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Analytic Continuation of Massless Two-Loop Four-Point Functions

We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like $1\to 3$ decay to Minkowskian regions relevant to all $1\to 3$ and $2\to 2$ reactions with one space-like or time-like off-...

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Detalles Bibliográficos
Autores principales: Gehrmann, T., Remiddi, E.
Lenguaje:eng
Publicado: 2002
Materias:
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(02)00569-2
http://cds.cern.ch/record/565820
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author Gehrmann, T.
Remiddi, E.
author_facet Gehrmann, T.
Remiddi, E.
author_sort Gehrmann, T.
collection CERN
description We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like $1\to 3$ decay to Minkowskian regions relevant to all $1\to 3$ and $2\to 2$ reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix elements for hadronic vector-boson-plus-jet production and deep inelastic two-plus-one-jet production, from results previously obtained for three-jet production in electron--positron annihilation.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-5658202023-03-14T20:18:54Zdoi:10.1016/S0550-3213(02)00569-2http://cds.cern.ch/record/565820engGehrmann, T.Remiddi, E.Analytic Continuation of Massless Two-Loop Four-Point FunctionsParticle Physics - PhenomenologyWe describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like $1\to 3$ decay to Minkowskian regions relevant to all $1\to 3$ and $2\to 2$ reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix elements for hadronic vector-boson-plus-jet production and deep inelastic two-plus-one-jet production, from results previously obtained for three-jet production in electron--positron annihilation.We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like $1\to 3$ decay to Minkowskian regions relevant to all $1\to 3$ and $2\to 2$ reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix elements for hadronic vector-boson-plus-jet production and deep inelastic two-plus-one-jet production, from results previously obtained for three-jet production in electron--positron annihilation.We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like 1→3 decay to Minkowskian regions relevant to all 1→3 and 2→2 reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix elements for hadronic vector-boson-plus-jet production and deep inelastic two-plus-one-jet production, from results previously obtained for three-jet production in electron–positron annihilation.hep-ph/0207020CERN-TH-2002-145CERN-TH-2002-145oai:cds.cern.ch:5658202002-07-01
spellingShingle Particle Physics - Phenomenology
Gehrmann, T.
Remiddi, E.
Analytic Continuation of Massless Two-Loop Four-Point Functions
title Analytic Continuation of Massless Two-Loop Four-Point Functions
title_full Analytic Continuation of Massless Two-Loop Four-Point Functions
title_fullStr Analytic Continuation of Massless Two-Loop Four-Point Functions
title_full_unstemmed Analytic Continuation of Massless Two-Loop Four-Point Functions
title_short Analytic Continuation of Massless Two-Loop Four-Point Functions
title_sort analytic continuation of massless two-loop four-point functions
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0550-3213(02)00569-2
http://cds.cern.ch/record/565820
work_keys_str_mv AT gehrmannt analyticcontinuationofmasslesstwoloopfourpointfunctions
AT remiddie analyticcontinuationofmasslesstwoloopfourpointfunctions