Published January 2008 | Version v1
Journal article Metadata-only

Solving QCD Evolution Equations in Rapidity Space with Markovian Monte Carlo

Creators

  • 1. Institute of Physics, University of Rzeszow, Rejtana 16A, 35-959 Rzeszow (Poland)
  • 2. The H. Niewodniczanki Institute of Nuclear Physics, PAN, Radzikowskiego 152, 31-342 Cracow (Poland)
  • 3. CERN, PH Department, CH-1211 Geneva 23 (European Organization for Nuclear Research (CERN))
  • 4. Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Cracow (Poland)
  • 5. The H. Niewodniczanski Institute of Nuclear Physics, PAN, Radzikowskiego 152, 31-342 Cracow (Poland)

Description

This work covers methodology of solving QCD evolution equation of the parton distribution using Markovian Monte Carlo (MMC) algorithms in a class of models ranging from DGLAP to CCFM. One of the purposes of the above MMCs is to test the other more sophisticated Monte Carlo programs, the so-called Constrained Monte Carlo (CMC) programs, which will be used as a building block in the parton shower MC. This is why the mapping of the evolution variables (eikonal variable and evolution time) into four- momenta is also defined and tested. The evolution time is identified with the rapidity variable of the emitted parton. The presented MMCs are tested independently, with ∼ 0.1% precision, against the non-MC program APCheb especially devised for this purpose. (author)

Availability note (English)

Also available at http://th-www.if.uj.edu.pl/acta/

Additional details

Additional titles

Augmented title (English)
PACS numbers: 12.38.?, 12.38.Bx, 12.38.Cy

Identifiers

URL
http://th-www.if.uj.edu.pl/acta/;

Publishing Information

Journal Title
Acta Physica Polonica. Series B
Journal Volume
B39
Journal Issue
1
Journal Page Range
p. 115-145
ISSN
0587-4254

INIS

Country of Publication
Poland
Country of Input or Organization
Poland
INIS RN
39022926
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGORITHMS; CALCULATION METHODS; CORRECTIONS; DISTRIBUTION FUNCTIONS; EVOLUTION; FORM FACTORS; GLUONS; KERNELS; MATHEMATICAL SOLUTIONS; MONTE CARLO METHOD; QUANTUM CHROMODYNAMICS; QUARKS; SUM RULES; TIME DEPENDENCE
Descriptors DEC
BOSONS; CALCULATION METHODS; DIMENSIONLESS NUMBERS; EQUATIONS; FERMIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL LOGIC; PARTICLE PROPERTIES; QUANTUM FIELD THEORY

Optional Information

Contract/Grant/Project number
EU grant MTKD-CT-2004-510126; grant No 620/E-77/6.PR UE/DIE 188/2005-2008
Notes
16 refs., 9 figs.
Funding organization
Polish Ministry of Scien- tific Research and Information Technology (Poland)