Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes

A. Vogt; C. H. Kom; N. A. Lo Presti; G. Soar; A. A. Almasy; S. Moch; J. A. M. Vermaseren; K. Yeats

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arXiv · 1212.2932

Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes

A. Vogt·C. H. Kom·N. A. Lo Presti·G. Soar·A. A. Almasy·S. Moch·J. A. M. Vermaseren·K. Yeats

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Abstract

Over the past few years considerable progress has been made on the resummation of double-logarithmically enhanced threshold (large-x) and high-energy (small-x) higher-order contributions to the splitting functions for parton and fragmentation distributions and to the coefficient functions for inclusive deep-inelastic scattering and semi-inclusive e^+e^- annihilation. We present an overview of the methods which allow, in many cases, to derive the coefficients of the highest three logarithms at all orders in the strong coupling from next-to-next-to-leading order results in massless perturbative QCD. Some representative analytical and numerical results are shown, and the present limitations of these resummations are discussed.

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A. Vogt, C. H. Kom, N. A. Lo Presti, G. Soar, A. A. Almasy, S. Moch, J. A. M. Vermaseren, K. Yeats. 2012-12-12. Progress on double-logarithmic large-x and small-x resummations for (semi-)inclusive hard processes. https://arxiv.org/abs/1212.2932

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