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We discuss the small $x$ behaviour of the spin dependent structure function $g_1$. We find a contribution from the exchange of two non-perturbative gluons which behaves as $\sim ( 2 \ln {1 \over x} -1)$.

High Energy Physics - Phenomenology · Physics 2009-10-28 S D Bass , P V Landshoff

We study how the rapidity evolution of gluon transverse momentum dependent distribution changes from nonlinear evolution at small $x \ll 1$ to linear evolution at moderate $x \sim 1$.

High Energy Physics - Phenomenology · Physics 2015-09-30 I. Balitsky , A. Tarasov

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 derive analytical results for unintegrated color dipole gluon distribution function at small transverse momentum. By Fourier transforming the $S$-matrix for large dipoles we derive the results in the form of a series of Bells…

High Energy Physics - Phenomenology · Physics 2018-03-21 Raktim Abir , Khatiza Banu , Trambak Bhattacharyya , Mariyah Siddiqah , Nahid Vasim

We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks…

High Energy Physics - Phenomenology · Physics 2008-11-26 Markus Diehl , Wolfgang Kugler

We present the numerical solution of the leading order QCD evolution equation for the orbital angular momentum distributions of quarks and gluons and discuss its implications for the nucleon spin sum rule. We observe that at small-$x$, the…

High Energy Physics - Phenomenology · Physics 2018-04-11 Yoshitaka Hatta , Dong-Jing Yang

We present a nonlinear modification of the evolution of the gluon density, obtained at small x from the Berger-Block-Tan form of the deep inelastic structure function F2 in the leading order of perturbation theory.

High Energy Physics - Phenomenology · Physics 2020-01-29 A. V. Kotikov

Evolution of gluon distribution function from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in next-to-leading order (NLO) at low-x is presented assuming the Regge behaviour of quarks and gluons at this limit. We…

High Energy Physics - Phenomenology · Physics 2010-03-25 U. Jamil , J. K. Sarma

The AGL equation includes all multiple pomeron exchanges in the double logarithmic approximation (DLA) limit, leading to an unitarized gluon distribution in the small $x$ regime. This equation was originally obtained using the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. B. Gay Ducati , V. P. Gonçalves

We propose an evolution equation for unintegrated gluon densities that is valid for large values of the QCD coupling constant $\bar{\alpha} _s$. Our approach is based on the linear resummation model introduced by Sta\'{s}to. We generalize…

High Energy Physics - Phenomenology · Physics 2014-02-04 Krzysztof Kutak , Piotr Surówka

We have used QCD and polarized deep-inelastic scattering data to construct x-dependent polarized parton distributions. These flavor dependent distributions evolve under the NLO DGLAP equations, satisfy positivity constraints and agree well…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gordon P. Ramsey

The nonlinear Balitsky-Kovchegov equation at small x is solved numerically, incorporating impact parameter dependence. Confinement is modeled by including effective gluon mass in the dipole evolution kernel, which regulates the splitting of…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jeffrey Berger , Anna M. Stasto

The proton's gluon structure function at small x is larger than nowadays is commonly believed

High Energy Physics - Phenomenology · Physics 2014-11-17 P. V. Landshoff

The impact of the resummation of leading small-$x$ terms in the anomalous dimensions is briefly summarized for the evolution of non--singlet and singlet polarized structure functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , A. Vogt

We recall the origin of angular ordering of soft parton emission in the region of small $x$ and show that this coherent structure can be detected in associated distributions. For structure functions at small $x$ and at fixed transverse…

High Energy Physics - Phenomenology · Physics 2009-10-28 Giuseppe Marchesini

I discuss the problem of computing the structure functions for very heavy nuclei at small Bjorken x. The approximations used in this description are physically motivated, and recent computations reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 L. McLerran

Different approaches to gluon shadowing at small x are reviewed. Some available results relevant for RHIC and LHC are compared.

High Energy Physics - Phenomenology · Physics 2007-05-23 N. Armesto , C. A. Salgado

We present a set of independent formulae to extract the gluon distribution and singlet structure function from its derivatives with respect to $lnQ^{2}$ in the next- to- leading order of perturbation theory at low-$x$ based on a hard…

High Energy Physics - Phenomenology · Physics 2016-11-15 G. R. Boroun

We show how it is possible to rewrite the BFKL equation for the unintegrated gluon distribution, in terms of integrated gluons, similar to that used in DGLAP. We add to our equation the next-to-leading log terms which provide exact…

High Energy Physics - Phenomenology · Physics 2015-06-19 E. G. de Oliveira , A. D. Martin , M. G. Ryskin

I investigate the relationship between the gluon distribution obtained using a dipole model fit to low-x data on F_2(x,Q^2) and standard gluons obtained from global fits with the collinear factorization theorem at fixed order. I stress the…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. S. Thorne