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Small angle Bhabha scattering for LEP

We present the results of our calculations to a one, two, and three loop approximation of the e^+e^-\rightarrow e^+e^- Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected cross-section, within an accuracy of \delta\sigma/ \sigma = 0.1 \% , are explici...

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Detalles Bibliográficos
Autores principales: Arbuzov, A B, Fadin, V S, Kuraev, E A, Lipatov, L N, Merenkov, N P, Trentadue, L G
Lenguaje:eng
Publicado: CERN 1995
Materias:
Acceso en línea:https://dx.doi.org/10.5170/CERN-1995-003.369
http://cds.cern.ch/record/283383
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author Arbuzov, A B
Fadin, V S
Kuraev, E A
Lipatov, L N
Merenkov, N P
Trentadue, L G
author_facet Arbuzov, A B
Fadin, V S
Kuraev, E A
Lipatov, L N
Merenkov, N P
Trentadue, L G
author_sort Arbuzov, A B
collection CERN
description We present the results of our calculations to a one, two, and three loop approximation of the e^+e^-\rightarrow e^+e^- Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected cross-section, within an accuracy of \delta\sigma/ \sigma = 0.1 \% , are explicitely evaluated and presented in an analytic form. O(\alpha) and O(\alpha^2) contributions are kept up to next-to-leading logarithmic accuracy, and O(\alpha^3) terms are taken into account to the leading logarithmic approximation. We define an experimentally measurable cross-section by integrating the calculated distributions over a given range of final-state energies and angles. The cross-sections for exclusive channels as well as for the totally integrated distributions are also given.
id cern-283383
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
publisher CERN
record_format invenio
spelling cern-2833832019-09-30T06:29:59Zdoi:10.5170/CERN-1995-003.369http://cds.cern.ch/record/283383engArbuzov, A BFadin, V SKuraev, E ALipatov, L NMerenkov, N PTrentadue, L GSmall angle Bhabha scattering for LEPParticle Physics - PhenomenologyWe present the results of our calculations to a one, two, and three loop approximation of the e^+e^-\rightarrow e^+e^- Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected cross-section, within an accuracy of \delta\sigma/ \sigma = 0.1 \% , are explicitely evaluated and presented in an analytic form. O(\alpha) and O(\alpha^2) contributions are kept up to next-to-leading logarithmic accuracy, and O(\alpha^3) terms are taken into account to the leading logarithmic approximation. We define an experimentally measurable cross-section by integrating the calculated distributions over a given range of final-state energies and angles. The cross-sections for exclusive channels as well as for the totally integrated distributions are also given.CERNhep-ph/9506323UPRF-424oai:cds.cern.ch:2833831995-06-14
spellingShingle Particle Physics - Phenomenology
Arbuzov, A B
Fadin, V S
Kuraev, E A
Lipatov, L N
Merenkov, N P
Trentadue, L G
Small angle Bhabha scattering for LEP
title Small angle Bhabha scattering for LEP
title_full Small angle Bhabha scattering for LEP
title_fullStr Small angle Bhabha scattering for LEP
title_full_unstemmed Small angle Bhabha scattering for LEP
title_short Small angle Bhabha scattering for LEP
title_sort small angle bhabha scattering for lep
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.5170/CERN-1995-003.369
http://cds.cern.ch/record/283383
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