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It has been observed recently that a consistent LO BFKL gluon evolution leads to a steep growth of F_2(x,Q^2) for x -> 0 almost independently of Q^2. We show that current data from the DESY HERA collider are precise enough to finally rule…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bojak , M. Ernst

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, with "frozen" and analytic modifications of the strong coupling constant to study precise…

High Energy Physics - Phenomenology · Physics 2015-06-12 A. V. Kotikov , B. G. Shaikhatdenov

We discuss the observed scaling of the small-x diffractive and total deep-inelastic structure functions at HERA. We argue that the parton interpretation of Buchm\"uller and Hebecker can be understood within QCD as the appearance of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan R. White

The differences are discussed between various next-to-leading order prescriptions for the QCD evolution of parton densities and structure functions. Their quantitative impact is understood to an accuracy of 0.02\%. The uncertainties due to…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , S. Riemersma , W. L. van Neerven , A. Vogt

The perturbative QCD approach to multiparticle production assuming Local Parton Hadron Duality (LPHD) and some recent results are discussed. Finite asymptotic scaling limits are obtained for various observables, after an appropriate…

High Energy Physics - Phenomenology · Physics 2011-04-15 Wolfgang Ochs

We perform the fit to the structure function $F_2$ data from HERA including terms due to the resummation at small $x$. The equation for the unintegrated gluon density is solved, previously established within the renormalization group…

High Energy Physics - Phenomenology · Physics 2022-07-13 Wanchen Li , Anna M. Stasto

In the HERAPDF2.0 PDF analysis it was noted that the fit $\chi^2$ worsens significantly at low $Q^2$ for both NLO and NNLO fits. The turn over of the reduced cross section at low-$x$ and low $Q^2$ due to the contribution of the longitudinal…

High Energy Physics - Phenomenology · Physics 2016-05-30 A. M Cooper-Sarkar , I. Abt , B. Foster , M. Wing , V. Myronenko , K. Wichmann

Recent structure function results from the H1 and ZEUS Collaborations are presented. The data cover a wide kinematic range of squared four-momentum transfers Q^2, from 0.2 GeV^2 to 30000 GeV^2, and Bjorken x between 5*10^-6 and 0.65. Data…

High Energy Physics - Experiment · Physics 2010-06-01 Alexey Petrukhin

We illustrate geometric scaling for the photon-proton cross section with a very simple saturation model. We describe the proton structure function F2 at small x in a wide kinematical range with an elementary functional form and a small…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Munier

Nonsinglet contributions to the $g_1(x,Q^2)$ structure function are calculated in the double-logarithmic approximation of perturbative QCD in the region $x \ll 1$. Double logarithmic contributions of the type $(\alpha_s \ln ^2 (1/x))^k$…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartels

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

A detailed comparison of HERA data at low Bjorken-$x$ and low four-momentum-transfer squared, $Q^2$, with predictions based on $\ln{Q^2}$ evolution (DGLAP) in perturbative Quantum Chromo Dynamics suggests inadequacies of this framework. The…

High Energy Physics - Phenomenology · Physics 2016-10-12 I. Abt , A. M. Cooper-Sarkar , B. Foster , V. Myronenko , K. Wichmann , M. Wing

We present a set of formula to extract exponents of the longitudinal structure function and reduced cross section from the Regge-like behavior at small $x$. The exponents are found to be independent of $Q^{2}$ at NNLO analysis. As a result,…

High Energy Physics - Phenomenology · Physics 2020-01-24 G. R. Boroun

The asymptotic freedom is known to split the leading-$\log$ BFKL pomeron into a series of isolated poles in the complex angular momentum plane. One of our earlier findings was that the subleading hard BFKL exchanges decouple from such…

High Energy Physics - Phenomenology · Physics 2009-12-22 R. Fiore , N. N. Nikolaev , V. R. Zoller

New Results on the measurement of the proton structure function F_2(x,Q^2) are reported for momentum transfers squared Q^2 >= 1.5 GeV^2 and Bjorken x >= 3.5 10^{-5} using data collected by the HERA experiments H1 and ZEUS in 1994. F_2…

High Energy Physics - Experiment · Physics 2007-05-23 Gregorio Bernardi

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 2009-11-10 V. G. Krivokhijine , A. V. Kotikov

We present a set of formulas to extract the ratio $F_{L}(x,Q^{2})/F_{2}(x,Q^{2})$ and $R(x,Q^{2})$ from the proton structure function parameterized in the next-to-next-to-leading order of the perturbative theory at low $x$ values. The…

High Energy Physics - Phenomenology · Physics 2020-06-29 B. Rezaei , G. R. Boroun

We critically review the QCD predictions for the cross sections sigma_L and sigma_T for diffractive rho meson electroproduction in longitudinally and transversely polarised states in the HERA energy region. We show that both perturbative…

High Energy Physics - Phenomenology · Physics 2016-08-24 A. D. Martin , M. G. Ryskin , T. Teubner

We analyse the data for the proton structure function $F_2$ over the entire $Q^2$ domain, including especially low $Q^2$, in terms of perturbative and non-perturbative QCD contributions. The small distance configurations are given by…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. D. Martin , M. G. Ryskin , A. Stasto

We present a method to extract, in the leading and next-to-leading order approximations, the longitudinal deep-inelastic scattering structure function FL(x,Q2) from the experimental data by relying on a Froissart-bounded parametrization of…

High Energy Physics - Phenomenology · Physics 2019-05-29 L. P. Kaptari , A. V. Kotikov , N. Yu. Chernikova , Pengming Zhang