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Evidence for the maximally entangled low $x$ proton in Deep Inelastic Scattering from H1 data

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arxiv 2110.06156 v4 pith:UPGJFHWK submitted 2021-10-12 hep-ph hep-exquant-ph

Martin Hentschinski , Krzysztof Kutak This is my paper
classification hep-phhep-exquant-ph
keywords datadistributiondeepentangledfunctionsgluoninelasticmaximally
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 original formulation we determine partonic entropy from the sum of gluon and quark distribution functions at low $x$, which we obtain from an unintegrated gluon distribution subject to next-to-leading order Balitsky-Fadin-Kuraev-Lipatov evolution. We find for this framework very good agreement with H1 data. We furthermore provide a comparison based on NNPDF parton distribution functions at both next-to-next-to-leading order and next-to-next-to-leading with small $x$ resummation, where the latter provides an acceptable description of data.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Deep inelastic scattering as a probe of entanglement: the complete QCD dipole cascade

    hep-ph 2026-07 conditional novelty 6.0 of 10

    The Shannon entropy of dipole multiplicities from the full Levin–Lublinsky equation in DIS reproduces the H1 hadron entropy, growing linearly with ln(1/x) and described by S = ln(2/3⟨n⟩) + 0.85.

  2. Higher-order local constraints from reciprocal symmetry and entanglement entropy of charged-particle multiplicity distributions in $pp$ collisions

    hep-ph 2026-05 conditional novelty 5.0 of 10

    The reciprocal symmetry of the KNO-violating term yields the new constraint δ₃=0 at n=⟨n⟩ (untestable at present precision), fails globally at 13 TeV, and the derived entropy S=ln⟨n⟩+I₀−½∫e^{-z}f_s²dz matches ATLAS da...

  3. Small $x$ behavior in QCD from maximal entanglement and conformal invariance

    hep-ph 2025-08 conditional novelty 4.0 of 10

    Bethe Ansatz finite-size corrections to Lipatov's spin chain yield c=1, which fixes the small-x gluon scaling to x^{-1/3}.

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