k-Factorization and Small-x Anomalous Dimensions

Details k-Factorization and Small-x Anomalous Dimensions k-Factorization and Small-x Anomalous Dimensions

1997-01-16

arxiv.org/abs/hep-ph/9701303v1

Nucl.Phys. B496 (1997) 305-336; Erratum-ibid. B607 (2001) 431-432

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex2e, 44 pages including 7 PostScript figures

Scientific paper

10.1016/S0550-3213(97)00261-7

We investigate the consistency requirements of the next-to leading BFKL equation with the renormalization group, with particular emphasis on running coupling effects and NL anomalous dimensions. We show that, despite some model dependence of the bare hard Pomeron, such consistency holds at leading twist level, provided the effective variable $\alpha_s(t) log(1/x)$ is not too large. We give a unified view of resummation formulas for coefficient functions and anomalous dimensions in the Q_0-scheme and we discuss in detail the new one for the $q\bar{q}$ contributions to the gluon channel.

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