Pomeron loops in zero transverse dimensions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, 4 figures

Scientific paper

10.1103/PhysRevD.73.094014

We analyze a toy model which has a structure similar to that of the recently found QCD evolution equations, but without transverse dimensions. We develop two different but equivalent methods in order to compute the leading-order and next-to-leading order Pomeron loop diagrams. In addition to the leading-order result which has been derived from Mueller's toy model~\cite% {Mueller:1994gb}, we can also calculate the next-to-leading order contribution which provides the $(\alpha_{s}^{2}\alpha Y)$ correction. We interpret this result and discuss its possible implications for the four-dimensional QCD evolution.

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