A modified BFKL equation with unitarity

Details A modified BFKL equation with unitarity A modified BFKL equation with unitarity

1997-09-04

arxiv.org/abs/hep-ph/9709236v2

Phys.Lett. B429 (1998) 121-126

Physics

High Energy Physics

High Energy Physics - Phenomenology

Conclusion is revised. One figure is added

Scientific paper

10.1016/S0370-2693(98)00433-X

We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which satisfies the unitarity bound. The idea is to relax the strong rapidity ordering and to restrict phase space for real gluon emissions in the evaluation of the BFKL kernel. It is found that the gluon distribution function rises as a power of the Bjorken variable $x$, and then saturates at $x\to 0$. We estimate that the saturation begins to occur for $x< 10^{-4}$.

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