Virtual Hadronic and Heavy-Fermion O(alpha^2) Corrections to Bhabha Scattering

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dc.creatorActis, Stefano
dc.creatorCzakon, Michal
dc.creatorGluza, Janusz
dc.creatorRiemann, Tord
dc.date2008-07-29
dc.date.accessioned2026-07-07T11:45:11Z
dc.date.available2026-07-07T11:45:11Z
dc.descriptionEffects of vacuum polarization by hadronic and heavy-fermion insertions were the last unknown two-loop QED corrections to high-energy Bhabha scattering and have been first announced in \cite{Actis:2007fs}. Here we describe the corrections in detail and explore their numerical influence. The hadronic contributions to the virtual O(alpha^2) QED corrections to the Bhabha-scattering cross-section are evaluated using dispersion relations and computing the convolution of hadronic data with perturbatively calculated kernel functions. The technique of dispersion integrals is also employed to derive the virtual O(alpha^2) corrections generated by muon-, tau- and top-quark loops in the small electron-mass limit for arbitrary values of the internal-fermion masses. At a meson factory with 1 GeV center-of-mass energy the complete effect of hadronic and heavy-fermion corrections amounts to less than 0.5 per mille and reaches, at 10 GeV, up to about 2 per mille. At the Z resonance it amounts to 2.3 per mille at 3 degrees; overall, hadronic corrections are less than 4 per mille. For ILC energies (500 GeV or above), the combined effect of hadrons and heavy-fermions becomes 6 per mille at 3 degrees; hadrons contribute less than 20 per mille in the whole angular region.
dc.description38 pages, LaTeX, 21 figures
dc.identifierhttps://arxiv.org/abs/0807.4691
dc.identifierhttp://arxiv.org/abs/0807.4691
dc.identifierPhys.Rev.D78:085019,2008
dc.identifierdoi:10.1103/PhysRevD.78.085019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201801
dc.subjectHigh Energy Physics - Phenomenology
dc.titleVirtual Hadronic and Heavy-Fermion O(alpha^2) Corrections to Bhabha Scattering
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