A semi-analytical x-space solution for parton evolution — Application to non-singlet and singlet DGLAP equation
Juliane Haug,
Oliver Schüle,
Fabian Wunder
Abstract:We present a novel semi-analytical method for parton evolution. It is based on constructing a family of analytic functions spanning x-space which is closed under the considered evolution equation. Using these functions as a basis, the original integro-differential evolution equation transforms into a system of coupled ordinary differential equations, which can be solved numerically by restriction to a suitably chosen finite subsystem. The evolved distributions are obtained as analytic functions in x with numer… Show more
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