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Related papers: Gluon evolution at low $x$ and the longitudinal st…

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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

Deuteron and proton structure functions are derived from Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations of singlet and non-singlet structure functions in next-to-leading order (NLO) at low-x assuming the Regge…

High Energy Physics - Phenomenology · Physics 2007-10-23 U. Jamil , J. K. Sarma

We formulate the momentum-space Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for structure functions measurable in deeply inelastic scattering. We construct a six-dimensional basis of structure functions that…

High Energy Physics - Phenomenology · Physics 2025-01-20 Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio

We calculate the gluon structure function of a color dipole in a new approach evaluating the matrix elements of SU(2) gluon field operators separated along a direction close to the light cone. As vacuum state in the pure glue sector, we use…

High Energy Physics - Phenomenology · Physics 2010-02-04 D. Grünewald , E. -M. Ilgenfritz , H. J. Pirner

We show estimates for shadowing of gluons at small values of $x$, appropriate to RHIC and LHC experiments using a new evolution equation which takes into account the effects of gluon recombination to all orders in gluon density. We show…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Jalilian-Marian

Explicit analytical expressions are derived for the gluon propagator in a generic linear covariant $R_\xi$ gauge, by a screened massive expansion for the exact Faddeev-Popov Lagrangian of pure Yang-Mills theory. At one-loop, if the gauge…

High Energy Physics - Phenomenology · Physics 2019-10-16 Fabio Siringo , Giorgio Comitini

We present a novel approach to compute Generalized Parton Distributions within the Lightfront Wave Function overlap framework. We show how to systematically extend Generalized Parton Distributions computed within the DGLAP region to the…

High Energy Physics - Phenomenology · Physics 2017-12-29 N. Chouika , C. Mezrag , H. Moutarde , J. Rodríguez-Quintero

Off-forward structure functions of the pion are investigated in twist-two and twist-three approximation. A simple model is used for the pion, which allows to introduce finite size effects, while preserving gauge invariance. Results for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. Bissey , J. R. Cudell , J. Cugnon , J. P. Lansberg , P. Stassart

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

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

A model for the longitudinal structure function $F_L$ at low $x$ and low $Q^2$ is presented, which includes the kinematical constraint $F_L \sim Q^4$ as $Q^2 \rightarrow 0$. It is based on the photon-gluon fusion mechanism suitably…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Badelek , J. Kwiecinski , A. Stasto

In this paper, we find the t and x-evolution of deuteron structure function from DGLAP evolution equation of singlet structure function in leading order at small-x assuming the Regge behaviour of the singlet structure function at this limit…

High Energy Physics - Phenomenology · Physics 2014-11-17 U. Jamil , J. K. Sarma

Inspired by the recent measurements of the $\eta_c$ meson production at LHC, we investigate the relativistic correction effect for the fragmentation function of the gluon into $\eta_c$, which constitutes the crucial nonperturbative elements…

High Energy Physics - Phenomenology · Physics 2017-04-05 Xiangrui Gao , Yu Jia , LiuJi Li , Xiaonu Xiong

We consider soft gluon evolution in the colour flow basis. We give explicit expressions for the colour structure of the (one-loop) soft anomalous dimension matrix for an arbitrary number of partons, and show how the successive…

High Energy Physics - Phenomenology · Physics 2015-06-18 Simon Plätzer

The status of measurements and interpretation of the proton structure function F2 is summarized. The measurements are subjected to DGLAP fits, from which the gluon density is extracted and a comparison to measurements of F2c is performed.…

High Energy Physics - Experiment · Physics 2016-11-23 Christoph Amelung

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 Glauber-Mueller…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. B. Gay Ducati , V. P. Gonçalves

The $k_{\perp}$ dependent gluon distribution is calculated accounting for the resummation of small~$x$ effects due to the Lipatov equation. It is represented by a convolution of a gluon density in the collinear limit and a universal…

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

The distribution of the spin of the nucleon among its constituents can be parametrized in the form of polarized parton distribution functions for quarks and gluons. Using all available data on the polarized structure function $g_1(x,Q^2)$,…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Gehrmann , W. J. Stirling

We investigate the gluon distribution functions and their contributions to the Higgs boson production in pp collisions in the transverse momentum dependent factorization formalism. In addition to the usual azimuthal symmetric transverse…

High Energy Physics - Phenomenology · Physics 2013-05-29 Peng Sun , Bo-Wen Xiao , Feng Yuan

The use of the differential gluon structure function of the proton ${\cal F}(x,Q^{2})$ introduced by Fadin, Kuraev and Lipatov in 1975 is called upon in many applications of small-x QCD. We report here the first determination of ${\cal…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. P. Ivanov , N. N. Nikolaev
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