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Magic spinor product methods in loop integrals

We present an approach to higher point loop integrals using Chinese magic in the virtual loop integration variable. We show, using the five point function in the important e^+e^-\to f\bar{f}+\gamma process for ISR as a pedagogical vehicle, that we get an expression for it directly reduced to one sca...

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Detalles Bibliográficos
Autor principal: Ward, B.F.L.
Lenguaje:eng
Publicado: 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.83.113014
https://dx.doi.org/10.1103/PhysRevD.87.099901
http://cds.cern.ch/record/1325927
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author Ward, B.F.L.
author_facet Ward, B.F.L.
author_sort Ward, B.F.L.
collection CERN
description We present an approach to higher point loop integrals using Chinese magic in the virtual loop integration variable. We show, using the five point function in the important e^+e^-\to f\bar{f}+\gamma process for ISR as a pedagogical vehicle, that we get an expression for it directly reduced to one scalar 5-point function and 4-, 3-, and 2- point integrals, thereby avoiding the computation of the usual three tensor 5-pt Passarino-Veltman reduction. We argue that this offers potential for greater numerical stability.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2011
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spelling cern-13259272023-03-14T20:30:49Zdoi:10.1103/PhysRevD.83.113014doi:10.1103/PhysRevD.87.099901http://cds.cern.ch/record/1325927engWard, B.F.L.Magic spinor product methods in loop integralsParticle Physics - PhenomenologyAstrophysics and AstronomyWe present an approach to higher point loop integrals using Chinese magic in the virtual loop integration variable. We show, using the five point function in the important e^+e^-\to f\bar{f}+\gamma process for ISR as a pedagogical vehicle, that we get an expression for it directly reduced to one scalar 5-point function and 4-, 3-, and 2- point integrals, thereby avoiding the computation of the usual three tensor 5-pt Passarino-Veltman reduction. We argue that this offers potential for greater numerical stability.We present an approach to higher point loop integrals using Chinese magic in the virtual loop integration variable. We show, using the five point function in the important e^+e^-\to f\bar{f}+\gamma process for ISR as a pedagogical vehicle, that we get an expression for it directly reduced to one scalar 5-point function and 4-, 3-, and 2- point integrals, thereby avoiding the computation of the usual three tensor 5-pt Passarino-Veltman reduction. We argue that this offers potential for greater numerical stability.arXiv:1101.5981BU-HEPP-10-07CERN-PH-TH-2011-029BU-HEPP-10-07CERN-PH-TH-2011-029oai:cds.cern.ch:13259272011-02-01
spellingShingle Particle Physics - Phenomenology
Astrophysics and Astronomy
Ward, B.F.L.
Magic spinor product methods in loop integrals
title Magic spinor product methods in loop integrals
title_full Magic spinor product methods in loop integrals
title_fullStr Magic spinor product methods in loop integrals
title_full_unstemmed Magic spinor product methods in loop integrals
title_short Magic spinor product methods in loop integrals
title_sort magic spinor product methods in loop integrals
topic Particle Physics - Phenomenology
Astrophysics and Astronomy
url https://dx.doi.org/10.1103/PhysRevD.83.113014
https://dx.doi.org/10.1103/PhysRevD.87.099901
http://cds.cern.ch/record/1325927
work_keys_str_mv AT wardbfl magicspinorproductmethodsinloopintegrals