The Bootstrap Conditions for the Gluon Reggeization

Details The Bootstrap Conditions for the Gluon Reggeization The Bootstrap Conditions for the Gluon Reggeization

2003-07-05

arxiv.org/abs/hep-ph/0307076v2

Nucl.Phys. B672 (2003) 329-356

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, LaTex, axodraw.sty, modified Budker INP preprint number

Scientific paper

10.1016/j.nuclphysb.2003.08.034

Compatibility of gluon Reggeization with s-channel unitarity requires the vertices of the Reggeon interactions to satisfy a series of bootstrap conditions. In order to derive, in the next-to-leading order (NLO), conditions related to the gluon production amplitudes, we calculate the s-channel discontinuities of these amplitudes and compare them with those required by the Reggeization. It turns out that these conditions include the so called strong bootstrap conditions for the kernel and for the impact factors of scattering particles, which were proposed earlier without derivation, and recently were proved to be satisfied. Besides this, there is a new bootstrap condition, which relates a number of Reggeon vertices and the gluon trajectory.

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