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

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

1994-11-24

arxiv.org/abs/hep-ph/9411379v2

Phys.Rev.Lett. 74 (1995) 4980-4983

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages in latex, 3 ps figs

Scientific paper

10.1103/PhysRevLett.74.4980

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.

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