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High Energy Physics - Phenomenology

arXiv:hep-ph/9807572 (hep-ph)
[Submitted on 31 Jul 1998 (v1), last revised 25 May 1999 (this version, v2)]

Title:A Semianalytical Method to Evolve Parton Distributions

Authors:Pietro Santorelli, Egidio Scrimieri
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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.
Comments: 15 pages LaTeX + 6 figures; typos corrected, added reference, to appear in Phys. Lett. B
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: Bari-TH/98-308
Cite as: arXiv:hep-ph/9807572
  (or arXiv:hep-ph/9807572v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/9807572
Journal reference: Phys.Lett.B459:599-606,1999
Related DOI: https://doi.org/10.1016/S0370-2693%2899%2900698-X

Submission history

From: Pietro Santorelli [view email]
[v1] Fri, 31 Jul 1998 19:22:17 UTC (76 KB)
[v2] Tue, 25 May 1999 13:00:30 UTC (74 KB)
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