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Systematics of geometric scaling

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arxiv hep-ph/0610435 v1 pith:YKLZZF6E submitted 2006-10-31 hep-ph

classification hep-ph
keywords scalinglambdaasymptoticconstantcouplingdataequationgeometric
verification ladder T0 review T1 audit T2 compute T3 formal
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Using all available data on the deep-inelastic cross-sections at HERA at x<0.01, we look for geometric scaling of the form \sigma^{\gamma^*p}(\tau) where the scaling variable \tau behaves alternatively like \log(Q^2)-\lambda Y, as in the original definition, or \log(Q^2)-\lambda \sqrt{Y}, which is suggested by the asymptotic properties of the Balitsky-Kovchegov (BK) equation with running QCD coupling constant. A ``Quality Factor'' (QF) is defined, quantifying the phenomenological validity of the scaling and the uncertainty on the intercept \lambda. Both choices have a good QF, showing that the second choice is as valid as the first one, predicted for fixed coupling constant. A comparison between the QCD asymptotic predictions and data is made and the QF analysis shows that the agreement can be reached, provided going beyond leading logarithmic accuracy for the BK equation.

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  1. Precise determination of pomeron intercept via scaling entropy analysis

    hep-ph 2024-12 conditional novelty 5.0 of 10

    Measuring the entropy of final-state hadron multiplicities in H1 data gives a Pomeron intercept of 0.322 ± 0.007, consistent with the value from inclusive DIS cross-section scaling.

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