Parity violating Moller scattering asymmetry up to the two-loop level

A. G. Aleksejevs; S. G. Barkanova; Yu. M. Bystritskiy; A. N. Ilyichev; E. A. Kuraev; V. A. Zykunov

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arXiv · 1202.0378

Parity violating Moller scattering asymmetry up to the two-loop level

A. G. Aleksejevs·S. G. Barkanova·Yu. M. Bystritskiy·A. N. Ilyichev·E. A. Kuraev·V. A. Zykunov

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Abstract

The paper investigates contributions of $Z$, $W$ and $γ$ intermediate states to the parity-violating Moller 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: boxes with lepton self-energies, ladder boxes and decorated boxes. Our calculations are relevant for the ultra-precise 11 GeV MOLLER experiment planned at Jefferson Laboratory and future ILC experiments. The numerical comparision of the two-loop contributions with the experimental accuracy of MOLLER is provided.

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A. G. Aleksejevs, S. G. Barkanova, Yu. M. Bystritskiy, A. N. Ilyichev, E. A. Kuraev, V. A. Zykunov. 2012-02-02. Parity violating Moller scattering asymmetry up to the two-loop level. https://arxiv.org/abs/1202.0378

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