The quark part of the non-forward BFKL kernel and the ``bootstrap'' for the gluon Reggeization

Details The quark part of the non-forward BFKL kernel and the ``bootstrap'' for the gluon Reggeization The quark part of the non-forward BFKL kernel and the ``bootstrap'' for the gluon Reggeization

1998-12-21

arxiv.org/abs/hep-ph/9812456v2

Phys.Rev. D60 (1999) 074025

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, LaTeX, uses axodraw.sty; revised final comment; to appear on Phys. Rev. D

Scientific paper

10.1103/PhysRevD.60.074025

We calculate the quark part of the kernel of the generalized non-forward BFKL equation at non-zero momentum transfer $t$ in the next-to-leading logarithmic approximation. Along with the quark contribution to the gluon Regge trajectory, this part includes pieces coming from the quark-antiquark production and from the quark contribution to the radiative corrections in one-gluon production in the Reggeon-Reggeon collisions. The results obtained can be used for an arbitrary representation of the colour group in the $t-$channel. Using the results for the adjoint representation, we demonstrate explicitly the fulfillment of the ``bootstrap'' condition for the gluon Reggeization in the next-to-leading logarithmic approximation in the part concerning the quark contribution.

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