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Related papers: Using the BFKL resummation to fit DIS data: collin…

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With the ongoing Run 3 of the LHC and its upcoming High-Luminosity upgrade, there is a growing need to study observables with high precision both experimentally and theoretically. To increase precision on the theory side, improvements of…

High Energy Physics - Phenomenology · Physics 2024-04-01 Federico Silvetti

We find the eigenvalue of the kernel of BFKL equation in the next-to-next-to-next-to-leading logarithm approximation (NNNLLA) in the planar N=4 SYM theory by using the quantum spectral curve to compute values at fixed spin, and…

High Energy Physics - Theory · Physics 2021-06-14 V. N. Velizhanin

$Q^2$ evolution of structure functions in the nucleon and nuclei is investigated by using usual DGLAP equations and parton-recombination equations. Calculated results for proton's $F_2$ and for the ratio $F_2^{Ca}/F_2^D$ are compared with…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Miyama

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

We study the effects of matching of the high-energy resummation based on the BFKL equation with initial state radiation effects, taken into account within the framework of high-energy factorization, in the production of Mueller-Navelet…

High Energy Physics - Phenomenology · Physics 2025-10-10 A. A. Chernyshev , M. A. Nefedov , V. A. Saleev

We calculate the quark-anti-quark contribution to the next-to-leading logarithmic corrections to the BFKL kernel, retaining the dependence on the momenta of the produced particles. This allows us to study the details of the NLL corrections.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jeppe R. Andersen

I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin

The double logarithmic terms $\alpha_{s} \ln^{2}x $ are important to predict precisely the small $x$ behavior of the spin structure function $g_{1}$. We numerically analyze the evolution of the flavor non-singlet $g_{1}$ including the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuichiro Kiyo , Jiro Kodaira , Hiroshi Tochimura

We use the Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial condition in the DGLAP evolution equations. We fix the scale of the coupling constant, which eliminates the singular part of anomalous…

High Energy Physics - Phenomenology · Physics 2014-02-19 A. V. Kotikov , B. G. Shaikhatdenov

We present description of the DIS structure functions F_1 and F_2 at small $x$ obtained in double-logarithmic approximation (DLA). First we clarify our previous results on F_1 and then obtain explicit expressions for F_2. Our calculations…

High Energy Physics - Phenomenology · Physics 2021-11-12 B. I. Ermolaev , S. I. Troyan

We present a global analysis of available data on inclusive structure functions measured in electron-proton scattering at small values of Bjorken-x, including the latest data from the combined HERA analysis on reduced cross sections. Our…

High Energy Physics - Phenomenology · Physics 2015-05-28 Paloma Quiroga-Arias , Javier L. Albacete , Nestor Armesto , Jose Guilherme Milhano , Carlos A. Salgado

In this paper we encode the perturbative BFKL leading logarithmic resummation, relevant for the Regge limit behavior of QCD scattering amplitudes, in the IR-regulated effective action which satisfies exact functional renormalization group…

High Energy Physics - Phenomenology · Physics 2019-01-30 J. Bartels , C. Contreras , G. P. Vacca

In the present note we propose a shift of the anomalous dimension function of the eigenfunctions of the BFKL equation with the NLO running coupling corrections. The calculated eigenvalue of the modified equation turns out to be conformal…

High Energy Physics - Phenomenology · Physics 2008-08-26 Sergey Bondarenko

Higher twist corrections to the structure function F_2 at small x are studied for the case of a flat initial condition for the twist-two QCD evolution in the next-to-leading order approximation. We present an analytical parameterization of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexei Yu. Illarionov , Anatoly V. Kotikov , Gonzalo Parente

The very precise combined HERA data provides a testing ground in which the relevance of novel QCD regimes, other than the successful linear DGLAP evolution, in small-x inclusive DIS data can be ascertained. We present a study of the…

High Energy Physics - Phenomenology · Physics 2015-06-04 J. L. Albacete , J. G. Milhano , P. Quiroga-Arias , J. Rojo

The ``non-Abelian'' part of the quark contribution to the BFKL kernel in the next-to-leading order (NLO) is found in the coordinate representation by direct transfer of the contribution from the momentum representation where it was…

High Energy Physics - Phenomenology · Physics 2008-11-26 Victor S. Fadin , Roberto Fiore , Alessandro Papa

We compute the proton structure function F_2^p at small x and large Q^2 at next-to-leading order in alpha_s(Q^2), including summations of all leading and subleading logarithms of Q^2 and 1/x in a way consistent with momentum conservation.…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. D. Ball , S. Forte

The QCD dipole picture allows to build an unified theoretical description -based on BFKL dynamics- of the total and diffractive nucleon structure functions. We use a four parameter fit to describe the 1994 H1 proton structure function F2…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Royon

We test the performance of a RG-improved kernel in the determination of the amplitude of a physical process, the electroproduction of two light vector mesons,in the BFKL approach at the next-to-leading approximation (NLA). We find that a…

High Energy Physics - Phenomenology · Physics 2008-12-19 Francesco Caporale , Alessandro Papa , Agustin Sabio Vera

A recently published soft Regge Dipole Pomeron model intended for all $x$ and $Q^2$ is proved to give a good agreement with (non fitted) recent HERA data from ZEUS (SVX95) on the protonstructure function $F_2^p(x,Q^2)$ at low $Q^2$ and low…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Desgrolard , A. Lengyel , E. Martynov