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The energy dependence for the singlet sector of Parton Distributions Functions (PDFs) is described by an entangled pair of ordinary linear differential equations. Although there are no exact analytic solutions, it is possible to provide…

高能物理 - 唯象学 · 物理学 2024-02-28 Andrea Simonelli

We present an analytic formula to extract the longitudinal structure function in the next- to -leading order of the perturbation theory at low $x$, from the Regge- like behavior of the gluon distribution and the structure function at this…

高能物理 - 唯象学 · 物理学 2015-06-18 G. R. Boroun

In this work, we present an analytical solution for QCD$\otimes$QED coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at the leading order (LO) accuracy in QED and next-to-leading order (NLO) accuracy in…

高能物理 - 唯象学 · 物理学 2017-08-23 S. Zarrin , G. R. Boroun

In this paper I show that it is possible to use Regge theory to constrain the initial parton distribution functions of a global DGLAP fit. In this approach, both quarks and gluons have the same high-energy behaviour which may also be used…

高能物理 - 唯象学 · 物理学 2014-11-17 Gregory Soyez

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…

高能物理 - 唯象学 · 物理学 2007-10-23 U. Jamil , J. K. Sarma

The small-x behavior of the singlet contributions to the polarized structure function g_2(x,Q^2) is calculated in the double-logarithmic approximation of perturbative QCD. The dominant contribution is due to the gluons which, in contrast to…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Bartels , M. G. Ryskin

The gluon distribution is dominated by the hard pomeron at small $x$ and all $Q^2$, with no soft-pomeron contribution. This describes well not only the DGLAP evolution of the hard-pomeron part of $F_2(x,Q^2)$, but also charm photoproduction…

高能物理 - 唯象学 · 物理学 2014-11-17 A Donnachie , P V Landshoff

We present particular and unique solutions of singlet and non-singlet Dokshitzer-Gribov-Lipatov- Altarelli-Parisi (DGLAP) evolution equations in next-to-next-to-leading order (NNLO) at low-x. We obtain t-evolutions of deuteron, proton,…

高能物理 - 唯象学 · 物理学 2010-02-18 Rasna Rajkhowa

We consider the interaction of the partonic fluctuation of a scalar ``photon'' with an external color field to calculate the leading and next-to-leading order gluon distribution of the proton following the work done by…

高能物理 - 唯象学 · 物理学 2009-11-10 H. -J. Pirner , A. I. Shoshi , G. Soyez

Using the QCD dipole picture of the BFKL pomeron, the gluon contribution to the cross-section for single diffractive dissociation in deep-inelastic high-energy scattering is calculated. The resulting contribution to the proton diffractive…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Bialas , R. Peschanski

An approximated solution for gluon distribution from DGLAP evolution equations with NLO splitting function in the small-$x$ limit is presented. We first obtain the simplified forms of LO and NLO splitting functions in the small-$x$ limit.…

高能物理 - 唯象学 · 物理学 2024-01-29 Jingxuan Chen , Xiaopeng Wang , Yanbing Cai , Xurong Chen , Qian Wang

In this paper we present solutions of the coupled DGLAP equations for quark and gluon singlet by applying the method of characteristics. Solutions are presented both in analytic and semi-analytic forms, compared with the exact results and…

高能物理 - 唯象学 · 物理学 2007-05-23 D. K. Choudhury , P. K. Sahariah

We study parton-branching solutions of QCD evolution equations and present a method to construct both collinear and transverse momentum dependent (TMD) parton densities from this approach. We work with next-to-leading-order (NLO) accuracy…

高能物理 - 唯象学 · 物理学 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We investigate numerical solution of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) Q^2 evolution equations for longitudinally polarized structure functions. Flavor nonsinglet and singlet equations with next-to-leading-order $\alpha_s$…

高能物理 - 唯象学 · 物理学 2014-11-17 M. Hirai , S. Kumano , M. Miyama

We report a semi-analytical approach for the solution of the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for sea quark distribution and investigate the effect of gluon shadowing on the small-x and moderate-Q^2…

高能物理 - 唯象学 · 物理学 2018-08-09 Mayuri Devee

We present particular and unique solutions of Dokshitzer- Gribov- Lipatov- Altarelli-Parisi (DGLAP) evolution equation for gluon structure function in leading order (LO) and obtain t and x-evolutions of gluon structure function at small-x.…

高能物理 - 唯象学 · 物理学 2012-09-20 R. Rajkhowa , J. K. Sarma

In the high energy regime, the proton structure consists of a very large number of particles called partons (quarks and gluons) that interact with each other, according to the theory of strong interactions, Quantum Chromodynamics (QCD).…

高能物理 - 唯象学 · 物理学 2018-08-06 Gilvana C. Penedo , Werner K. Sauter

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…

高能物理 - 唯象学 · 物理学 2014-11-17 U. Jamil , J. K. Sarma

In this paper the singlet and non-singlet hadron structure functions have been obtained by solving Dokshitzer-Gribov-Lipatov-Alterelli-Parisi (DGLAP) evolution equations in leading order (LO) at the small-x limit. Here we have used a Taylor…

高能物理 - 唯象学 · 物理学 2007-05-23 R Baishya , R Rajkhowa , J K Sarma

We present the polarized parton distribution functions from a QCD analysis of the worldwide polarized deep inelastic scattering data, based on the dynamical parton distribution model. All the sea quarks and gluons are dynamically generated…

高能物理 - 唯象学 · 物理学 2022-11-23 Chengdong Han , Gang Xie , Rong Wang , Xurong Chen