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$k_{\perp}$-Factorization and Perturbative Invariants at Small $x$

Stefano Catani
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Abstract

I review the basic idea of $k_{\perp}$-factorization and its relation to collinear factorization. Theoretical results in resummed perturbation theory are summarized and the example of the heavy-flavour structure functions is explicitly considered. Using these results one can investigate the small-$x$ behaviour of quantities that are independent of the non-perturbative parton densities. In particular, one can introduce physical anomalous dimensions that relate the scaling violations in different hadronic observables.

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Stefano Catani. 1996-08-13. $k_{\perp}$-Factorization and Perturbative Invariants at Small $x$. https://arxiv.org/abs/hep-ph/9608310

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