A Semianalytical Method to Evolve Parton Distributions

Abstract

We present 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.

15 pages LaTeX + 6 figures; typos corrected, added reference, to appear in Phys. Lett. B

References in corpus (1)

• Numerical solution of Q^2 evolution equations for polarized structure functions

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