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In this paper we make predictions for nondiagonal parton distributions in a proton in the LLA. We calculate the DGLAP-type evolution kernels in the LLA, solve the nondiagonal GLAP evolution equations with a modified version of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. L. Frankfurt , A. Freund , V. Guzey , M. Strikman

We indicate that the random aperiodic oscillation of the gluon distributions in a modified Balisky--Fadin--Kuraev--Lipatov (BFKL) equation has positive Lyapunov exponents. This first example of chaos in QCD evolution equations, raises the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wei Zhu , Zhenqi Shen , Jianhong Ruan

We continue exploring the Born-Oppenheimer renormalization group generating evolution in frequency of physical observables. In this paper we study the evolution of the total cross section for dilute-dilute scattering retaining only eikonal…

High Energy Physics - Phenomenology · Physics 2024-12-25 Haowu Duan , Alex Kovner , Michael Lublinsky

We examine the effect of using an angular ordered evolution equation for the unintegrated gluon distribution at small x.

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Bottazzi

Color quadrupoles have been found to be important in the proper description of observables sensitive to the small-x regime in nuclei as well as in the operator definition of the Weizs\"acker-Williams gluon distribution. In this paper, we…

High Energy Physics - Phenomenology · Physics 2015-05-30 Fabio Dominguez , A. H. Mueller , Stéphane Munier , Bo-Wen Xiao

Closed expressions are presented for the contributions to QCD non-singlet forward evolution kernels $P(z)$ for the DGLAP equation and to $V(x,y)$ for non-forward (ER-BL) evolution equation for a certain class of diagrams which include…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. V. Mikhailov

The unified description of fragmentation function evolution from large to small x which was developed for the vacuum in previous publications is now generalized to the medium, and is studied for the case in which the complete contribution…

High Energy Physics - Phenomenology · Physics 2010-01-05 S. Albino , B. A. Kniehl , R. Perez-Ramos

We discuss the QCD evolution equations governing the high energy behavior of scattering amplitudes at the leading logarithmic level. This hierarchy of equations accommodates normal BFKL dynamics, Pomeron mergings and Pomeron splittings.…

High Energy Physics - Phenomenology · Physics 2011-01-25 D. N. Triantafyllopoulos

The results of a two-loop calculation in the Feynman gauge of both the DGLAP and the ERBL evolution kernels for transversely polarized distributions are presented. The structure of these evolution kernels is discussed in detail. In…

High Energy Physics - Phenomenology · Physics 2009-01-16 S. V. Mikhailov , A. A. Vladimirov

We present an ab-initio approach to compute the longitudinal dependence of the initial state in heavy-ion collisions by including small-x evolution of the nuclear gluon distributions. Extending the IP-Glasma model by including JIMWLK…

High Energy Physics - Phenomenology · Physics 2018-03-14 Björn Schenke , Sören Schlichting

In the framework of semihard QCD approach, with the emphasis on the BFKL evolution of gluon distributions, we calculate the differential cross sections of inclusive $D^{*\pm}$ mesons electroproduction at HERA and confront our results with…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. P. Baranov , N. P. Zotov

Renormalization group evolution equations describing the scale dependence of quantities in quantum chromodynamics (QCD) play a central role in the interpretation of experimental data. Arguably the most important evolution equations for…

High Energy Physics - Phenomenology · Physics 2022-10-20 Hao Chen , Max Jaarsma , Yibei Li , Ian Moult , Wouter J. Waalewijn , Hua Xing Zhu

Recently we obtained an evolution equation of gluon TMDs, which addresses a problem of unification of different kinematic regimes. It describes evolution in the whole range of Bjorken $x_B$ and the whole range of transverse momentum…

High Energy Physics - Phenomenology · Physics 2015-10-26 Andrey Tarasov

We revisit the evolution of generalised parton distributions (GPDs) in momentum space. We formulate the evolution kernels at one-loop in perturbative QCD (pQCD) in a form suitable for numerical implementation and that allows for an accurate…

High Energy Physics - Phenomenology · Physics 2022-10-12 Valerio Bertone , Hervé Dutrieux , Cédric Mezrag , José M. Morgado , Hervé Moutarde

We analize the renormalization group equations of supersymmetric QCD with N=1 for the evolution of parton distributions. For this purpose we develope a simple recursive algorithm in x-space to include both regular regions and supersymmetric…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano

We compute the gluon distribution in deep inelastic scattering at small x by solving numerically the angular ordering evolution equation. The leading order contribution, obtained by neglecting angular ordering, satisfies the BFKL equation.…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Bottazzi , G. Marchesini , G. P. Salam , M. Scorletti

I calculate the anomalous dimension governing the Q^2 evolution of the gluon (and structure functions) coming from the running coupling BFKL equation. This may be expressed in an exact analytic form, up to a small ultraviolet renormalon…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

We present an analytical method to solve the leading order (LO) Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations, which describe how parton distribution functions (PDFs) vary through different energy scales. Our…

High Energy Physics - Phenomenology · Physics 2023-04-21 Matthew Markovych , Asli Tandogan

The next-to-leading order (NLO) evolution of the parton distribution functions (PDF's) in QCD is the "industry standard" in the lepton-hadron and hadron-hadron collider data analysis. The standard NLO DGLAP evolution is formulated for…

High Energy Physics - Phenomenology · Physics 2009-10-02 S. Jadach , M. Skrzypek

We found solutions to the linear but with complicated kernel and non-homogeneous evolution equations for the cross sections of productions of $n$-cut Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomerons in the final states of high energy DIS on a…

High Energy Physics - Phenomenology · Physics 2026-05-29 Carlos Contreras , José Garrido