English
Related papers

Related papers: Nonlinear corrections to the DGLAP equations; look…

200 papers

We review a recently proposed framework for studying the approach to the unitarity limit in small-x processes in ep and pp scattering within the DGLAP approximation. Our formulation is based on the correspondence between the standard QCD…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. Strikman , C. Weiss

We present numerical studies of the leading non-linear corrections to the DGLAP evolution equations of parton distribution functions (PDFs) resulting from gluon recombination, which reduce the pace of evolution at small momentum fractions…

High Energy Physics - Phenomenology · Physics 2024-06-21 Pit Duwentäster , Vadim Guzey , Ilkka Helenius , Hannu Paukkunen

Parton distributions in the small $x$ region are numerically predicted by using a modified DGLAP equation with the GRV-like input distributions. We find that gluon recombination at twist-4 level obviously suppresses the rapid growth of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Wei Zhu , Jian-hong Ruan , Ji-feng Yang , Zhen-qi Shen

We propose a modified version of the Balitsky-Kovchegov (B-K) evolution equation, which includes the main NLO corrections. We use the result that the main NLO corrections to the BFKL kernel are the LO DGLAP corrections. We present a…

High Energy Physics - Phenomenology · Physics 2014-11-18 E. Gotsman , E. Levin , U. Maor , E. Naftali

We present a resummation of those double-logarithmically enhanced electroweak correction that arise in pp colliders because protons are not SU(2) singlets, by solving DGLAP equations in the full Standard Model. We then show how to match…

High Energy Physics - Phenomenology · Physics 2018-05-23 Christian W. Bauer , Nicolas Ferland , Bryan R. Webber

We revisited the first saturation correction to projectile in nucleus-nucleus collisions \cite{Chirilli:2015tea} within diagrammatic light cone perturbation theory (LCPT). To get an analytic expression for the saturation correction in…

High Energy Physics - Phenomenology · Physics 2022-05-30 Nahid Vasim

We develop a dipole model for HERA DIS data which incorporates the impact parameter distribution of the proton. The model describes the inclusive total $\gamma^*p$ cross-sections as well as the diffractive $J/\psi$ differential…

High Energy Physics - Phenomenology · Physics 2009-11-10 Henri Kowalski , Derek Teaney

Unitarization schemes can be reduced to non-linear equations which saturate at small $b$ the evolution of the elastic amplitude with $s$, and which mimic parton saturation in the non-perturbative regime. These equations enable us to study…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Selyugin , J. -R. Cudell

We investigate saturation effects in $ep$ scattering as well as in ultraperipheral $p$A and AA collisions at small $x$ with four variants of the impact parameter dependent color dipole model: with and without gluon saturation and with and…

High Energy Physics - Phenomenology · Physics 2020-02-12 Bharath Sambasivam , Tobias Toll , Thomas Ullrich

The small-$x$ evolution of protons is determined from numerical solutions of the JIMWLK equations, starting from an initial condition at moderate $x$ for a finite size proton. The resulting dipole amplitude is used to calculate the total…

High Energy Physics - Phenomenology · Physics 2018-08-22 Heikki Mäntysaari , Björn Schenke

We make predictions for the t-differential cross section of exclusive vector meson production (EVMP) in electron-ion collisions, with the aim of comparing DGLAP evolution to CGC models. In the current picture for the high-energy nucleus,…

Nuclear Theory · Physics 2015-10-28 G. S. Jackson , W. A. Horowitz

We present results from the first next-to-leading order (NLO) numerical analysis of forward hadron production in pA collisions in the small-x saturation formalism. Using parton distributions and fragmentation functions at NLO, as well as…

High Energy Physics - Phenomenology · Physics 2014-01-15 Anna M. Stasto , Bo-Wen Xiao , David Zaslavsky

We present non-linear corrections (NLC) to the distribution functions at low values of $x$ and $Q^{2}$ using the parametrization $F_{2}(x,Q^{2})$ and $F_{L}(x,Q^{2})$. We use a direct method to extract non-linear corrections to the ratio of…

High Energy Physics - Phenomenology · Physics 2021-10-11 G. R. Boroun , B. Rezaei

We derive the next order correction to the Dirac exchange energy for the free electron gas in a box with zero boundary conditions in the thermodynamic limit. The correction is of the order of the surface area of the box, and comes from…

Chemical Physics · Physics 2025-03-24 Thiago Carvalho Corso , Gero Friesecke

The dynamics of high partonic density QCD is presented considering, in the double logarithm approximation, the parton recombination mechanism built in the AGL formalism, developed including unitarity corrections for the nucleon as well for…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. B. Gay Ducati

This paper investigates the influence of the basis set on the GW self-energy correction in the full-potential linearized augmented-plane-wave (LAPW) approach and similar linearized all-electron methods. A systematic improvement is achieved…

Materials Science · Physics 2007-05-23 Christoph Friedrich , Arno Schindlmayr , Stefan Blügel , Takao Kotani

We present the effects of nonlinear corrections to the single differential cross section d\sigma/dQ^2 and the reduced cross section \sigma_r (x,Q^2) for the neutral current (NC) e-p scattering at the leading order (LO) and the…

High Energy Physics - Phenomenology · Physics 2022-05-18 S. Zarrin , S. Dadfar

The cross sections for a variety of diffractive processes in proton-nucleus scattering, associated with large gaps in rapidity, are calculated within an improved Glauber-Gribov theory, where the inelastic shadowing corrections are summed to…

Nuclear Theory · Physics 2014-11-20 M. Alvioli , C. Ciofi degli Atti , B. Z. Kopeliovich , I. K. Potashnikova , I. Schmidt

Exploiting recently obtained analytic solutions of classical Yang-Mills equations for higher order perturbations in the field of the dilute object (proton), we derive the complete first saturation correction to the single inclusive…

High Energy Physics - Phenomenology · Physics 2021-07-14 Ming Li , Vladimir V. Skokov

We compute total and differential elastic cross sections of high-energy hadronic collisions in the loop-loop correlation model that provides a unified description of hadron-hadron, photon-hadron, and photon-photon reactions. The impact…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arif I. Shoshi , Frank D. Steffen