Exact solutions of the QCD evolution equations using Monte Carlo method

We present the exact and precise (~0.1%) numerical solution of the QCD evolution equations for the parton distributions in a wide range of $Q$ and $x$ using Monte Carlo (MC) method, which relies on the so-called Markovian algorithm. We point out certain advantages of such a method with respect to th...

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Detalles Bibliográficos
Autores principales: Jadach, Stanislaw, Skrzypek, M
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Phenomenology
Acceso en línea:http://cds.cern.ch/record/817747
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author Jadach, Stanislaw
Skrzypek, M
author_facet Jadach, Stanislaw
Skrzypek, M
author_sort Jadach, Stanislaw
collection CERN
description We present the exact and precise (~0.1%) numerical solution of the QCD evolution equations for the parton distributions in a wide range of $Q$ and $x$ using Monte Carlo (MC) method, which relies on the so-called Markovian algorithm. We point out certain advantages of such a method with respect to the existing non-MC methods. We also formulate a challenge of constructing non-Markovian MC algorithm for the evolution equations for the initial state QCD radiation with tagging the type and $x$ of the exiting parton. This seems to be within the reach of the presently available computer CPUs and the sophistication of the MC techniques.
id cern-817747
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-8177472019-09-30T06:29:59Zhttp://cds.cern.ch/record/817747engJadach, StanislawSkrzypek, MExact solutions of the QCD evolution equations using Monte Carlo methodParticle Physics - PhenomenologyWe present the exact and precise (~0.1%) numerical solution of the QCD evolution equations for the parton distributions in a wide range of $Q$ and $x$ using Monte Carlo (MC) method, which relies on the so-called Markovian algorithm. We point out certain advantages of such a method with respect to the existing non-MC methods. We also formulate a challenge of constructing non-Markovian MC algorithm for the evolution equations for the initial state QCD radiation with tagging the type and $x$ of the exiting parton. This seems to be within the reach of the presently available computer CPUs and the sophistication of the MC techniques.hep-ph/0312355HNINP-V-2004-01oai:cds.cern.ch:8177472003-12-26
spellingShingle Particle Physics - Phenomenology
Jadach, Stanislaw
Skrzypek, M
Exact solutions of the QCD evolution equations using Monte Carlo method
title Exact solutions of the QCD evolution equations using Monte Carlo method
title_full Exact solutions of the QCD evolution equations using Monte Carlo method
title_fullStr Exact solutions of the QCD evolution equations using Monte Carlo method
title_full_unstemmed Exact solutions of the QCD evolution equations using Monte Carlo method
title_short Exact solutions of the QCD evolution equations using Monte Carlo method
title_sort exact solutions of the qcd evolution equations using monte carlo method
topic Particle Physics - Phenomenology
url http://cds.cern.ch/record/817747
work_keys_str_mv AT jadachstanislaw exactsolutionsoftheqcdevolutionequationsusingmontecarlomethod
AT skrzypekm exactsolutionsoftheqcdevolutionequationsusingmontecarlomethod

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