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- W2013928574 abstract "Effects 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 announced in [S. Actis, M. Czakon, J. Gluza, and T. Riemann, Phys. Rev. Lett. 100, 131602 (2008).]. Here we describe the corrections in detail and explore their numerical influence. The hadronic contributions to the virtual $mathcal{O}({ensuremath{alpha}}^{2})$ 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 $mathcal{O}({ensuremath{alpha}}^{2})$ 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." @default.
- W2013928574 created "2016-06-24" @default.
- W2013928574 creator A5005057980 @default.
- W2013928574 creator A5032103278 @default.
- W2013928574 creator A5043582072 @default.
- W2013928574 creator A5067993512 @default.
- W2013928574 date "2008-10-23" @default.
- W2013928574 modified "2023-09-24" @default.
- W2013928574 title "Virtual hadronic and heavy-fermion<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=script>O</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mi>α</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy=false>)</mml:mo></mml:math>corrections to Bhabha scattering" @default.
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