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Phys. Rev. Lett. 100, 131602 (2008) [4 pages]

Virtual Hadronic and Leptonic Contributions to Bhabha Scattering

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Stefano Actis1, Michał Czakon2,3, Janusz Gluza3, and Tord Riemann4
1Institut für Theoretische Physik E, RWTH Aachen, D-52056 Aachen, Germany
2Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
3Institute of Physics, University of Silesia, Uniwersytecka 4, PL-40007 Katowice, Poland
4Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany

Received 4 December 2007; published 2 April 2008

Using dispersion relations, we derive the complete virtual QED contributions to Bhabha scattering due to vacuum polarization effects. We apply our result to hadronic corrections and to heavy lepton and top quark loop insertions. We give the first complete estimate of their net numerical effects for both small and large angle scattering at typical beam energies of meson factories, the CERN Large Electron-Positron Collider, and the International Linear Collider. With a typical amount of 1–3 per mil they are of relevance for precision experiments.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.131602
DOI:
10.1103/PhysRevLett.100.131602
PACS:
12.20.Ds