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Bibliographic Details
Main Authors: Cruz-Martinez, Juan M., De Laurentis, Giuseppe, Pellen, Mathieu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.07060
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author Cruz-Martinez, Juan M.
De Laurentis, Giuseppe
Pellen, Mathieu
author_facet Cruz-Martinez, Juan M.
De Laurentis, Giuseppe
Pellen, Mathieu
contents This work provides a proof of concept for the computation of pure gluonic amplitudes in quantum chromodynamics (QCD) on graphics processing units (GPUs). The implementation relies on the Berends-Giele recursion algorithm and, for the first time on a GPU, enables the numerical computation of amplitudes in an arbitrary number of space-time dimensions and over finite fields. This demonstrates the advantages of hardware acceleration, not only for the computation of tree-level amplitudes for real-radiation processes in four dimensions over complex numbers but also for generating loop integrands for virtual corrections in $d$ dimensions over finite fields. The associated computer program is publicly available.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07060
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Accelerating Berends-Giele recursion for gluons in arbitrary dimensions over finite fields
Cruz-Martinez, Juan M.
De Laurentis, Giuseppe
Pellen, Mathieu
High Energy Physics - Phenomenology
Computational Physics
This work provides a proof of concept for the computation of pure gluonic amplitudes in quantum chromodynamics (QCD) on graphics processing units (GPUs). The implementation relies on the Berends-Giele recursion algorithm and, for the first time on a GPU, enables the numerical computation of amplitudes in an arbitrary number of space-time dimensions and over finite fields. This demonstrates the advantages of hardware acceleration, not only for the computation of tree-level amplitudes for real-radiation processes in four dimensions over complex numbers but also for generating loop integrands for virtual corrections in $d$ dimensions over finite fields. The associated computer program is publicly available.
title Accelerating Berends-Giele recursion for gluons in arbitrary dimensions over finite fields
topic High Energy Physics - Phenomenology
Computational Physics
url https://arxiv.org/abs/2502.07060