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A Semianalytical Method to Solve Altarelli-Parisi Evolution Equations

1999/09/08 by Pietro Santorelli, Egidio Scrimieri
Physics and Astronomy · #hep-ph

paper · pdf

published as Published in JHEP Conf.Proc. corfu98/023 · 7 pages LaTeX + 6 figures, uses JHEP.cls (included); based on talk given by the first author at the 6th Hellenic School and Workshop on Elementary Particle Physics, Corfu, Greece, September 1998

arxiv created 1999/09/08 · arxiv updated 2009/11/30

Abstract

We discuss a new method to solve in a semianalytical way the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NLO order in the x-space. The method allows to construct an evolution operator expressed in form of a rapidly convergent series of matrices, depending only on the splitting functions. This operator, acting on a generic initial distribution, provides a very accurate solution in a short computer time (only a few hundredth of second). As an example, we apply the method, useful to solve a wide class of systems of integrodifferential equations, to the polarized parton distributions

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