The shape of the proton at high energies

Abstract

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 including effects of confinement by screening the long range Coulomb field of the color charges, the evolution is unitary. The large-x structure of the proton, characterized by the position of three valence quarks, retains an effect on the proton shape down to very small values of x. We determine the dipole scattering amplitude as a function of impact parameter and dipole size and extract the rapidity evolution of the saturation scale and the proton radius.

8 pages, 6 figures

References in corpus (9)

• The Color Glass Condensate
• Observation of long-range near-side angular correlations in proton-lead collisions at the LHC
• The ridge in proton-proton collisions at the LHC
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• CGC predictions for p+Pb collisions at the LHC
• Eccentric protons? Sensitivity of flow to system size and shape in p+p, p+Pb and Pb+Pb collisions
• Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
• On the running coupling in the JIMWLK equation
• On parton number fluctuations at various stages of the rapidity evolution

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• Helicity-dependent generalization of the JIMWLK evolution
• Anisotropy of the semi-classical gluon field of a large nucleus at high energy
• Bayesian inference of the fluctuating proton shape
• Azimuthal harmonics of color fields in a high energy nucleus
• Accessing the gluonic structure of light nuclei at the Electron Ion Collider
• Rapidity dependence of initial state geometry and momentum correlations in p+Pb collisions
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• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• Gluon Saturation Effects in Exclusive Heavy Vector Meson Photoproduction
• Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Energy-momentum tensor of the dilute (3+1)D Glasma
• Global Bayesian Analysis of $\mathrm{J}/\psi$ Photoproduction on Proton and Lead Targets
• Initial conditions of bulk matter in ultrarelativistic nuclear collisions
• Parton evolution time dependent transverse shape asymmetry in peripheral Pb-Pb and p-Pb collisions at 5.02 TeV
• Determination of the HERA coherent diffractive $J/\psi$ production cross section via artificial neural network
• Energy dependence of the proton geometry in exclusive vector meson production