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Using repeated Laplace transform, We find an analytical solution for DGLAP evolution equations for extracting the pion, kaon and proton Fragmentation Functions (FFs) at NLO approximation. We also study the symmetry breaking of the sea…

High Energy Physics - Phenomenology · Physics 2025-12-12 M. Zareei , F. Taghavi-Shahri , S. Atashbar Tehrani , M. Sarbishei

The NLO evolution equations for quadrupole and double dipole operators have been obtained within the high energy operator expansion method. The corresponding quasi-conformal evolution equations for the composite operators were constructed.

High Energy Physics - Phenomenology · Physics 2020-01-31 A. V. Grabovsky

Aspects of the QCD parton densities are briefly reviewed, drawing some parallels to the density matrix formulation of quantum mechanics, exemplified by Wigner functions. We elaborate on the solution of their evolution equations using…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Cafarella , Claudio Coriano' , Marco Guzzi

We study the small-$x$ behaviour of the polarized photon structure function $F_3^{\ga}$, measuring the gluon transversity distribution, in the leading logarithmic approximation of perturbative QCD. There are two contributions, both arising…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Ermolaev , R. Kirschner , L. Szymanowski

The DGLAP, BFKL, modified DGLAP and modified BFKL equations are constructed in a unified partonic framework. The antishadowing effect in the recombination process is emphasized, which leads to two different small $x$ behaviors of gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wei Zhu , Zhenqi Shen , Jifeng Yang , Jianhong Ruan

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

We discuss the interplay of low-x physics and QCD scaling violations by extending the unified approach describing inclusive structure functions and diffractive production in $\gamma* p$ interactions proposed in previous papers, to large…

High Energy Physics - Phenomenology · Physics 2013-05-29 Nestor Armesto , Alexei B. Kaidalov , Carlos A. Salgado , Konrad Tywoniuk

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…

High Energy Physics - Phenomenology · Physics 2018-02-14 F. Hautmann , H. Jung , A. Lelek , V. Radescu , R. Zlebcik

We review small $x$ contributions to perturbative evolution equations for parton distributions, and their resummation. We emphasize in particular the resummation technique recently developed in order to deal with the apparent instability of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guido Altarelli , Richard D. Ball , Stefano Forte

We present nonlinear (NL) and higher twist (HT) corrections to the color dipole model (CDM) bounds at low values of $x$ and $Q^{2}$ using the parameterization method. Consistency between the bounds at this region describe that a transition…

High Energy Physics - Phenomenology · Physics 2021-10-12 G. R. Boroun , B. Rezaei

We apply a previously developed scheme to consistently include the improved saturation model for the unintegrated gluon distribution (UGD) in order to evaluate, in the framework of $k_{t}$ factorization, at small $x$ at the next-to-leading…

High Energy Physics - Phenomenology · Physics 2023-08-29 G. R. Boroun

Dominant present path for determination of quarks and gluon distribution functions from data is based on pre-assumed form of parameters. Here, an alternative direct, or non-parametric method is spelled out. As the main task, least square…

High Energy Physics - Phenomenology · Physics 2013-09-12 M. Goshtasbpour , M. Zandi

An explicit model for the proton structure function interpolating between low- (VMD and Regge behavior)and high-$Q^2$ (GLAP evolution) is suggested. The model is fitted to the experimental data in a wide range of the kinematical variables…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Desgrolard , L. Jenkovszky , F. Paccanoni

The pole extrapolation method is applied to the semi-inclusive inelastic electron scattering off the deuteron with tagged spectator protons to extract the high-x structure function of the neutron. This approach is based on the extrapolation…

High Energy Physics - Phenomenology · Physics 2016-06-10 Wim Cosyn , Misak M. Sargsian

Explicit expressions for the non-singlet and singlet structure functions g_1 in the small-x region are obtained. They include the total resummation of the double- and single- logarithms of x and account for the running QCD coupling effects.…

High Energy Physics - Phenomenology · Physics 2016-12-07 B. I. Ermolaev , M. Greco , S. I. Troyan

It is shown that in the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants, considering the Bessel-inspired behavior of the structure functions F2 and the derivative d…

High Energy Physics - Phenomenology · Physics 2015-06-18 A. V. Kotikov , B. G. Shaikhatdenov

Parton branching solutions of QCD evolution equations have recently been studied to construct both collinear and transverse momentum dependent (TMD) parton distributions. In this formalism, a soft-gluon resolution scale is introduced to…

High Energy Physics - Phenomenology · Physics 2022-07-28 S. Sadeghi Barzani

We present first calculations of the fluctuating gluon distribution in a proton as a function of impact parameter and rapidity employing the functional Langevin form of the JIMWLK renormalization group equation. We demonstrate that when…

High Energy Physics - Phenomenology · Physics 2015-06-22 Soeren Schlichting , Bjoern Schenke

The Standard Approach (SA) for description of the structure function g_1 combines the DGLAP evolution equations and Standard Fits for the initial parton densities. The DGLAP equations describe the region of large Q^2 and large x, so there…

High Energy Physics - Phenomenology · Physics 2007-07-13 B. I. Ermolaev , M. Greco , S. I. Troyan

The longitudinal structure function for nucleons and nuclei is considered at fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$. This is done using the expansion method and color dipole model in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2025-10-21 G. R. Boroun