Cargando…

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...

Descripción completa

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
Descripción
Sumario: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.