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Related papers: BFKL versus HERA

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In this letter we show that the behaviour of $F_{2}$, at very small $x_B$, agrees with the behaviour expected from the BFKL evolution equation, when screening corrections are included. We obtain a description which is consistent with the…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Gotsman , E. M. Levin , U. Maor

We fit the reduced cross section for deep-inelastic electron scattering data to a three parameter ln^2 s fit, A + beta ln^2 (s/s_0), where s= [Q^2/x] (1-x) + m^2, and Q^2 is the virtuality of the exchanged photon. Over a wide range in Q^2…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. M. Block , E. L. Berger , C. -I. Tan

We describe the determination of the heavy quarks structure functions $F_{2,L}^{\mathcal{Q}\bar{\mathcal{Q}}}$ with help of the scaling properties. We observe that the structure functions for inclusive charm and bottom production exhibits…

High Energy Physics - Phenomenology · Physics 2022-11-08 G. R. Boroun

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

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

The QCD expectations for the behaviour of the deep inelastic scattering structure functions in the region of small values of the Bjorken parameter $x$ are summarized. The Balitzkij, Lipatov, Fadin, Kuraev (BFKL) equation which sums the…

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

The use of the BFKL kernel improved by the inclusion of subleading terms generated by renormalization group (RG) analysis has been suggested to cure the instabilities in the behavior of the BFKL Green's function in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Francesco Caporale , Alessandro Papa , Agustin Sabio Vera

In the kinematic region of small $x$ and large $Q^2$ in deep inelastic scattering, presently being explored by HERA, we present an analysis of the evolution of the longitudinal structure function $F_L^{p}(x, Q^2)$ in the double scaling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tapobrata Sarkar , Rahul Basu

The prediction of FL(x,Q2)=0.27F2(x,Q2) in the color-dipole picture based on color-transparency and transverse-size reduction, is consistent with the experimental results from HERA.

High Energy Physics - Phenomenology · Physics 2009-07-06 Dieter Schildknecht

We discuss the experimental indications on the behaviour of F_2(x,Q^2) at small x both in proton and nuclear targets. By comparing the parametrizations of the data we conclude that shadowing correction effects in a proton target can appear…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yu. M. Shabelski , D. Treleani

Within the color dipole gBFKL dynamics applied to the diffraction slope we predict an anomalous t dependence of the differential cross section as a function of energy and Q^2 for production of radially excited V'(2S) light vector mesons in…

High Energy Physics - Phenomenology · Physics 2009-01-07 J. Nemchik

It is shown that in the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants, Bessel-inspired behavior of the structure functions F2 and F2cc and also the derivative d(ln…

High Energy Physics - Phenomenology · Physics 2012-12-18 A. V. Kotikov

The measurement of forward jet cross sections has been suggested as a promising probe of new small x parton dynamics and the question is whether the new HERA data provide an indication of this. In this paper the influence of resolved photon…

High Energy Physics - Phenomenology · Physics 2014-11-17 H. Jung , L. Jönsson , H. Küster

From the new measurement of F_L at HERA we derive fixed-Q^2 averages <F_L/F_2>. We compare these with bounds which are rigorous in the framework of the standard dipole picture. The bounds are sharpened by including information on the charm…

High Energy Physics - Phenomenology · Physics 2015-06-04 Carlo Ewerz , Andreas von Manteuffel , Otto Nachtmann , Andre Schoning

The BFKL approach for the investigation of semihard processes is plagued by large next-to-leading corrections, both in the kernel of the universal BFKL Green's function and in the process-dependent impact factors, as well as by large…

High Energy Physics - Phenomenology · Physics 2015-05-21 Francesco Caporale , Dmitry Yu. Ivanov , Beatrice Murdaca , Alessandro Papa

It is shown that the CKMT model for the nucleon structure function F2, taken as the initial condition for the NLO evolution equations in perturbative QCD, provides a good description of the HERA data when presented in the form of the…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. B. Kaidalov , C. Merino , D. Pertermann

The application of k_t - factorization, supplemented with the CCFM small-x evolution equation, to heavy quark production is discussed. Differential cross sections of b-b_bar production and also inelastic J/psi production as measured at HERA…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Jung

The QCD expectations concerning the deep inelastic lepton - hadron scattering at low $x$ and their phenomenological implications for HERA are summarised. Theoretical predictions for the structure function $F_2(x,Q^2)$ based on the leading…

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

This contribution deals with $\mathrm L^2$ hypocoercivity methods for kinetic Fokker-Planck equations with integrable local equilibria and a \emph{factorisation} property that relates the Fokker-Planck and the transport operators. Rates of…

Analysis of PDEs · Mathematics 2023-08-10 Emeric Bouin , Jean Dolbeault , Luca Ziviani

We discuss the phenomenological extraction of the leading $ j$-plane singularity from singlet structure functions $ F_s $ measured at small $ x. $ Using a saddle-point method we show that $ {\rm d ln} F_s /{\rm d ln}{1 \over x} $ is a…

High Energy Physics - Phenomenology · Physics 2010-03-25 H. Navelet , R. Peschanski , S. Wallon