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The goal of this study is to determine a set of diffractive parton distribution function (diffractive PDFs) from a QCD analysis of all available and up-to-date diffractive deep inelastic scattering (diffractive DIS) data sets from HERA $ep$…

High Energy Physics - Phenomenology · Physics 2019-04-02 Hamzeh Khanpour

We explore the evolution of the Deep Inelastic Scattering (DIS) entropy, defined as $ S(x,\mu^2) \simeq \ln[xg(x,\mu^2)]$ at small Bjorken variable $x$, where $\mu$ is the observable scale and the gluon distribution $xg(x,\mu^2)$ is derived…

High Energy Physics - Phenomenology · Physics 2026-01-09 G. R. Boroun , Phuoc Ha

Quantum scientific computing is to solve engineering and science problems such as simulation and optimization on quantum computers. Solving ordinary and partial differential equations (PDEs) is essential in simulations. However, existing…

Numerical Analysis · Mathematics 2026-04-28 Eunsik Choi , Jungin E. Kim , Xueling Lu , Yan Wang

The small-$x_B$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

High Energy Physics - Phenomenology · Physics 2014-11-18 Giovanni A. Chirilli

We study the deep inelastic scattering (DIS) of a proton-targeted lepton in the presence of gluon condensation using gauge/gravity duality. We use a modified $AdS_5$ background where the modification parameter $c$ corresponds to the gluon…

High Energy Physics - Phenomenology · Physics 2022-12-06 Sara Tahery , Xiaopeng Wang , Xurong Chen

Efficiently computable stability and performance analysis of nonlinear systems becomes increasingly more important in practical applications. Dissipativity can express stability and performance jointly, but existing results are limited to…

Systems and Control · Electrical Eng. & Systems 2023-08-24 Chris Verhoek , Patrick J. W. Koelewijn , Sofie Haesaert , Roland Tóth

Hydrogel diffusiophoresis is the deformation of a hydrogel due to a solute gradient that leads to a gradient of pairwise interactions between the solute particles and the hydrogel polymers to trigger osmotic flux. Unlike typical osmosis, it…

Soft Condensed Matter · Physics 2026-03-05 Chinmay Katke , C. Nadir Kaplan

A new scheme of the perturbative analysis of the nonlinear HS equations is developed giving directly the final result for the successive application of the homotopy integrations which appear in the standard approach. It drastically…

High Energy Physics - Theory · Physics 2016-08-09 V. E. Didenko , N. G. Misuna , M. A. Vasiliev

Inferring seabed topography from wave height observations is fundamental to tsunami hazard assessment, coastal planning, and large scale ocean circulation modeling. Classical inversion models typically rely on direct sensing or optimization…

Atmospheric and Oceanic Physics · Physics 2025-09-03 Aoming Liang , Qi Liu , Weicheng Cui

We calculate next to leading order QCD corrections to semi-inclusive polarized deep inelastic scattering and $e^+e^-$ annihilation cross sections for processes where the polarization of the identified final-state hadron can also be…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. de Florian , R. Sassot

The extension of interpolation-grid frameworks for perturbative QCD calculations at next-to-next-to-leading order (NNLO) is presented for deep inelastic scattering (DIS) processes. A fast and flexible evaluation of higher-order predictions…

High Energy Physics - Phenomenology · Physics 2021-08-30 D. Britzger , J. Currie , A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , C. Gwenlan , A. Huss , T. Morgan , J. Niehues , J. Pires , K. Rabbertz , M. R. Sutton

This talk is a rather sceptical review of our knowledge and understanding of deep inelastic scattering at low x (high energy). We show that the well known success of the DGLAP evolution equations in describing of experimental HERA data…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eugene Levin

We study the transverse-momentum distribution of hadrons produced in semi-inclusive deep-inelastic scattering. We consider cross sections for various combinations of the polarizations of the initial lepton and nucleon or the produced…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yuji Koike , Junji Nagashima , Werner Vogelsang

We explore the consequences for diffractive production, gamma* p --> X p, in deep inelastic scattering at low values of x\sim Q^2/W^2 <<1 that follow from our recent representation of the total photoabsorption cross section, sigma_{gamma*…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Kuroda , D. Schildknecht

The present paper concerns a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main results consist of corrector results (i.e., strong convergences of…

Analysis of PDEs · Mathematics 2022-10-26 Tomoyuki Oka

The modifications induced in the calculation of the cross section of the diffractive process gamma gamma -> J/Psi J/Psi when the gluon propagator is changed are analyzed. Instead of the usual perturbative gluon propagator, alternative forms…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. B. Gay Ducati , Werner K. Sauter

We calculate the one-loop corrections to dihadron production in Deep Inelastic Scattering (DIS) at small x using the Color Glass Condensate formalism. We show that all UV and soft singularities cancel while the collinear divergences are…

High Energy Physics - Phenomenology · Physics 2022-10-12 Filip Bergabo , Jamal Jalilian-Marian

The induction motor behaviour is represented by a fifth order differential equation model. Addition of a torque correction factor to the model accurately reproduces the transient torques and instantaneous real and reactive power flows of…

Numerical Analysis · Mathematics 2013-10-11 Shahid S. Siddiqi , Muzammal Iftikhar

This paper concerns an inverse elastic scattering problem which is to determine the location and the shape of a rigid obstacle from the phased or phaseless far-field data for a single incident plane wave. By introducing the Helmholtz…

Analysis of PDEs · Mathematics 2018-12-03 Heping Dong , Jun Lai , Peijun Li

We propose certain approach of solving two-dimensional non-stationary and stationary advection-diffusion-reaction boundary value problems through their reduction to the set of corresponding one-dimensional problems. This method leverages…

Numerical Analysis · Mathematics 2024-11-19 R. Drebotiy , H. Shynkarenko
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