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Related papers: Small-x behaviour of the polarized structure funct…

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Equation for the sum of BFKL pomeron fan diagrams is rederived by direct summation and solved numerically for rapidities $y\leq 50$. At high rapidities y>20 the resulting cross-sections for the scattering of a longitudinally polarized…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. A. Braun

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

We solve a unified integral equation to obtain the $x, Q_T$ and $Q$ dependence of the gluon distribution of a proton in the small $x$ regime; where $x$ and $Q_T$ are the longitudinal momentum fraction and the transverse momentum of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski , A. D. Martin , P. J. Sutton

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

It is widely believed that at small x, the BFKL resummed gluon splitting function should grow as a power of 1/x. But in several recent calculations it has been found to decrease for moderately small-x before eventually rising. We show that…

High Energy Physics - Phenomenology · Physics 2014-11-17 Marcello Ciafaloni , Dimitri Colferai , Gavin P. Salam , Anna M. Stasto

The dependence of the diffractive nuclear shadowing and the nuclear pion excess effect on the deuteron spin alignment leads to a substantial tensor polarisation of sea partons in the deuteron. The corresponding tensor structure function…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Schaefer

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 resummation of $O(\alpha_s^{l+1} \ln^{2l} x)$ terms in the evolution equation of the singlet part of $g_1(x,Q^2)$ is carried out. The corresponding singlet evolution kernels are calculated explicitely. The leading small-$x$ contribution…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Blümlein , A. Vogt

A next-to-next-to-leading order (NNLO) QCD calculation of gluon distribution function at small-x is presented. The gluon distribution function is explored analytically in the DGLAP approach by a Taylor expansion at small x as two first…

High Energy Physics - Phenomenology · Physics 2018-08-10 Mayuri Devee , J. K. Sarma

Using the leading-twist approximation of the Wilson operator product expansion with "frozen" and analytic versions of the strong-coupling constant, we show that the Bessel-inspired behavior of the structure function F_2 and its slope\break…

High Energy Physics - Phenomenology · Physics 2009-10-02 G. Cvetic , A. Yu. Illarionov , B. A. Kniehl , A. V. Kotikov

We present description of the DIS structure functions F_1 and F_2 at small $x$ obtained in double-logarithmic approximation (DLA). First we clarify our previous results on F_1 and then obtain explicit expressions for F_2. Our calculations…

High Energy Physics - Phenomenology · Physics 2021-11-12 B. I. Ermolaev , S. I. Troyan

A simple model for the gluon structure function at small $x$ is presented, which gives an intuitive picture of the transition between the DGLAP and B FKL regimes.

High Energy Physics - Phenomenology · Physics 2017-08-23 Gösta Gustafson

We incorporate the next-to-leading order (NLO) and the next-to-next-to-leading order (NNLO) effects in the models of the Singlet Structure function F_2^S(x,t) and the gluon distribution G(x,t) using DGLAP equations approximated at small x.…

High Energy Physics - Phenomenology · Physics 2024-11-28 Luxmi Machahari , D. K. Choudhury

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 show that it is possible to use hard-Pomeron behavior to the gluon distribution and singlet structure function at low $x$. We derive a second-order independent differential equation for the gluon distribution and the singlet structure…

High Energy Physics - Phenomenology · Physics 2014-02-05 B. Rezaei , G. R. Boroun

We calculate the one-loop twist-3 gluon contribution to the flavor-singlet structure function g_2(x,Q^2) in polarized deep-inelastic scattering and find that it is dominated by the contribution of the three-gluon operator with the lowest…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. M. Braun , G. P. Korchemsky , A. N. Manashov

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related…

High Energy Physics - Phenomenology · Physics 2014-02-07 G. R. Boroun

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

At small-x, the structure function F_L(x,Q2) is driven by the gluon content of the nucleon target and consequently it can unravel the underlying QCD dynamics in that region. In this work, one studies its behavior on photon virtuality Q2 at…

High Energy Physics - Phenomenology · Physics 2009-11-11 Magno V. T. Machado

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