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Small x behavior of parton distributions: a study of higher twist effects

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Abstract

We review the double asymptotic scaling phenomenon for the structure functions of the deepinelastic scattering process. We present an analytical parameterization of the contributions from the twist-two operators of the Wilson operator product expansion and power suppressed terms. Higher twist corrections to F 2 at small x are studied for the case of a flat initial condition for the twist-two QCD evolution in the next-to-leading order approximation. Higher twist terms are estimated using two different approaches: one motivated by BFKL and the other motivated by the renormalon formalism. The results of the latter approach are in very good agreement with deep inelastic scattering data from HERA.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russia

    A. Yu. Illarionov & A. V. Kotikov

  2. Departamento de Física de Partículas, Universidade de Santiago de Compostela, E-15706, Santiago de Compostela, Spain

    G. Parente

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  1. A. Yu. Illarionov
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  2. A. V. Kotikov
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  3. G. Parente
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Correspondence to A. Yu. Illarionov.

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Illarionov, A.Y., Kotikov, A.V. & Parente, G. Small x behavior of parton distributions: a study of higher twist effects. Phys. Part. Nuclei 39, 307–347 (2008). https://doi.org/10.1134/S1063779608030015

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