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Related papers: Resummation of double collinear logs in BK evoluti…

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We propose a systematic approximation scheme for solving GLAP evolution equations at small Bjorken-$x$. The approximate solutions interpolate smoothly between hard (singular as $x^{-(1+\lambda)}$, $\lambda> 0$) and soft (singular at most as…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Mankiewicz , A. Saalfeld , T. Weigl

Using the analytical expression for transverse momentum dependent (TMD) gluon density in a proton, a self-consistent simultaneous description of low $Q^2$ data on proton structure function $F_2(x,Q^2)$, reduced cross section for the…

High Energy Physics - Phenomenology · Physics 2023-10-06 A. V. Lipatov , G. I. Lykasov , M. A. Malyshev

A measurement of the inclusive ep scattering cross section is presented in the region of low momentum transfers, 0.2 GeV^2 < Q^2 < 12 GeV^2, and low Bjorken x, 5x10^-6 < x < 0.02. The result is based on two data sets collected in dedicated…

High Energy Physics - Experiment · Physics 2016-08-17 H1 Collaboration

The forward scattering amplitude of a small dipole at high energies is given in the mean field approximation by the Balitsky-Kovchegov (BK) evolution equation. It requires an initial condition $N(r; x_0)$ describing the scattering of a…

High Energy Physics - Phenomenology · Physics 2023-06-27 Adrian Dumitru , Heikki Mäntysaari , Risto Paatelainen

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

High Energy Physics - Phenomenology · Physics 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels

We study the contribution of the truncated BFKL series to the electroproduction process showing that a reliable description is obtained taking into account two orders in perturbation theory. Using the recent F2 logarithmic slope data as a…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. B. Gay Ducati , M. V. T. Machado

We present a determination of the parton distribution functions of the proton in which NLO and NNLO fixed-order calculations are supplemented by NLLx small-x resummation. Deep inelastic structure functions are computed consistently at…

High Energy Physics - Phenomenology · Physics 2018-05-09 Richard D. Ball , Valerio Bertone , Marco Bonvini , Simone Marzani , Juan Rojo , Luca Rottoli

We propose a modified Balitsky-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which contains an intrinsic dependence on momentum transfer Q, and satisfies the unitarity bound. The idea is to relax the strong…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hsiang-nan Li

The combination is presented of all inclusive deep inelastic scattering cross sections previously published by the H1 and ZEUS collaborations at HERA for neutral and charged current $ep$ scattering for zero beam polarisation. The data were…

High Energy Physics - Experiment · Physics 2016-07-05 M. Wing

We perform the first dipole picture fit to HERA inclusive cross section data using the full next-to-leading order (NLO) impact factor combined with an improved Balitsky-Kovchegov evolution including the dominant effects beyond leading…

High Energy Physics - Phenomenology · Physics 2020-11-04 G. Beuf , H. Hänninen , T. Lappi , H. Mäntysaari

Selected recent data from collider experiments pertaining to the understanding of QCD at low Bjorken-x are reviewed. The status of QCD and Regge factorisation in hard diffractive interactions is discussed in terms of data from HERA and the…

High Energy Physics - Experiment · Physics 2010-03-25 Paul Newman

We suggest a modified form of a unitarized BFKL equation imposing the so-called kinematic constraint on the gluon evolution in multi-Regge kinematics. The underlying nonlinear effects on the gluon evolution are investigated by solving the…

High Energy Physics - Phenomenology · Physics 2019-06-14 P. Phukan , M. Lalung , J. K. Sarma

We search for deviations from next-to-leading order QCD evolution in HERA structure function data. We compare to data predictions for structure functions in the small x region, obtained by evolving backwards to low Q^2 the results of a…

High Energy Physics - Phenomenology · Physics 2014-11-20 Fabrizio Caola , Stefano Forte , Juan Rojo

In this thesis we consider the polarized deep inelastic scattering in the region of low values of Bjorken variable, $x$. We formulate the evolution equations for the unintegrated parton distributions which include a complete resummation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ziaja

Measurements of HERA that explore the parton dynamics at low Bjorken x are presented together with precise determinations of the strong coupling constant alpha_s. Calculations at next to leading order using the DGLAP evolution fail to…

High Energy Physics - Experiment · Physics 2016-11-09 Dorian Kcira

Among the dipole models of deep inelastic scattering at small values of the Bjorken variable $x$, one has been recently proposed which relates the virtual photon-proton cross section to the dipole-proton forward scattering amplitude in…

High Energy Physics - Phenomenology · Physics 2008-12-18 E. Basso , M. B. Gay Ducati , E. G. de Oliveira , J. T. de Santana Amaral

We show how perturbation theory may be reorganized to give splitting functions which include order by order convergent sums of all leading logarithms of $x$. This gives a leading twist evolution equation for parton distributions which sums…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. D. Ball , S. Forte

We argue that existing measurements of ep collisions at HERA --in which an energetic photon is made via a QED `Compton' subprocess-- can provide rather detailed information on the photonic parton density of the proton. This function and its…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. De Rujula , W. Vogelsang

The distribution of transverse energy, $E_T$, which accompanies deep-inelastic electron-proton scattering at small $x$, is predicted in the central region away from the current jet and proton remnants. We use BFKL dynamics, which arises…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Kwiecinski , A. D. Martin , P. J. Sutton , K. Golec-Biernat

We perform a global parton fit to DIS and related data, including next-to-leading logarithmic (NLL) BFKL resummations in both the massless and massive sectors. The resummed fit improves over a standard next-to-leading order (NLO) DGLAP fit,…

High Energy Physics - Phenomenology · Physics 2007-06-19 C. D. White , R. S. Thorne