Virtual Hadronic and Leptonic Contributions to Bhabha Scattering

Abstract

Using dispersion relations, we derive the complete virtual QED contributions to Bhabha scattering due to vacuum polarization effects in photon propagation. 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, LEP, and the ILC. The effects turn out to be smaller, in most cases, than those corresponding to electron loop insertions, but stay, with amounts of typically one per mille, of relevance for precision experiments. Hadronic corrections themselves are typically about 2-3 times larger than those of intermediate muon pairs (the largest heavy leptonic terms).

4 pages, 5 figures; v.2 with revised text version for PRL, results completely unchanged

References in corpus (6)

• Two-loop QED corrections to Bhabha scattering
• Two-Loop Correction to Bhabha Scattering
• Two-Loop Corrections to Bhabha Scattering
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Second order contributions to elastic large-angle Bhabha scattering
• Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section

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