The Spectrum of the O(g^4) scale-invariant Lipatov Kernel

Abstract

The scale-invariant $O(g^4)$ Lipatov kernel has been determined by t-channel unitarity. The forward kernel responsible for parton evolution is evaluated and its eigenvalue spectrum determined. In addition to a logarithmic modification of the $O(g^2)$ kernel a distinct new kinematic component appears. This component is infra-red finite without regularization and has the holomorphic factorization property necessary for conformal invariance. It gives a reduction (of ~$\sim 65{\alpha }_s^2/{\pi }^2\sim 0.15$) in the power growth of parton distributions at small-x.

11 pages in latex, 3 ps figs

References in corpus (1)

• The $O(g^4)$ Lipatov Kernels

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