Double-box contributions to Møller scattering in the Standard Model

The paper investigates contributions of γ , Z , W and ghost intermediate states of box-type to the parity-violating Møller scattering asymmetry up to two-loop level. Using the Yennie–Frautschi–Suura factorization form for amplitudes, we demonstrate that QED corrections, with an exception of vacuum-p...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2012-12, Vol.72 (12), p.1-21, Article 2249
Hauptverfasser: Aleksejevs, A. G., Barkanova, S. G., Bystritskiy, Y. M., Ilyichev, A. N., Kuraev, E. A., Zykunov, V. A.
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Sprache:eng
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Zusammenfassung:The paper investigates contributions of γ , Z , W and ghost intermediate states of box-type to the parity-violating Møller scattering asymmetry up to two-loop level. Using the Yennie–Frautschi–Suura factorization form for amplitudes, we demonstrate that QED corrections, with an exception of vacuum-polarization effects, cancel at the asymmetry level. We obtain chiral amplitudes at Born, one-loop and partially at two-loop level: ladder boxes and decorated boxes. Our calculations are relevant for the ultra-precise 11 GeV MØLLER experiment planned at Jefferson Laboratory. The numerical comparison of the two-loop contributions with the experimental accuracy of MØLLER is provided.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-012-2249-x