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We present numerical solutions of the $Q^2$ evolution equations at next-to-leading order (NLO) for unpolarized and polarized parton distributions, in both the flavor non-singlet and singlet channels. The numerical method is based on a…

高能物理 - 唯象学 · 物理学 2009-10-28 T. Weigl , W. Melnitchouk

Using the colour dipole picture for photon-nucleus interactions at small $x$ together with the Color Glass Condensate (CGC) effective theory, we demonstrate that the next-to-leading (NLO) order corrections to the cross-section for the…

高能物理 - 唯象学 · 物理学 2025-05-05 Paul Caucal , Edmond Iancu

QCD evolution equations can be recast in terms of parton branching processes. We present a new numerical solution of the equations. We show that this parton-branching solution can be applied to analyze infrared contributions to evolution,…

高能物理 - 唯象学 · 物理学 2017-08-23 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We explain particular, unique, approximate solutions of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations and also solutions of DGLAP evolution equations by using regge behaviour of structure functions and method of…

高能物理 - 唯象学 · 物理学 2010-05-07 R. Rajkhowa

Power-suppressed corrections to parton evolution may affect the theoretical accuracy of current determinations of parton distributions. We study the role of multigluon-exchange terms in the extraction of the gluon distribution for the Large…

高能物理 - 唯象学 · 物理学 2008-11-26 F. Hautmann

We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge…

高能物理 - 唯象学 · 物理学 2023-04-25 Gustavo Alvarez , Gorazd Cvetic , Bernd A. Kniehl , Igor Kondrashuk , Ivan Parra-Ferrada

Using the recently obtained Pgq splitting function we extend the low x evolution equation for gluons to account for contributions originating from quark-to-gluon splitting. In order to write down a consistent equation we resum virtual…

高能物理 - 唯象学 · 物理学 2016-12-21 M. Hentschinski , A. Kusina , K. Kutak

The small $x$ behaviour of polarized parton distributions is related to non-leading reggeons in the framework of the high-energy effective action. Double-logarithmic contributions to the reggeon interaction beyond the ones included in the…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Kirschner

We have analytically solved the LO pQCD singlet DGLAP equations using Laplace transform techniques. Newly-developed highly accurate numerical inverse Laplace transform algorithms allow us to write fully decoupled solutions for the singlet…

高能物理 - 唯象学 · 物理学 2015-03-17 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

Semi-inclusive hadron-production processes are becoming important in high-energy hadron reactions. They are used for investigating properties of quark-hadron matters in heavy-ion collisions, for finding the origin of nucleon spin in…

高能物理 - 唯象学 · 物理学 2015-05-28 M. Hirai , S. Kumano

The singlet contribution to the $g_1(x,Q^2)$ structure function is calculated in the double-logarithmic approximation of perturbative QCD in the region $x \ll 1$. Double logarithmic contributions of the type $(\alpha_s \ln ^2 (1/x))^k$…

高能物理 - 唯象学 · 物理学 2014-11-17 J. Bartels , B. I. Ermolaev , M. G. Ryskin

We propose exclusive diffractive dijet photoproduction as an ideal measure of the off-diagonal gluon distribution at high scales. We solve the off-diagonal evolution equations for the gluon and quark singlet over the full kinematic domain.…

高能物理 - 唯象学 · 物理学 2010-03-25 K. Golec-Biernat , J. Kwiecinski , A. D. Martin

In this paper we develop the DGLAP evolution for the system of produced gluons in the process of diffractive production in DIS, directly from the evolution equation in Color Glass Condensate approach. We are able to describe the available…

高能物理 - 唯象学 · 物理学 2018-09-26 Carlos Contreras , Eugene Levin , Rodrigo Meneses , Irina Potashnikova

The solution of DGLAP evolution equation for the twist-3 gluon operators is obtained in the Double Logarithmic Approximation of QCD perturbation theory. The method used for the solution is similar to the reggeon field theory. The…

高能物理 - 唯象学 · 物理学 2014-11-17 A. G. Shuvaev

The behavior of the gluon distribution of the proton in the low-$x$, low-$Q^2$ domain of deep inelastic electron-proton scattering (DIS) is being investigated. By considering two-gluon exchange as the dominant interaction in the low-$x$,…

高能物理 - 唯象学 · 物理学 2026-02-24 G. R. Boroun , M. Kuroda , Dieter Schildknecht

Using repeated Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we transform the coupled, integral-differential NLO singlet DGLAP equations first into coupled differential…

高能物理 - 唯象学 · 物理学 2015-03-17 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

We review recent progress in the development of an approach valid to any order which unifies the fixed-order DGLAP evolution of fragmentation functions at large x with soft-gluon logarithmic resummation at small x. At leading order, this…

高能物理 - 唯象学 · 物理学 2008-11-26 B. A. Kniehl

We address a long standing problem concerning the scale behaviour of parton densities in the low $x$, low $Q^2$ domain. We emphasize the important role of absorptive corrections at low $x$ and use knowledge of diffractive deep inelastic…

高能物理 - 唯象学 · 物理学 2019-01-30 M. R. Pelicer , E. G. de Oliveira , A. D. Martin , M. G. Ryskin

Determination of proton parton distribution functions is present under the dynamical parton model assumption by applying DGLAP equations with GLR-MQ-ZRS corrections. We provide two data sets, referred as IMParton16, which are from two…

高能物理 - 唯象学 · 物理学 2017-04-03 Rong Wang , Xurong Chen

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Gordon P. Ramsey