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Order-by-order Analytic Solution to the BFKL Equation

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.

preprint2014arXivOpen access
D. A. RossAgustin Sabio Vera
hep-th
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D. A. RossAgustin Sabio Vera

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