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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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Lenguaje: | eng |
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2011
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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. |
id | cern-1325927 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
record_format | invenio |
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 |