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arXiv · 1407.8057

Order-by-order Analytic Solution to the BFKL Equation

D. A. Ross·Agustin Sabio Vera
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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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D. A. Ross, Agustin Sabio Vera. 2014-07-30. Order-by-order Analytic Solution to the BFKL Equation. https://arxiv.org/abs/1407.8057

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