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

D. Müller
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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 $ϕ^3_{[6]}$-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 $x_{Bj}$.

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D. Müller. 1994-06-09. The Parton Distribution Functions in the Limit $x_{Bj}\to 1$. https://arxiv.org/abs/hep-ph/9406260

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