Quadratic electroweak corrections for polarized Moller scattering

Physical review D: Particles and fields (Impact Factor: 4.86). 10/2011; 85(1). DOI: 10.1103/PhysRevD.85.013007
Source: arXiv

ABSTRACT The paper discusses the two-loop (NNLO) electroweak radiative corrections to
the parity violating electron-electron scattering asymmetry induced by squaring
one-loop diagrams. The calculations are relevant for the ultra-precise 11 GeV
MOLLER experiment planned at Jefferson Laboratory and experiments at
high-energy future electron colliders. The imaginary parts of the amplitudes
are taken into consideration consistently in both the infrared-finite and
divergent terms. The size of the obtained partial correction is significant,
which indicates a need for a complete study of the two-loop electroweak
radiative corrections in order to meet the precision goals of future

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    ABSTRACT: Within the on-shell renormalization scheme, two-loop electroweak corrections to the parityviolating polarization asymmetry in the reaction e −e − → e −e −(γ, γγ) were estimated for the MOLLER experiment at JLab. The infrared divergence and the imaginary part of the amplitude were taken completely under control. Relevant compact expressions obtained by using asymptotic methods are free from unphysical parameters and are convenient for analysis and for numerical estimations. A numerical analysis revealed a significant scale of two-loop effects and the need for taking them into account in the MOLLER experiment.
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    ABSTRACT: The paper discusses the two-loop (NNLO) electroweak radiative corrections to the parity-violating Moller scattering asymmetry induced by insertions to boxes of electron and neutrino mass operators (fermion self-energies), vertex functions and boson self-energies. The results will be relevant to the ultra-precise 11 GeV MOLLER experiment planned at the Jefferson Laboratory, which will measure the weak charge of the electron and search for new physics. The numerical estimations for the NNLO contribution to the cross section asymmetry are presented.
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    ABSTRACT: 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.
    European Physical Journal C 12/2012; 72(12). DOI:10.1140/epjc/s10052-012-2249-x · 5.44 Impact Factor

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May 26, 2014

Aleksandrs Aleksejevs