Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
Abstract
We propose an algorithm to find a solution to an integro-differential equation of the DGLAP type for all the orders in the running coupling α with splitting functions given at a fixed order in α. Complex analysis is significantly used in the construction of the algorithm, we found a simpler way to calculate the involved integrals over contours in the complex planes than by any of the methods known at present.
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