The Unpolarized Gluon Anomalous Dimension at Small x

1998/06/15 by J. Blümlein, Blümlein, J., V. Ravindran +5 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9806368

6 pages Latex, 1 style file, 1 eps-figure

arxiv created 1998/06/15 · arxiv updated 2009/11/30

Abstract

We discuss the quantitative consequences of the resummation of the small-x contributions to the anomalous dimensions beyond next-to-leading order in alpha_s and up to next order in ln(1/x) (NLx) in a framework based on the renormalization group equations. We find large and negative effects leading to negative values for the \sf total splitting function P_gg(x,alpha_s) already for x \lsim 0.01 at Q² ≃ 20 GeV². Terms less singular than those under consideration turn out to be quantitatively as important and need to be included. We derive the effects of the conformal part of the NLx contributions to the anomalous dimensions and discuss the exponent omega describing the s^omega behavior of inclusive cross sections.

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