations of the fluctuating gluon distribution in a proton as a function of impact parameter and rapidity employing the functional Langevin form of the JIMWLK renormalization group equation. We demonstrate that when…

High Energy Physics - Phenomenology · Physics 2015-06-22 Soeren Schlichting , Bjoern Schenke

A modification of the saturation model of deep inelastic scattering at small x which includes the Altarelli-Parisi (DGLAP) evolution is presented. Significant improvement of the description of the structure function F_2 at large Q^2 is…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartels , K. Golec-Biernat , H. Kowalski

The inclusion of running coupling effects in the BK-JIMWLK evolution equations considerably reduces the energy dependence of the saturation scale with respect to previous estimates based on fits to HERA data. We discuss how such slowdown…

High Energy Physics - Phenomenology · Physics 2008-11-26 Javier L. Albacete

We present a detailed description of the Q^2 and x dependence of the structure functions F2 and FL as extracted from the Deep Inelastic Scattering data at HERA in the small Bjorken x region. Making use of a collinearly-improved BFKL…

High Energy Physics - Phenomenology · Physics 2013-04-10 Martin Hentschinski , Agustin Sabio Vera , Clara Salas

Geometric scaling is a novel scaling phenomenon observed in deep inelastic scattering at small x: the total virtual photon-proton cross section depends upon the two kinematical variables Q^2 and x only via their combination Q^2 R_0^2(x),…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Iancu , K. Itakura , L. McLerran

The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the…

High Energy Physics - Phenomenology · Physics 2016-08-08 Wei Zhu , Zhenqi Shen , Jianhong Ruan

We illustrate geometric scaling for the photon-proton cross section with a very simple saturation model. We describe the proton structure function F2 at small x in a wide kinematical range with an elementary functional form and a small…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Munier

Within the framework of a (1+1)-dimensional model which mimics evolution and scattering in QCD at high energy, we study the influence of the running of the coupling on the high-energy dynamics with Pomeron loops. We find that the particle…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Dumitru , E. Iancu , L. Portugal , G. Soyez , D. N. Triantafyllopoulos

In this talk, we present the CGC/saturation approach of Ref.[C.~Contreras, E.~Levin, R.~Meneses and M.~Sanhueza,Eur. Phys. J. C 80 (2020) no.11, 1029] and its parameters determined from the combined HERA data. This model features an…

High Energy Physics - Phenomenology · Physics 2024-12-23 José Garrido , Michael Roa , Miguel Guevara