Higher-Order Corrections to BFKL Evolution from $t$-Channel Unitarity

Details Higher-Order Corrections to BFKL Evolution from $t$-Channel Unitarity Higher-Order Corrections to BFKL Evolution from $t$-Channel Unitarity

1995-10-18

arxiv.org/abs/hep-ph/9510331v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages in latex, 2 ps fig. Presented at the VIth International Conference on Elastic and Diffractive Scattering ``Frontiers i

Scientific paper

Using reggeon diagrams as a partial implementation of $t$-channel unitarity, $O(g^4)$ corrections to the BFKL evolution equation have been obtained. We describe the spectrum and holomorphic factorization properties of the resulting scale-invariant kernel. For a gauge theory, $t$-channel unitarity can be studied directly in the complex $j$-plane by implementing Ward identity constraints together with the group structure of reggeon interactions. We discuss how both the $O(g^2)$ BFKL kernel and the $O(g^4)$ corrections can then be derived.

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