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The Metropolis algorithm for on-shell four-momentum phase space

1999/09/30 by Hamid Kharraziha, Stefano Moretti · 18 citations
Mathematics · Physics and Astronomy · #Algorithm #Classical mechanics #Computer science #High-Energy Particle Collisions Research #Kinematics #Markov chain Monte Carlo #Mathematical Approximation and Integration #Mathematics #Metropolis–Hastings algorithm #Momentum (technical analysis) #Monte Carlo method #Particle physics theoretical and experimental studies #Phase space #Physics #Position and momentum space #Quantum mechanics #Space (punctuation) #Statistical physics #Statistics #hep-ph

paper · pdf · doi:10.1016/s0010-4655(99)00504-4

published in Computer Physics Communications 127(2-3), 242-260 (Elsevier BV) · 28+3 pages, To appear in Computer Physics Communications. One proof revised, to appear as Erratum in CPC

openalex publication_date 2000/05/01 · arxiv created 2000/05/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

We present several implementations of the Metropolis method, an adaptive Monte Carlo algorithm, which allow for the calculation of multi-dimensional integrals over arbitrary on-shell four-momentum phase space. The Metropolis technique reveals itself very suitable for the treatment of high energy processes in particle physics, particularly when the number of final state objects and of kinematic constraints on the latter gets larger. We compare the performances of the Metropolis algorithm with those of other programs widely used in numerical simulations.

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