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In this work we analyse the entanglement entropy in deep inelastic scattering off protons and nuclei. It is computed based on the formalism where the partonic state at small-x is maximally entangled with proton being constituted by large…

High Energy Physics - Phenomenology · Physics 2020-05-06 G. S. Ramos , M. V. T. Machado

It has been proposed that at small Bjorken $x$, or equivalently at high energy, hadrons represent maximally entangled states of quarks and gluons. This conjecture is in accord with experimental data from the electron-proton collider HERA at…

High Energy Physics - Phenomenology · Physics 2024-01-22 Martin Hentschinski , Dmitri E. Kharzeev , Krzysztof Kutak , Zhoudunming Tu

Using non-linear evolution equations of QCD, we compute the von Neumann entropy of the system of partons resolved by deep inelastic scattering at a given Bjorken $x$ and momentum transfer $q^2 = - Q^2$. We interpret the result as the…

High Energy Physics - Phenomenology · Physics 2017-06-21 Dmitri E. Kharzeev , Eugene M. Levin

We study the proposal by Kharzeev-Levin to determine entanglement entropy in Deep Inelastic Scattering (DIS) from parton distribution functions (PDFs) and to relate the former to the entropy of final state hadrons. We find several…

High Energy Physics - Phenomenology · Physics 2023-01-11 Martin Hentschinski , Krzysztof Kutak , Robert Straka

Deep inelastic scattering (DIS) samples a part of the wave function of a hadron in the vicinity of the light cone. Lipatov constructed a spin chain which describes the amplitude of DIS in leading logarithmic approximation. Kharzeev and…

Quantum Physics · Physics 2022-01-06 Kun Zhang , Kun Hao , Dmitri Kharzeev , Vladimir Korepin

The helicity dependent parton distributions describe the number density of partons with given longitudinal momentum x and given polarization in a hadron polarized longitudinally with respect to its motion. After the discovery, more than 70…

High Energy Physics - Phenomenology · Physics 2011-11-01 Sergio Scopetta , Vicente Vento

We investigate the proposal by Kharzeev and Levin of a maximally entangled proton wave function in Deep Inelastic Scattering at low $x$ and the proposed relation between parton number and final state hadron multiplicity. Contrary to the…

High Energy Physics - Phenomenology · Physics 2023-06-26 Martin Hentschinski , Krzysztof Kutak

Entanglement entropy in Deep Inelastic Scattering (DIS) from the DIS structure functions has emerged as a novel tool for probing observable quantities. The method proposed by Kharzeev-Levin to determine entanglement entropy in DIS from…

High Energy Physics - Phenomenology · Physics 2026-02-12 G. R. Boroun

Employing the representation of the experimental data on deep inelastic electron-proton scattering (DIS) in the color-dipole picture (CDP), we determine the gluon distribution of the proton at small Bjorken $x$. At sufficiently large…

High Energy Physics - Phenomenology · Physics 2025-12-02 G. R. Boroun , M. Kuroda , Dieter Schildknecht

Deep inelastic electron scattering (DIS) from nucleons at low values of the Bjorken variable $x \cong Q^2/W^2 \lsim ~ 0.1$ proceeds via fluctuations of the photon into quark-antiquark dipole states that subsequently interact with the gluon…

High Energy Physics - Phenomenology · Physics 2015-06-03 Dieter Schildknecht

We calculate the entanglement entropy of a model proton wave function in coordinate space by integrating out degrees of freedom outside a small circular region $\bar A$ of radius $L$, where $L$ is much smaller than the size of the proton.…

High Energy Physics - Phenomenology · Physics 2023-07-18 Adrian Dumitru , Alex Kovner , Vladimir V. Skokov

In the past year, polarized deep inelastic scattering experiments at CERN and SLAC have obtained structure function measurements off proton, neutron and deuteron targets at a level of precision never before achieved. The measurements can be…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. Gehrmann , W. J. Stirling

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering (DIS) experimental results. It enables us to improve the…

High Energy Physics - Phenomenology · Physics 2015-06-22 Claude Bourrely , Jacques Soffer

Differential dijet cross sections in diffractive deep-inelastic scattering are measured with the H1 detector at HERA using an integrated luminosity of 51.5 pb-1. The selected events are of the type ep --> eXY, where the system X contains at…

High Energy Physics - Experiment · Physics 2012-08-27 H1 Collaboration

Deeply inelastic scattering (DIS) is a powerful probe for investigating the QCD structure of hadronic matter and testing the standard model (SM). DIS can be described through QCD factorization theorems which separate contributions to the…

High Energy Physics - Phenomenology · Physics 2025-03-21 Henry Bloss , Brandon Kriesten , T. J. Hobbs

Recent diffractive structure function measurements in deep inelastic scattering (DIS) by the H1 and ZEUS experiments at HERA are reviewed. In neutral current (NC) DIS, precise measurements have been made of diffraction, $ep \to eXY$, the…

High Energy Physics - Phenomenology · Physics 2009-04-25 Laurent Schoeffel

The relation between the gluon density in a hadron and entanglement entropy can shed a new light on the high energy scattering behavior of hadrons. Using the holographic light-front QCD framework the growth above the classical geometric…

High Energy Physics - Phenomenology · Physics 2024-02-15 Hans Gunter Dosch , Guy F. de Teramond , Stanley J. Brodsky

The cross section for deep inelastic lepton-proton scattering (DIS) $\ell p \to \ell' X$ includes a diffractive deep inelastic (DDIS) contribution $\ell p \to \ell' p' X$, in which the proton remains intact with a large longitudinal…

High Energy Physics - Phenomenology · Physics 2021-12-06 Stanley J. Brodsky , Valery E. Lyubovitskij , Ivan Schmidt

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

The partons model reveals the dynamical structure of nucleons (protons and neutrons). Studies related to thermodynamic quantities of nucleons are interesting and topical questions. In this work, for the first time we apply Page's theory of…

High Energy Physics - Phenomenology · Physics 2022-12-14 Wei Kou , Xiaopeng Wang , Xurong Chen
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