Closed-Form Decomposition of One-Loop Massive Amplitudes

We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, afte...

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Detalles Bibliográficos
Autores principales: Britto, Ruth, Feng, Bo, Mastrolia, Pierpaolo
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.78.025031
http://cds.cern.ch/record/1094295
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author Britto, Ruth
Feng, Bo
Mastrolia, Pierpaolo
author_facet Britto, Ruth
Feng, Bo
Mastrolia, Pierpaolo
author_sort Britto, Ruth
collection CERN
description We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. Their validity is confirmed in two known cases of helicity amplitudes contributing to gg -> gg and gg -> gH, where the masses of the Higgs and the fermion circulating in the loop are kept as free parameters.
id cern-1094295
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-10942952023-08-29T06:13:59Zdoi:10.1103/PhysRevD.78.025031http://cds.cern.ch/record/1094295engBritto, RuthFeng, BoMastrolia, PierpaoloClosed-Form Decomposition of One-Loop Massive AmplitudesParticle Physics - PhenomenologyWe present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. Their validity is confirmed in two known cases of helicity amplitudes contributing to gg -> gg and gg -> gH, where the masses of the Higgs and the fermion circulating in the loop are kept as free parameters.We present formulas for the coefficients of 2-, 3-, 4- and 5-point master integrals for one-loop massive amplitudes. The coefficients are derived from unitarity cuts in D dimensions. The input parameters can be read off from any unitarity-cut integrand, as assembled from tree-level expressions, after simple algebraic manipulations. The formulas presented here are suitable for analytical as well as numerical evaluation. Their validity is confirmed in two known cases of helicity amplitudes contributing to gg -> gg and gg -> gH, where the masses of the Higgs and the fermion circulating in the loop are kept as free parameters.arXiv:0803.1989CERN-PH-TH-2008-050ITFA-2008-06CERN-PH-TH-2008-050oai:cds.cern.ch:10942952008-03-14
spellingShingle Particle Physics - Phenomenology
Britto, Ruth
Feng, Bo
Mastrolia, Pierpaolo
Closed-Form Decomposition of One-Loop Massive Amplitudes
title Closed-Form Decomposition of One-Loop Massive Amplitudes
title_full Closed-Form Decomposition of One-Loop Massive Amplitudes
title_fullStr Closed-Form Decomposition of One-Loop Massive Amplitudes
title_full_unstemmed Closed-Form Decomposition of One-Loop Massive Amplitudes
title_short Closed-Form Decomposition of One-Loop Massive Amplitudes
title_sort closed-form decomposition of one-loop massive amplitudes
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.78.025031
http://cds.cern.ch/record/1094295
work_keys_str_mv AT brittoruth closedformdecompositionofoneloopmassiveamplitudes
AT fengbo closedformdecompositionofoneloopmassiveamplitudes
AT mastroliapierpaolo closedformdecompositionofoneloopmassiveamplitudes

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