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In the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants we show that Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. Yu. Illarionov , A. V. Kotikov

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 analyze the capability of charm production in deep-inelastic ep scattering at HERA to constrain the gluon distribution g(y,\mu^2) of the proton. The dependence of the theoretical predictions for the charm structure function F_2^c on the…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. Vogt

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and \alpha_s(Q^2). There is no factorization scheme dependence, and the ``physical anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert S. Thorne

We present estimates of possible data on spin-dependent asymmetries in inclusive scattering of high energy polarized electrons by high energy polarized protons at HERA, including statistical errors, and discuss systematic uncertainties. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard D. Ball , Abhay Deshpande , Stefano Forte , Vernon W. Hughes , Jechiel Lichtenstadt , Giovanni Ridolfi

We study the power corrections (infrared renormalon contributions) to the coefficient functions for non-singlet deep inelastic structure functions due to gluon vacuum polarization insertions in one-loop graphs. Remarkably, for all the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Dasgupta , B. R. Webber

We present a set of formulae to extract the longitudinal deep inelastic structure function $F_L$ from the transverse structure function $F_2$ and its derivative $dF_2/dlnQ^2$ at small $x$. Our expressions are valid for any value of…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Kotikov , G. Parente

We report the results of including resummed splitting functions in the QCD evolution equations at small x, and discuss the predictions that follow for the deep inelastic structure functions. *Contribution at XXX Rencontres de Moriond, Les…

High Energy Physics - Phenomenology · Physics 2016-09-01 F. Hautmann

A systematic study is performed of the impact of the various resummed small-$x$ contributions to the anomalous dimensions and coefficient functions on the evolution of unpolarized structure functions in deep-inelastic scattering. The proton…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Blümlein , A. Vogt

New results from the H1 and ZEUS collaborations on the measurement of cross-sections at very high Q^2 (up to 25000 GeV^2) and on the proton structure function F_2(x,Q^2) for momentum transfers squared Q^2 >= 1.5 GeV^2 and Bjorken x >= 3.5…

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

A brief overview is presented of recent developments concerning resummed small-x evolution, based upon the renormalization group equation. The non-singlet and singlet structure functions are discussed for both polarized and unpolarized…

High Energy Physics - Phenomenology · Physics 2011-04-15 J. Blümlein , S. Riemersma , A. Vogt

We study infrared contributions to the QCD description of the HERA data on the structure function $F_{2}$ within the \textit{generalized} DAS approximation. We argue that this approximation is a natural one and consistent with the…

High Energy Physics - Phenomenology · Physics 2011-03-28 E. G. S. Luna , A. A. Natale , A. L. dos Santos

On the basis of some peculiar scaling properties of the OPE coefficient functions, we give the lower bounds for F_2^{c\bar{c}} and F_2^{b\bar{b}} independently of the properties of the gluon density function. Predictions for F_2^{b\bar{b}}…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. V. Kisselev , V. A. Petrov

Recent experimental results contributing to the understanding of the structure of the nucleon are reviewed. They include the final NMC results on proton and deuteron structure functions; a re-analysis of the CCFR data on F2 and xF3; new…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Chekelian

We have extended previous results on the threshold expansion of the gluon coefficient function for the charm contribution to the deep-inelastic structure function F_2 by deriving all threshold-enhanced contributions at the…

High Energy Physics - Phenomenology · Physics 2010-11-19 N. A. Lo Presti , H. Kawamura , S. Moch , A. Vogt

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

In the leading twist approximation of the Wilson operator product expansion with standard and "frozen" versions of strong copling constant we show that the Bessel-inspired behavior of the structure function $F_2$ at small $x$, obtained for…

High Energy Physics - Phenomenology · Physics 2008-12-31 A. Yu. Illarionov , A. V. Kotikov

We show that the charm structure functions $F^{c}_{k}$ have a hard pomeron behavior at low x, as the gluon distribution is dominated by the hard (Lipatov) pomeron at small x and all $Q^{2}$ values. It is shown that the charm structure…

High Energy Physics - Phenomenology · Physics 2014-02-04 G. R. Boroun , B. Rezaei

We summarize recent progress in the resummation of perturbative evolution at small x. We show that the problem of incorporating BFKL small x logs in GLAP evolution is now completely solved, and that the main effect of small x resummation is…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stefano Forte , Guido Altarelli , Richard D. Ball

We numerically study the effects of high gluon density at small x on the evolution of gluon distribution function in both hadrons and nuclei. Using a newly derived, Wilson renormalization group-based evolution equation which includes n to 1…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jamal Jalilian-Marian , Xin-Nian Wang