The role of colour flows in matrix element computations and Monte Carlo simulations

Abstract We discuss how colour flows can be used to simplify the computation of matrix elements, and in the context of parton shower Monte Carlos with accuracy beyond leading-colour. We show that, by systematically employing them, the results for tree-level matrix elements and their soft limits can...

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Autores principales:	Stefano Frixione, Bryan R. Webber
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	NLO Computations QCD Phenomenology Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/e3fdc6ae8b05469cae9515976fe8016e
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spelling	oai:doaj.org-article:e3fdc6ae8b05469cae9515976fe8016e2021-11-14T12:39:59ZThe role of colour flows in matrix element computations and Monte Carlo simulations10.1007/JHEP11(2021)0451029-8479https://doaj.org/article/e3fdc6ae8b05469cae9515976fe8016e2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)045https://doaj.org/toc/1029-8479Abstract We discuss how colour flows can be used to simplify the computation of matrix elements, and in the context of parton shower Monte Carlos with accuracy beyond leading-colour. We show that, by systematically employing them, the results for tree-level matrix elements and their soft limits can be given in a closed form that does not require any colour algebra. The colour flows that we define are a natural generalization of those exploited by existing Monte Carlos; we construct their representations in terms of different but conceptually equivalent quantities, namely colour loops and dipole graphs, and examine how these objects may help to extend the accuracy of Monte Carlos through the inclusion of subleading-colour effects. We show how the results that we obtain can be used, with trivial modifications, in the context of QCD+QED simulations, since we are able to put the gluon and photon soft-radiation patterns on the same footing. We also comment on some peculiar properties of gluon-only colour flows, and their relationships with established results in the mathematics of permutations.Stefano FrixioneBryan R. WebberSpringerOpenarticleNLO ComputationsQCD PhenomenologyNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-76 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	NLO Computations QCD Phenomenology Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	NLO Computations QCD Phenomenology Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Stefano Frixione Bryan R. Webber The role of colour flows in matrix element computations and Monte Carlo simulations
description	Abstract We discuss how colour flows can be used to simplify the computation of matrix elements, and in the context of parton shower Monte Carlos with accuracy beyond leading-colour. We show that, by systematically employing them, the results for tree-level matrix elements and their soft limits can be given in a closed form that does not require any colour algebra. The colour flows that we define are a natural generalization of those exploited by existing Monte Carlos; we construct their representations in terms of different but conceptually equivalent quantities, namely colour loops and dipole graphs, and examine how these objects may help to extend the accuracy of Monte Carlos through the inclusion of subleading-colour effects. We show how the results that we obtain can be used, with trivial modifications, in the context of QCD+QED simulations, since we are able to put the gluon and photon soft-radiation patterns on the same footing. We also comment on some peculiar properties of gluon-only colour flows, and their relationships with established results in the mathematics of permutations.
format	article
author	Stefano Frixione Bryan R. Webber
author_facet	Stefano Frixione Bryan R. Webber
author_sort	Stefano Frixione
title	The role of colour flows in matrix element computations and Monte Carlo simulations
title_short	The role of colour flows in matrix element computations and Monte Carlo simulations
title_full	The role of colour flows in matrix element computations and Monte Carlo simulations
title_fullStr	The role of colour flows in matrix element computations and Monte Carlo simulations
title_full_unstemmed	The role of colour flows in matrix element computations and Monte Carlo simulations
title_sort	role of colour flows in matrix element computations and monte carlo simulations
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/e3fdc6ae8b05469cae9515976fe8016e
work_keys_str_mv	AT stefanofrixione theroleofcolourflowsinmatrixelementcomputationsandmontecarlosimulations AT bryanrwebber theroleofcolourflowsinmatrixelementcomputationsandmontecarlosimulations AT stefanofrixione roleofcolourflowsinmatrixelementcomputationsandmontecarlosimulations AT bryanrwebber roleofcolourflowsinmatrixelementcomputationsandmontecarlosimulations
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The role of colour flows in matrix element computations and Monte Carlo simulations

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