The Parton Distribution Functions in the Limit $x_{Bj}\to 1$

D. Müller

The Parton Distribution Functions in the Limit $x_{Bj}\to 1$

High Energy Physics - Phenomenology 2007-05-23 v1

Authors: D. Müller

Abstract

We review both the counting rule and the influence of the evolution in $Q^2$ for the large $x_{Bj}$ behaviour of the valance quark distribution functions. Based on a factorization procedure we present a more general perturbative treatment to compute this behaviour. A complete analysis is performed in the scalar $\phi^3_{[6]}$ -theory for the parton distribution function of the ``meson'', which shows that logarithmical corrections arise from the distribution amplitude and that the reference momentum square $Q_0^2$ is fixed by $x_{Bj}$ .

Keywords

parton distribution functions large x counting rules QCD evolution factorization phi^3 theory

Cite

@article{arxiv.hep-ph/9406260,
  title  = {The Parton Distribution Functions in the Limit $x_{Bj}\to 1$},
  author = {D. Müller},
  journal= {arXiv preprint arXiv:hep-ph/9406260},
  year   = {2007}
}

Comments

Presented at the Leipzig Workshop on `Quantum Field Theoretical Aspects of High Energy Physics', Bad Frankenhausen, Germany, Sept. 20-24, 1993, 9 pages LaTeX (2 LaTeX picture included), SLAC-PUB-6496

The Parton Distribution Functions in the Limit $x_{Bj}\to 1$

Abstract

Keywords

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