Properties of the Scale Invariant $O(g^4)$ Lipatov Kernel

Details Properties of the Scale Invariant $O(g^4)$ Lipatov Kernel Properties of the Scale Invariant $O(g^4)$ Lipatov Kernel

1995-03-10

arxiv.org/abs/hep-ph/9503294v2

Nucl.Phys. B451 (1995) 231-264

Physics

High Energy Physics

High Energy Physics - Phenomenology

41 pages in latex, 16 figs. in a uu-encoded ps-file

Scientific paper

10.1016/0550-3213(95)00353-T

We study the scale-invariant $O(g^4)$ kernel which appears as an infra-red contribution in the BFKL evolution equation and is constructed via multiparticle $t$-channel unitarity. We detail the variety of Ward identity constraints and infra-red cancellations that characterize its infrared behaviour. We give an analytic form for the full non-forward kernel. For the forward kernel controlling parton evolution at small-x, we give an impact parameter representation, derive the eigenvalue spectrum, and demonstrate a holomorphic factorisation property related to conformal invariance. The results show that, at next-to-leading-order, the transverse momentum infra-red region may produce a strong reduction of the BFKL small-x behavior.

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