No Froissart Bound from Gluon Saturation

Details No Froissart Bound from Gluon Saturation No Froissart Bound from Gluon Saturation

2002-07-28

arxiv.org/abs/hep-ph/0207335v2

Phys.Lett. B551 (2003) 311-316

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages LaTex, final version to be published in Phys. Lett. B, Note added referring to recent controversy

Scientific paper

10.1016/S0370-2693(02)02907-6

In the previous work hep-ph/0112140, hep-ph/0204277, we showed that while the nonlinear QCD evolution equation of Balitsky and Kovchegov (BK) leads to saturation of the scattering amplitude locally in impact parameter space, it does not unitarize the total cross section. This result was recently challenged by Ferreiro, Iancu, Itakura and McLerran (FIIM) who claim that the dipole-hadron cross section computed from the BK equation saturates the Froissart bound. In this comment, we point to a fundamental error in the argument of FIIM which invalidates their conclusion. We show that if the total cross section violates unitarity for a coloured scattering probe, it does so also for a colourless scattering probe.

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