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Fundamental to much work in small-x QCD is a k_T-factorization formula.Normal expectations in theoretical physics are that when such a result is used,citations should be given to where the formula is justified. We demonstrate byexamining the chains of citations back from current work that violations ofthis expectation are widespread, to the extent that following the citationchains, we do not find a proof or other justification of the formula. Thisshows a substantial deficit in the reproducibility of a phenomenologicallyimportant area of research. Since the published formulae differ innormalization, we test them by making a derivation in a simple model that obeysthe assumptions that are stated in the literature to be the basis ofk_T-factorization in the small-$x$ regime. We find that we disagree with two ofthe standard normalizations.

Inability to find justification of a $k_T$-factorization formula by following chains of citations