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We introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the sea quark distribution which incorporate both the resummed leading $\ln (1/x)$ BFKL contributions and the resummed leading $\ln (Q^2)$ DGLAP…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Kwiecinski , A. D. Martin , A. Stasto

A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

We study the scaling properties in deep inelastic scattering using the most recent combined structure function data $F_2$ from the H1 and ZEUS collaborations. We also perform a direct fit to the $F_2$ data inspired by the scaling…

High Energy Physics - Phenomenology · Physics 2010-11-19 Christophe Royon , Robert Peschanski

Deep inelastic scattering data on $F_2$ structure function obtained by BCDMS, SLAC and NMC collaborations in fixed-target experiments were analyzed in the non-singlet approximation with next-to-next-to-leading-order accuracy. The strong…

High Energy Physics - Phenomenology · Physics 2015-09-02 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

We give a brief review of our recent QCD analysis carried out over the deep inelastic scattering data on F2 structure function and in the non-singlet approximation to the accuracy up to next-to-next-to-leading-order. Specifically, analysis…

High Energy Physics - Phenomenology · Physics 2010-08-05 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov , G. Parente

We study the solution of the nonlinear BK evolution equation with the recently calculated running coupling corrections [hep-ph/0609105, hep-ph/0609090]. Performing a numerical solution we confirm the earlier result of [hep-ph/0408216] that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Javier L. Albacete , Yuri V. Kovchegov

The running BFKL equation gives rise to a series of moving poles in the complex $j$-plane. The first nodes for all subleading solutions (color dipole cross sections) accumulate at $r_1\sim 0.1 fm$.Therefore the processes dominated by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. R. Zoller

We present a BFKL phenomenology of structure functions in the framework of the generalized BFKL equation for the dipole cross section proposed by us recently. We show that the HERA measurements of excitation of charm at $Q^{2} \lsim $10…

High Energy Physics - Phenomenology · Physics 2016-08-14 N. N. Nikolaev , B. G. Zakharov

An introduction and summary is given of the main results achieved by working group 1: Structure Functions in Deep Inelastic Scattering at HERA. The prospects were discussed of future measurements of the structure functions $F_{2}, F_{L},…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , T. Doyle , F. Hautmann , M. Klein , A. Vogt

A feasible mechanism of unitarization of amplitudes of deep inelastic scattering at small values of Bjorken $x$ is the gluon fusion. However, its efficiency depends crucially on the vacuum color screening effect which accompanies the…

High Energy Physics - Phenomenology · Physics 2015-06-04 R. Fiore , P. V. Sasorov , V. R. Zoller

We study the dependence of beta-function on running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for light and heavy quarks. Although, in the previous paper [arXiv:2402.14512], we considered different…

High Energy Physics - Theory · Physics 2024-07-22 Irina Ya. Aref'eva , Ali Hajilou , Pavel Slepov , Marina Usova

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

In this paper we proceed with the study of the Pomeron spectrum, by solving numerically the BFKL equation with massive gluons and running coupling. The spectrum of Regge singularities is discrete and the leading Pomeron has a considerable…

High Energy Physics - Phenomenology · Physics 2016-11-15 Eugene Levin , Lev Lipatov , Marat Siddikov

The running of the QCD coupling is incorporated into the infrared evolution equations for the flavour structure function g_1. The explicit expressions for g_1 including the total resummation of the double-logarithmic contributions and…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. I. Ermolaev , M. Greco , S. I. Troyan

Electroproduction in deep inelastic scattering at HERA is studied in a model considering a finite sum of gluon ladders, associated with a truncation of the BFKL series. The approach contains the bare two gluon exchange and both one and two…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Gay Ducati , K. Kontros , A. Lengyel , M. V. T. Machado

We derive a modified form of the BFKL equation which enables the structure of the gluon emissions to be studied in small $x$ deep inelastic scattering. The equation incorporates the resummation of the virtual and unresolved real gluon…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Kwiecinski , C. A. M. Lewis , A. D. Martin

We suggest a formula interpolating between the known asymptotic regimes of the BFKL equation as the approximate solution of that equation. The parameters appearing in this interpolation are fitted to the data on deep inelastic scattering in…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Desgrolard , L. Jenkovszky , F. Paccanoni

We computed the deep inelastic scattering (DIS) structure functions $F_2 (x,Q^2)$ and $F_L (x,Q^2)$ in the framework of Gribov-Levin-Ryskin-Mueller-Qiu, Zhu-Ruan-Shen (GLR-MQ-ZRS) equation. Both $x$ and $Q^2$ evolutions of the structure…

High Energy Physics - Phenomenology · Physics 2019-10-01 Madhurjya Lalung , Pragyan Phukan , Jayanta Kumar Sarma

We reanalyze deep inelastic scattering data of BCDMS Collaboration by including proper cuts of ranges with large systematic errors. We perform also the fits of high statistic deep inelastic scattering data of BCDMS, SLAC, NM and BFP…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. G. Krivokhijine , A. V. Kotikov

Recently, there has been significant progress in computing scattering amplitudes in the high-energy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of…

High Energy Physics - Phenomenology · Physics 2019-12-24 Einan Gardi , Simon Caron-Huot , Joscha Reichel , Leonardo Vernazza