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Exploration of the small $x$ kinematic region by the HERA experiments led to a revival of some models which existed before the advent of Quantum Chromo Dynamics (QCD) as the theory of the strong interactions. Predictions of these models for…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. L. van Neerven

We perform a NLO QCD analysis of deep-inelastic scattering data, in which we account for absorptive corrections. These corrections are determined from a simultaneous analysis of diffractive deep-inelastic data. The absorptive effects are…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. D. Martin , M. G. Ryskin , G. Watt

The existing data obtained in deep-inelastic scattering (DIS) experiments in the kinematical region $x_B \approxle 10^{-2}$ and $Q^2 \ge 5 {GeV}^2$ are examined to gain further insight into the dynamics of interacting gluons. It is shown…

High Energy Physics - Phenomenology · Physics 2007-05-23 Meng Ta-chung , R. Rittel , K. Tabelow

We review small $x$ contributions to perturbative evolution equations for parton distributions, and their resummation. We emphasize in particular the resummation technique recently developed in order to deal with the apparent instability of…

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

The $F_2$, $F_G$, $R = F_L/F_T$ proton structure functions are derived in the QCD dipole picture. Assuming $k_T$ and renormalization-group factorization, we relate deep-inelastic proton scattering to deep-inelastic onium scattering. We get…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Navelet , R. Peschanski , Ch. Royon , S. Wallon

We present a first study of gluonic twist-four corrections to the deep inelastic structure function F_2 at small x and small Q^2. The calculations are based upon the double logarithmic approximation of the coupled twist-four evolution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jochen Bartels , Claas Bontus

Within a QCD-based eikonal model with a dynamical infrared gluon mass scale we discuss how the small $x$ behavior of the gluon distribution function at moderate $Q^{2}$ is directly related to the rise of total hadronic cross sections. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. G. S. Luna , A. A. Natale , C. M. Zanetti

We show that the diffractive structure function is perturbatively calculable in the domain where the diffractive mass is small but still outside the resonance region. In this domain, which can be characterized by Lambda^2/Q^2 << 1-beta <<…

High Energy Physics - Phenomenology · Physics 2009-02-20 A. Hebecker , T. Teubner

Several topics from the wide field of QCD studies in Deep-inelastic $ep$ Scattering at HERA are addressed. They include QCD analyses of the inclusive cross section with the determination of $\alpha_s$ and the proton gluon density from the…

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

We critically examine the QCD predictions for the $Q^2$ dependence of the electron-proton deep-inelastic structure function $F_2(x,Q^2)$ in the small $x$ region, which is being probed at HERA. The standard results based on next-to-leading…

High Energy Physics - Phenomenology · Physics 2010-03-25 A. J. Askew , K. Golec , J. Kwiecinski , A. D. Martin , P. J. Sutton

The small x behaviour of the non-singlet structure function is studied within the double logarithmic approximation (DLA) of perturbative QCD. Since there is neither $k_T$ nor $\theta$ ordering in the ladder Feynman graphs, the predicted…

High Energy Physics - Phenomenology · Physics 2016-09-01 B. I. Ermolaev , S. I. Manayenkov , M. G. Ryskin

In this contribution we apply the QCD dipole picture combined with $k_T$-factorization to get predictions for deep-inelastic scattering on an onium. Assuming renormalization-group factorization, we get predictions for the $F_2, F_G$ and $R=…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Wallon

We present a method for the analytic solution of small $x$ structure functions. The essential small $x$ logarithms are summed to all orders in the anomalous dimensions and coefficient functions. Although we work at leading logarithmic…

High Energy Physics - Phenomenology · Physics 2010-03-25 J. R. Forshaw R. G. Roberts R. S. Thorne

We argue that the difference between the structure functions corresponding to deep inelastic scattering with and without heavy quarks in the current fragmentation region scales at high $Q^2$ and fixed (low) $x_{Bj}$. The lower bound on…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. V. Kisselev , V. A. Petrov

While much attention has been focussed on the successes of perturbative QCD in describing the $Q^2$-dependence of deep-inelastic structure functions, the starting distributions themselves contain important, non-perturbative information on…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. W. Thomas

We make a critical study of the relationship between the singlet structure function $F_{2}^{S}$ and the gluon distribution $G(x,Q^{2})$ proposed in the past two decades, which is frequently used to extract the gluon distribution from the…

High Energy Physics - Phenomenology · Physics 2014-04-22 G. R. Boroun

The $F_{2}$, $F_{G}$, $R=F_{L}/F_{T}$ proton structure functions are derived in the QCD dipole picture of BFKL dynamics. We get a three parameter fit describing the 1994 H1 proton structure function $F_{2}$ data in the low $x$, moderate…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ch. Royon

A review of theoretical models of diffractive structure functions in deep inelastic scattering (DIS) is presented with a view to highlighting distinctive features, that may be distinguished experimentally. In particular, predictions for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. F. McDermott , G. Briskin

Pomeron loop effects (gluon number fluctuations) on deep inelastic scattering (DIS) in the fixed coupling case are studied. We show that the description of the HERA data for the inclusive structure function $F_2(x,Q^2)$ for $x\leq10^{-2}$…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wenchang Xiang

We apply analytic perturbation theory to the QCD analysis of the xF_3(x,Q^2) structure function considering a combined set of deep inelastic scattering data presented by several collaborations, and extract values of the scale parameter…

High Energy Physics - Phenomenology · Physics 2014-11-26 A. V. Sidorov , O. P. Solovtsova