A reciprocal symmetry z↔1/z is identified in KNO scaling violations in pp collisions at 7-13 TeV, imposing P'(<n>)=-P(<n>)/<n> and enabling entanglement entropy extraction from the central multiplicity region.
Andreevet al.(H1), Measurement of charged particle multiplicity distributions in DIS at HERA and its implication to entanglement entropy of partons, Eur
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Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.
Reciprocal symmetry f_s(z)=f_s(1/z) implies local constraints on multiplicity distributions at n=<n> that hold to leading order in ATLAS data, plus a model-independent entanglement entropy expression S=ln<n>+1-½∫e^{-z}f_s²(z)dz+O(f_s³).
The generalized dipole model fits entropy and mean multiplicity data from proton-proton collisions significantly better than the standard 1D Mueller dipole model.
An approximate formula for the entropy of the negative binomial distribution is provided, with up to ~20% deviation from exact values for extreme parameters.
Including soft gluons in Monte Carlo generators for DIS aligns parton distributions with inclusive PDFs and makes entropy grow with decreasing x, indicating initial-state origin of the bulk entropy.
citing papers explorer
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Reciprocal symmetry and KNO scaling violation in proton-proton collisions
A reciprocal symmetry z↔1/z is identified in KNO scaling violations in pp collisions at 7-13 TeV, imposing P'(<n>)=-P(<n>)/<n> and enabling entanglement entropy extraction from the central multiplicity region.
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Multiplicity distributions in DIS for heavy nucleus
Homotopy solutions to BFKL Pomeron evolution equations in nuclear DIS produce multiplicity distributions of produced gluons.
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Higher-order local constraints from reciprocal symmetry and entanglement entropy of charged-particle multiplicity distributions in $pp$ collisions
Reciprocal symmetry f_s(z)=f_s(1/z) implies local constraints on multiplicity distributions at n=<n> that hold to leading order in ATLAS data, plus a model-independent entanglement entropy expression S=ln<n>+1-½∫e^{-z}f_s²(z)dz+O(f_s³).
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Entropy and mean multiplicity from dipole models in the high energy limit
The generalized dipole model fits entropy and mean multiplicity data from proton-proton collisions significantly better than the standard 1D Mueller dipole model.
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An approximate formula for the entropy of the negative binomial distribution
An approximate formula for the entropy of the negative binomial distribution is provided, with up to ~20% deviation from exact values for extreme parameters.
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Entanglement entropy, Monte Carlo event generators, and soft gluons DIScovery
Including soft gluons in Monte Carlo generators for DIS aligns parton distributions with inclusive PDFs and makes entropy grow with decreasing x, indicating initial-state origin of the bulk entropy.