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An anomalous dimension for small x evolution

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arxiv hep-ph/0306156 v2 pith:QCZCFCT3 submitted 2003-06-17 hep-ph

An anomalous dimension for small x evolution

classification hep-ph
keywords evolutionsmallanomalouscouplingdimensioneffectsleadinglogarithms
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling. Surprisingly, we find that once running coupling effects are properly taken into account, the leading approximation is very close to standard perturbative evolution in the range of x accessible at HERA, in overall agreement with the data, with no need for phenomenological parameters to summarise subleading effects. We also show that further corrections due to subleading small x logarithms derived from the Fadin-Lipatov kernel can be kept under control, but that they involve substantial resummation ambiguities which limit their practical usefulness.

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  1. New results on small-x resummation for splitting functions

    hep-ph 2026-03 conditional novelty 8.0

    A closed-form all-order expression for the qg anomalous dimension, plus new all-order results for the LL gluon anomalous dimension and the finite qg/gg Green functions, derived and implemented in HELL 4.0.