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We study the nuclear shadowing effect in the context of Glauber-Gribov multiple-scattering model and perturbative QCD. We find that at small x, the $Q^2$ evolution of the shadowing is much slower than the DGLAP evolution, due to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ina Sarcevic

High-energy factorization in QCD is investigated beyond leading order and its relationship to the factorization theorem of mass singularities is established to any collinear accuracy. Flavour non-singlet observables are shown to be regular…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Catani , F. Hautmann

The gluon distribution f(x, k_t^2,mu^2), unintegrated over the transverse momentum k_t of the gluon, satisfies the angular-ordered CCFM equation which interlocks the dependence on the scale k_t with the scale \mu of the probe. We show how,…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. A. Kimber , J. Kwiecinski , A. D. Martin , A. M. Stasto

The nuclear shadowing and antishadowing effects are explained by a unitarized BFKL equation. The $Q^2$- and $x$-variations of the nuclear parton distributions are detailed based on the level of the unintegrated gluon distribution. In…

High Energy Physics - Phenomenology · Physics 2015-05-13 Jianhong Ruan , Zhenqi Shen , Wei Zhu

We study the effects of quantum corrections on transverse momentum broadening of a fast parton passing through dense QCD matter. We show that, at leading logarithmic accuracy the broadening distribution tends at late times or equivalently…

High Energy Physics - Phenomenology · Physics 2022-10-05 Paul Caucal , Yacine Mehtar-Tani

We argue that the distribution functions for quarks and gluons are computable at small x for sufficiently large nuclei, perhaps larger than can be physically realized. For such nuclei, we argue that weak coupling methods may be used. We…

High Energy Physics - Phenomenology · Physics 2011-05-05 Larry McLerran , Raju Venugopalan

The basic concepts relevant for the theoretical description of deep inelastic scattering within the QCD improved parton model are introduced. Recent developments in low $x$ DIS and in deep inelastic diffraction are briefly summarised. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

We summarize our recent result for a splitting function for small x evolution which includes resummed small x logarithms deduced from the leading order BFKL equation with the inclusion of running coupling effects. We compare this improved…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guido Altarelli , Richard D. Ball , Stefano Forte

We discuss Transverse Momentum Dependent (TMD) gluon distributions within high energy factorization at next-to-leading order in the strong coupling within the framework of Lipatov's high energy effective action. We provide a detailed…

High Energy Physics - Phenomenology · Physics 2021-09-22 Martin Hentschinski

In this work we have solved the nonlinear GLR-MQ evolution equation upto next-to-leading order (NLO) by considering NLO terms of the gluon-gluon splitting functions and running coupling constant $\alpha_s(Q^2)$. Here, we have incorporated a…

High Energy Physics - Phenomenology · Physics 2018-01-22 M. Lalung , P. Phukan , J. K. Sarma

We present numerical solutions of the $Q^2$ evolution equations at next-to-leading order (NLO) for unpolarized and polarized parton distributions, in both the flavor non-singlet and singlet channels. The numerical method is based on a…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Weigl , W. Melnitchouk

The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian Balitsky , Giovanni A. Chirilli

We derive the Leading Order DGLAP evolution of gluon distribution function in the target light cone gauge starting from its standard operator definition. The derivation is performed using the background field formalism also employed in the…

High Energy Physics - Phenomenology · Physics 2025-05-28 Tolga Altinoluk , Guillaume Beuf , Jamal Jalilian-Marian

Parton branching solutions of QCD evolution equations have recently been studied to construct both collinear and transverse momentum dependent (TMD) parton distributions. In this formalism, a soft-gluon resolution scale is introduced to…

High Energy Physics - Phenomenology · Physics 2022-07-28 S. Sadeghi Barzani

We revisit the calculation of the next-to-leading order (NLO) corrections to dijet production in electron-ion collisions at small $x$. We focus on the back-to-back configuration where the relative transverse momentum $P_\perp$ of the…

High Energy Physics - Phenomenology · Physics 2025-10-10 Paul Caucal , Edmond Iancu , Farid Salazar , Feng Yuan

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

After a brief review of the BFKL approach to Regge processes in QCD and in supersymmetric (SUSY) gauge theories we propose a strategy for calculating the next-to-next-to-leading order corrections to the BFKL kernel. They can be obtained in…

High Energy Physics - Theory · Physics 2009-09-02 J. Bartels , L. N. Lipatov , A. Sabio Vera

We continue exploring the Born-Oppenheimer renormalization group generating evolution in frequency of physical observables. In this paper we study the evolution of the total cross section for dilute-dilute scattering retaining only eikonal…

High Energy Physics - Phenomenology · Physics 2024-12-25 Haowu Duan , Alex Kovner , Michael Lublinsky

A simple model for the gluon structure function at small $x$ is presented, which gives an intuitive picture of the transition between the DGLAP and B FKL regimes.

High Energy Physics - Phenomenology · Physics 2017-08-23 Gösta Gustafson

We discuss the small-x behaviour of the next-to-leading BFKL equation, depending on various smoothing out procedures of the running coupling constant at low momenta. While scaling violations (with resummed and calculable anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni