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Order-by-order Analytic Solution to the BFKL Equation

2014/07/30 by D. A. Ross, Ross, D. A., Agustin Sabio Vera +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1407.8057

23 pages, 1 figure

arxiv created 2014/07/30 · arxiv updated 2014/07/31

Abstract

We propose a regularization of the BFKL equation which allows for its solution in each order of perturbation theory by means of a sum over multiple poles. This sum can be presented in a rather simple formula for the Fourier transform in the azimuthal angle of the gluon Green function. In order to test our method, we have compared a few orders in the expansion to previous results by Del Duca, Dixon, Duhr and Pennington, finding agreement. Our formalism is general and can be applied to other, more complicated, kernels.

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