1 research outputs found
Properties of the Scale Invariant Lipatov Kernel
We study the scale-invariant kernel which appears as an infra-red
contribution in the BFKL evolution equation and is constructed via
multiparticle -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.Comment: 41 pages in latex, 16 figs. in a uu-encoded ps-fil